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공개 퀴즈 목록 (256개 중 161-180)
| ID | 과목 | 파일명 | 문제 수 | 퀴즈 타입 | 소유자 | 통계 조회/가져오기 |
등록일 | 작업 |
|---|---|---|---|---|---|---|---|---|
| 288 | 🔢 Mathematics |
math_quiz4_8_applications_of_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 287 | 🔢 Mathematics |
math_quiz4_7_transformations_of_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 286 | 🔢 Mathematics |
math_quiz4_6_function_notation
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 285 | 🔢 Mathematics |
math_quiz4_5_direct_and_inverse_variation
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 284 | 🔢 Mathematics |
math_quiz4_4_slope_and_rate_of_change
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 283 | 🔢 Mathematics |
math_quiz4_3_graphing_linear_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 282 | 🔢 Mathematics |
math_quiz4_2_linear_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 281 | 🔢 Mathematics |
math_quiz4_1_introduction_to_functions
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 280 | 🔢 Mathematics |
math_quiz3_8_geometric_transformations
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 279 | 🔢 Mathematics |
math_quiz3_7_volume_of_3d_shapes
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 278 | 🔢 Mathematics |
math_quiz3_6_surface_area
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 277 | 🔢 Mathematics |
math_quiz3_5_perimeter_and_area
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 276 | 🔢 Mathematics |
math_quiz3_4_circles_and_their_properties
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 275 | 🔢 Mathematics |
math_quiz3_3_quadrilaterals_and_polygons
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 274 | 🔢 Mathematics |
math_quiz3_2_angles_and_triangles
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 273 | 🔢 Mathematics |
math_quiz3_1_basic_geometric_concepts
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 272 | 🔢 Mathematics |
math_quiz2_8_applications_of_inequalities
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 271 | 🔢 Mathematics |
math_quiz2_7_compound_inequalities
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 270 | 🔢 Mathematics |
math_quiz2_6_solving_linear_inequalities
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
| 269 | 🔢 Mathematics |
math_quiz2_5_introduction_to_inequalities
|
25문제 | 🛡️ 교강사 | admin | 👁️ 0 / 📥 0 | 2025-11-25 14:16:19 |
|
📖 math_quiz4_8_applications_of_functions
A business has fixed costs of $200 and variable costs of $5 per item. What is the cost function C(x)?
1. C(x) = 200x + 5
2. C(x) = 200 - 5x
3. C(x) = 5x + 200 ✓
4. C(x) = 205x
If revenue R(x) = 12x and cost C(x) = 3x + 90, what is the profit function P(x)?
1. P(x) = 15x + 90
2. P(x) = 9x - 90 ✓
3. P(x) = 9x + 90
4. P(x) = 15x - 90
A car travels at 60 km/h for t hours. What is the distance function?
1. d(t) = t + 60
2. d(t) = 60t ✓
3. d(t) = 60/t
4. d(t) = t/60
Convert 30°C to Fahrenheit using F = (9/5)C + 32
1. 54°F
2. 62°F
3. 98°F
4. 86°F ✓
A town population is P(t) = 5000 + 200t (t in years after 2020). What will the population be in 2030?
1. 8000
2. 6000
3. 7000 ✓
4. 9000
A phone plan costs $30 + $0.10 per minute. How many minutes can you use for $50?
1. 200 minutes ✓
2. 150 minutes
3. 100 minutes
4. 500 minutes
Worker A completes a job in 6 hours. Worker B completes it in 3 hours. Working together, how long to finish?
1. 2 hours ✓
2. 1.5 hours
3. 2.5 hours
4. 4.5 hours
A ball is dropped from 45m. Its height is h(t) = 45 - 5t². When does it hit the ground?
1. t = 4 seconds
2. t = 3 seconds ✓
3. t = 5 seconds
4. t = 9 seconds
A rectangle has perimeter 40cm. If length is L, area A(L) = L(20 - L). What length gives maximum area?
1. 5 cm
2. 15 cm
3. 10 cm ✓
4. 20 cm
Taxi A costs $4 + $1.50/km. Taxi B costs $2 + $2/km. At what distance do they cost the same?
1. 2 km
2. 3 km
3. 5 km
4. 4 km ✓
A plumber charges $50 plus $30/hour. The function is:
1. C(h) = 50h + 30
2. C(h) = 30h + 50 ✓
3. C(h) = 80h
4. C(h) = 50 + 30
If revenue R(x) = 15x and cost C(x) = 5x + 100, what is profit when x = 20?
1. $300
2. $200
3. $100 ✓
4. $400
Temperature is T(h) = 20 + 2h. What was initial temperature?
1. 20°C ✓
2. 18°C
3. 2°C
4. 22°C
A car rental costs $40/day plus $0.25/km. For 3 days and 200 km, total cost is:
1. $120
2. $50
3. $170 ✓
4. $200
Population P(t) = 1000 + 50t. When will it reach 1500?
1. t = 5
2. t = 20
3. t = 15
4. t = 10 ✓
A tank has 500L and drains at 25L/min. Function for volume:?
1. V(t) = 500 + 25t
2. V(t) = 25t - 500
3. V(t) = 500 - 25t ✓
4. V(t) = 525t
Profit P(x) = 12x - 100. Break-even occurs when:?
1. x = 100/12 ✓
2. x = 12
3. x = 0
4. x = 100
Distance d(t) = 60t. How far in 2.5 hours?
1. 60 km
2. 120 km
3. 240 km
4. 150 km ✓
Celsius to Fahrenheit: F(C) = (9/5)C + 32. What is F(25)?
1. 77°F ✓
2. 57°F
3. 45°F
4. 97°F
A spring stretches 2cm for each 100g. Function for stretch s(m) in cm:?
1. s(m) = m/100
2. s(m) = 2m
3. s(m) = 100m
4. s(m) = m/50 ✓
Store has fixed cost $2000 and variable cost $15/item. For 100 items, total cost:?
1. $1500
2. $3500 ✓
3. $2000
4. $17000
Height of ball: h(t) = -5t² + 20t + 2. Initial height:?
1. 0 m
2. 2 m ✓
3. 20 m
4. 22 m
Printer charges $25 setup + $0.50/page. For 200 pages:?
1. $125 ✓
2. $100
3. $25
4. $150
If f(x) = 2x represents doubling, what does f(f(x)) represent?
1. Doubling twice (×4) ✓
2. Adding 4
3. Squaring
4. Multiplying by 8
Water flows at 15 L/min into empty tank. V(t) = 15t. When will it have 300L?
1. 5 min
2. 10 min
3. 15 min
4. 20 min ✓
📖 math_quiz4_7_transformations_of_functions
How does the graph of f(x) + 3 compare to f(x)?
1. Shifted left 3 units
2. Shifted right 3 units
3. Shifted up 3 units ✓
4. Shifted down 3 units
How does the graph of f(x - 2) compare to f(x)?
1. Shifted left 2 units
2. Shifted right 2 units ✓
3. Shifted up 2 units
4. Shifted down 2 units
What transformation does -f(x) represent?
1. Reflection over y-axis
2. Reflection over x-axis ✓
3. Vertical stretch
4. Horizontal shift
What transformation does f(-x) represent?
1. Shift up
2. Reflection over x-axis
3. Vertical compression
4. Reflection over y-axis ✓
How does 3f(x) compare to f(x)?
1. Horizontally stretched
2. Shifted up 3 units
3. Vertically stretched ✓
4. Reflected over x-axis
The function g(x) = (x + 4)² - 1 is f(x) = x² after which transformations?
1. Left 4, down 1 ✓
2. Right 4, up 1
3. Right 4, down 1
4. Left 4, up 1
If point (2, 5) is on f(x), where is it on f(x) + 3?
1. (2, 8) ✓
2. (5, 5)
3. (2, 2)
4. (-1, 5)
If point (3, 7) is on f(x), where is it on f(x - 1)?
1. (2, 7)
2. (4, 7) ✓
3. (3, 6)
4. (3, 8)
Which function represents a vertical compression of f(x)?
1. g(x) = 2f(x)
2. g(x) = f(2x)
3. g(x) = 0.5f(x) ✓
4. g(x) = -f(x)
The transformation from y = x² to y = -(x - 2)² + 3 includes:?
1. Only reflection and vertical shift
2. Only horizontal and vertical shifts
3. Reflection, horizontal shift left 2, vertical shift down 3
4. Reflection, horizontal shift right 2, vertical shift up 3 ✓
How does f(x) - 5 transform the graph of f(x)?
1. Shift left 5
2. Shift down 5 ✓
3. Shift up 5
4. Shift right 5
The graph of f(x + 3) is f(x) shifted:?
1. Up 3
2. Right 3
3. Left 3 ✓
4. Down 3
What does 2f(x) do to the graph?
1. Vertical stretch by 2 ✓
2. Horizontal stretch by 2
3. Shift up 2
4. Reflect over x-axis
f(-x) represents a reflection over:
1. x-axis
2. Origin
3. y-axis ✓
4. Line y=x
How does -f(x) transform the graph?
1. Vertical stretch
2. Reflect over y-axis
3. Shift down
4. Reflect over x-axis ✓
The graph of f(x - 4) + 2 is shifted:?
1. Right 4, down 2
2. Left 4, up 2
3. Right 4, up 2 ✓
4. Left 4, down 2
If (3, 5) is on f(x), where is it on f(x) + 3?
1. (3, 8) ✓
2. (6, 5)
3. (3, 2)
4. (0, 5)
Which transformation makes a graph narrower?
1. f(x/2)
2. f(x) + 2
3. 2f(x)
4. f(2x) ✓
The transformation from y = x² to y = -(x-1)² + 3 includes:?
1. Reflection and shifts ✓
2. Only reflection
3. Only shifts
4. Stretch and reflection
If point (2, 7) is on f(x), where is it on f(x - 5)?
1. (2, 12)
2. (-3, 7)
3. (2, 2)
4. (7, 7) ✓
How does 0.5f(x) affect the graph?
1. Vertical stretch
2. Vertical compression ✓
3. Horizontal compression
4. Horizontal stretch
The graph of f(x + 2) - 3 compared to f(x):?
1. Right 2, down 3
2. Left 2, down 3 ✓
3. Left 2, up 3
4. Right 2, up 3
Which transformation changes f(x) = x² to open downward?
1. -f(x) ✓
2. f(-x)
3. f(x) + 1
4. f(x - 1)
If f(x) = x + 1, what is the transformation to get f(x) = x - 3?
1. Shift down 4 ✓
2. Shift right 4
3. Shift left 4
4. Shift up 4
The vertex of y = (x-3)² + 5 is at:?
1. (-3, -5)
2. (-3, 5)
3. (3, -5)
4. (3, 5) ✓
📖 math_quiz4_6_function_notation
What does f(x) represent?
1. f times x
2. f divided by x
3. The output when input is x ✓
4. f plus x
If f(x) = 3x + 2, what is f(4)?
1. 10
2. 14 ✓
3. 12
4. 16
Given g(x) = x² - 5, find g(-3).
1. -4
2. 4 ✓
3. 14
4. -14
What is the domain of f(x) = 2x + 7?
1. x ≠ 0
2. x ≥ 0
3. x > 0
4. All real numbers ✓
What is the domain of h(x) = 1/(x - 3)?
1. x ≠ 0
2. x ≠ -3
3. x ≠ 3 ✓
4. All real numbers
If f(x) = 4x - 1, for what value of x is f(x) = 11?
1. x = 3 ✓
2. x = 2
3. x = 4
4. x = 5
Given f(x) = 2x and g(x) = x + 5, what is (f + g)(x)?
1. 3x + 5 ✓
2. 2x² + 5
3. 2x + 5
4. x + 7
If f(x) = x + 1 and g(x) = 2x, what is f(g(3))?
1. 6
2. 7 ✓
3. 8
4. 9
Which statement about function notation is FALSE?
1. f(x) represents the output
2. x is the input variable
3. f(x) means f times x ✓
4. f is the name of the function
A function C(n) = 20 + 5n represents cost. What does C(10) = 70 mean?
1. Base cost is $70
2. 70 items cost $10
3. Cost increases by $70
4. 10 items cost $70 ✓
If f(x) = 2x - 3, find f(-1).
1. -1
2. -5 ✓
3. 1
4. 5
Given g(x) = x² + 2x, find g(3).
1. 9
2. 11
3. 15 ✓
4. 18
If h(x) = 5, what is h(100)?
1. 5 ✓
2. 0
3. 100
4. 500
What is the domain of f(x) = 1/(x-3)?
1. All real numbers
2. x > 3
3. x ≠ 3 ✓
4. x ≥ 0
If f(x) = 3x + 1, solve for x when f(x) = 10.
1. x = 30
2. x = 4
3. x = 11/3
4. x = 3 ✓
Given f(x) = 2x and g(x) = x - 5, find f(g(7)).
1. 14
2. 9
3. 4 ✓
4. 19
If f(x) = x² - 4, for what values of x is f(x) = 0?
1. x = ±2 ✓
2. x = 0
3. x = 4
4. x = ±4
What does f(a) + f(b) equal if f(x) = 3x?
1. f(ab)
2. 3ab
3. f(a+b)
4. 3(a+b) ✓
If f(x) = |x|, what is f(-7)?
1. 7 ✓
2. 0
3. -7
4. 14
Given h(t) = t² + t, find h(0).
1. -1
2. 2
3. 1
4. 0 ✓
If f(x) = 4x - 2, what is f(x+1)?
1. 4x + 4
2. 4x + 2 ✓
3. 4x - 1
4. 4x - 2
The range of f(x) = x² for x ≥ 0 is:
1. y > 0
2. y ≥ 0 ✓
3. All real numbers
4. y ≤ 0
If g(x) = 1/x, what is g(1/2)?
1. 2 ✓
2. 1
3. 1/2
4. 4
For f(x) = 5 - x, find the value of a if f(a) = a.
1. a = 2.5 ✓
2. a = 0
3. a = 5
4. No solution
If f(x) = x³, which is larger: f(2) or f(-2)?
1. Cannot determine
2. f(-2)
3. Equal
4. f(2) ✓
📖 math_quiz4_5_direct_and_inverse_variation
If y varies directly with x, which equation represents this relationship?
1. y = k/x
2. xy = k
3. y = kx ✓
4. y = k - x
If y varies inversely with x, which equation represents this relationship?
1. y = kx
2. y = k/x ✓
3. y = k + x
4. y/x = k
y varies directly with x. If y = 24 when x = 6, what is the constant k?
1. 18
2. 4 ✓
3. 30
4. 144
y varies inversely with x. If y = 10 when x = 4, what is the constant k?
1. 2.5
2. 6
3. 14
4. 40 ✓
Which situation represents direct variation?
1. More workers, less time to finish
2. Speed when distance is fixed
3. Distance traveled at constant speed ✓
4. Width when area is constant
Which situation represents inverse variation?
1. Time to complete a job with more workers ✓
2. Perimeter of a square as side increases
3. Cost of apples as you buy more
4. Total pay with more hours worked
y varies directly with x, and y = 45 when x = 9. What is y when x = 15?
1. 75 ✓
2. 60
3. 90
4. 105
y varies inversely with x, and y = 8 when x = 6. What is y when x = 12?
1. 2
2. 4 ✓
3. 16
4. 48
What is the graph of direct variation y = kx?
1. Parabola
2. Hyperbola
3. Straight line through origin ✓
4. Horizontal line
It takes 6 workers 10 days to complete a project. How many days will it take 15 workers?
1. 25 days
2. 6 days
3. 8 days
4. 4 days ✓
y varies directly with x. If y = 20 when x = 4, find k.
1. 4
2. 5 ✓
3. 16
4. 80
y varies inversely with x. If y = 6 when x = 8, find k.
1. 2
2. 14
3. 48 ✓
4. 3/4
Which equation shows direct variation?
1. y = 5x ✓
2. y = 3x + 2
3. y = 10/x
4. xy = 12
If y varies directly with x and y = 30 when x = 6, find y when x = 10.
1. 36
2. 60
3. 50 ✓
4. 180
If y varies inversely with x and y = 12 when x = 5, find y when x = 10.
1. 120
2. 24
3. 60
4. 6 ✓
Which represents inverse variation?
1. Distance = speed × time
2. Cost = price × quantity
3. Speed = distance / time ✓
4. Area = length × width
y varies directly with x². If y = 48 when x = 4, find y when x = 6.?
1. 108 ✓
2. 72
3. 144
4. 216
5 workers finish a job in 12 days. How long for 10 workers? (inverse variation)?
1. 60 days
2. 24 days
3. 30 days
4. 6 days ✓
Which graph represents direct variation?
1. Straight line through origin ✓
2. Parabola
3. Hyperbola
4. Horizontal line
The circumference C of a circle varies directly with diameter d. What is the constant k?
1. 2
2. π²
3. 2π
4. π ✓
If xy = 24, what happens to y when x doubles?
1. y doubles
2. y is halved ✓
3. y stays same
4. y quadruples
y varies directly with x. The graph passes through (3, 12). What is the equation?
1. y = 3x
2. y = 4x ✓
3. y = 12x
4. y = x + 9
The time t to complete a trip varies inversely with speed s. If t = 4 hours at s = 60 km/h, find t at s = 80 km/h.
1. 3 hours ✓
2. 5 hours
3. 5.33 hours
4. 320 hours
Which situation does NOT represent direct variation?
1. Workers × time = constant work ✓
2. Perimeter of square = 4 × side
3. Earnings = hourly rate × hours
4. Distance = constant speed × time
y varies inversely with x. If the graph passes through (2, 15), what is k?
1. 7.5
2. 13
3. 17
4. 30 ✓
📖 math_quiz4_4_slope_and_rate_of_change
What is the slope of the line passing through points (2, 5) and (6, 13)?
1. 8
2. 4
3. 2 ✓
4. 1/2
A line passes through (-3, 7) and (1, -1). What is its slope?
1. 2
2. -2 ✓
3. 1/2
4. -1/2
Which type of slope does a line have if it rises from left to right?
1. Negative
2. Positive ✓
3. Zero
4. Undefined
A car travels 300 km in 5 hours. What is the rate (slope) in km/h?
1. 50
2. 75
3. 70
4. 60 ✓
Lines with the same slope are:
1. Perpendicular
2. Intersecting at origin
3. Parallel ✓
4. Horizontal
If a line has slope 3, what is the slope of a line perpendicular to it?
1. -1/3 ✓
2. -3
3. 1/3
4. 3
What is the slope of a horizontal line?
1. 0 ✓
2. -1
3. 1
4. Undefined
A temperature rises from 10°C at 8 AM to 22°C at 2 PM (6 hours). What is the rate of change per hour?
1. 1°C/hr
2. 2°C/hr ✓
3. 3°C/hr
4. 4°C/hr
Which statement about slope is FALSE?
1. Slope measures steepness of a line
2. Slope can be negative
3. Vertical lines have slope 0 ✓
4. Slope represents rate of change
A line has slope -2/5. For every 5 units moved to the right, how does y change?
1. Increases by 2
2. Decreases by 5
3. Increases by 5
4. Decreases by 2 ✓
Find the slope between (1, 3) and (5, 11)
1. 3
2. 2 ✓
3. 4
4. 8
A car travels 150 km in 3 hours. What is the rate (slope)?
1. 150 km/h
2. 100 km/h
3. 50 km/h ✓
4. 450 km/h
Which slope is steepest?
1. m = -5 ✓
2. m = 2
3. m = 0.5
4. m = 3
The slope between (2, y) and (6, 10) is 3. Find y.
1. 2
2. 0
3. -2 ✓
4. 1
Temperature rises from 10°C to 30°C in 4 hours. What is the rate of change?
1. 2.5°C/hr
2. 20°C/hr
3. 10°C/hr
4. 5°C/hr ✓
Lines with slopes 4 and -1/4 are:
1. Parallel
2. Neither
3. Perpendicular ✓
4. Same line
A line has negative slope. Which statement is true?
1. As x increases, y decreases ✓
2. As x increases, y increases
3. y never changes
4. x never changes
What is the slope of a vertical line?
1. 0
2. 1
3. Infinite
4. Undefined ✓
Population grows from 2000 to 2500 in 5 years. What is the annual growth rate?
1. 100 people/year ✓
2. 250 people/year
3. 500 people/year
4. 2500 people/year
The slope between (a, 5) and (a+3, 11) is:
1. Cannot determine without a
2. 3
3. 6
4. 2 ✓
Which scenario represents zero slope?
1. Car accelerating
2. Temperature constant ✓
3. Price increasing
4. Height decreasing
Two parallel lines have slopes m1 and m2. Which is true?
1. m1 × m2 = -1
2. m1 = m2 ✓
3. m1 + m2 = 0
4. m1 = -m2
A plane descends from 10,000 m to 2,000 m in 20 minutes. What is the rate?
1. -400 m/min ✓
2. -200 m/min
3. 400 m/min
4. 200 m/min
If a line passes through (0, b) and (1, b+m), what is its slope?
1. m ✓
2. b
3. 1
4. b+m
A road has a grade of 8%. What does this mean for slope?
1. Slope = 8
2. Slope = 0.8
3. Slope = 1/8
4. Slope = 0.08 ✓
📖 math_quiz4_3_graphing_linear_functions
What is the first step in graphing y = 2x + 3 using the slope-intercept method?
1. Find the x-intercept
2. Calculate the slope
3. Plot the point (0, 3) ✓
4. Make a table of values
For the line y = -4x + 1, starting from the y-intercept, which direction should you move to plot the next point?
1. Up 4, right 1
2. Down 4, right 1 ✓
3. Up 1, right 4
4. Down 1, right 4
What is the y-intercept of the line passing through (0, -5) and (2, 3)?
1. 0
2. -5 ✓
3. 2
4. 3
To graph 3x + 2y = 6 using intercepts, what is the x-intercept?
1. (0, 3)
2. (3, 0)
3. (6, 0)
4. (2, 0) ✓
Which equation represents a horizontal line?
1. x = 4
2. y = 4x
3. y = 4 ✓
4. x + y = 4
A line has slope 1/3 and y-intercept -2. After plotting (0, -2), where is the next point?
1. (3, -1) ✓
2. (1, -1)
3. (1, -5)
4. (3, 1)
What is the x-intercept of y = 5x - 10?
1. (2, 0) ✓
2. (-2, 0)
3. (0, -10)
4. (10, 0)
Which line is NOT a function?
1. y = 2x + 1
2. x = 5 ✓
3. y = -3
4. y = 0
A line passes through (0, 6) and (3, 0). What is its slope?
1. 2
2. 1/2
3. -2 ✓
4. -1/2
Water drains from a tank. Initially 400L, after 10 min 300L remains. What is the rate of drainage?
1. 10 L/min
2. -30 L/min
3. 30 L/min
4. -10 L/min ✓
To graph y = 2x - 1, which point is on the line?
1. (0, 1)
2. (0, -1) ✓
3. (1, 0)
4. (-1, 0)
A line passes through (1, 2) and (3, 6). What is the slope?
1. 1/2
2. 4
3. 2 ✓
4. 1
Which equation has a graph passing through the origin?
1. y = 3x ✓
2. y = x + 5
3. y = x - 2
4. y = 5
Where does the line 2x + y = 6 cross the y-axis?
1. (0, 3)
2. (3, 0)
3. (0, 6) ✓
4. (6, 0)
A line has intercepts at (4, 0) and (0, -2). What is its slope?
1. -2
2. -1/2
3. 2
4. 1/2 ✓
Which line is perpendicular to y = 2x + 3?
1. y = 2x - 5
2. y = -2x + 1
3. y = -0.5x + 4 ✓
4. y = 0.5x - 2
How many points do you need to draw a straight line?
1. At least 2 ✓
2. At least 1
3. At least 3
4. Infinite
A line slopes downward from left to right. Its slope is:
1. Positive
2. Undefined
3. Zero
4. Negative ✓
If a line has equation x = 5, what does its graph look like?
1. Vertical line ✓
2. Horizontal line
3. Diagonal line
4. No graph
What is the x-intercept of 3x - 2y = 12?
1. (-6, 0)
2. (0, -6)
3. (0, 4)
4. (4, 0) ✓
Two lines with slopes 3 and -1/3 are:
1. Parallel
2. Perpendicular ✓
3. Neither
4. Same line
Which point is NOT on the line y = 4x - 3?
1. (0, -3)
2. (3, 8) ✓
3. (2, 5)
4. (1, 1)
A line with equation y = -x + 5 passes through which quadrants?
1. I, II, IV ✓
2. I, II, III
3. II, III, IV
4. I, III, IV
If you move 3 units right and 6 units up from (1, 2), what is the slope of this movement?
1. 2 ✓
2. 1/2
3. 3
4. 6
What transformation changes y = 2x to y = 2x + 4?
1. Shift left 4
2. Shift right 4
3. Shift down 4
4. Shift up 4 ✓
📖 math_quiz4_2_linear_functions
What is the slope of the linear function y = 5x - 3?
1. 2
2. -3
3. 5 ✓
4. 8
What is the y-intercept of f(x) = -2x + 7?
1. -2
2. 7 ✓
3. 2
4. -7
If f(x) = 4x - 5, what is f(3)?
1. 12
2. 7 ✓
3. 17
4. -17
Which of the following represents a linear function with a negative slope?
1. y = 3x + 2
2. y = x² - 2
3. y = 5
4. y = -4x + 1 ✓
Write the linear function with slope 6 and y-intercept -4.
1. y = -4x + 6
2. y = 6x + 4
3. y = 6x - 4 ✓
4. y = -6x + 4
A line passes through (0, 8). What is the y-intercept?
1. 8 ✓
2. 0
3. Cannot determine
4. Depends on the slope
If g(x) = -3x + 12, for what value of x is g(x) = 0?
1. 4 ✓
2. 3
3. -4
4. 12
A taxi charges $4 base fare plus $2 per kilometer. Which function represents the cost C(k)?
1. C(k) = 4k + 2
2. C(k) = 2k + 4 ✓
3. C(k) = 6k
4. C(k) = 4 + 2
Which linear function has a slope of zero?
1. y = 0
2. x = 3
3. y = 5 ✓
4. y = x
Given the table with (0,3), (1,7), (2,11), what is the linear function?
1. f(x) = 4x - 3
2. f(x) = 3x + 4
3. f(x) = 7x + 3
4. f(x) = 4x + 3 ✓
A line has equation y = -3x + 7. What is the y-intercept?
1. 3
2. 7 ✓
3. -3
4. -7
What is the slope of y = 4 - 2x?
1. 4
2. 2
3. -2 ✓
4. -4
Which function has a negative slope?
1. y = -x + 5 ✓
2. y = 3x + 1
3. y = 5
4. y = x
If f(x) = 2x + 3, what is f(5)?
1. 8
2. 10
3. 13 ✓
4. 11
A line passes through (0, 4) with slope 3. What is its equation?
1. y = x + 7
2. y = 4x + 3
3. y = 3x - 4
4. y = 3x + 4 ✓
What is the slope of a horizontal line?
1. 1
2. -1
3. 0 ✓
4. Undefined
Which line is steeper: y = 5x + 1 or y = 2x + 1?
1. y = 5x + 1 ✓
2. y = 2x + 1
3. Same steepness
4. Cannot determine
If g(x) = -x + 10, find g(10)?
1. 20
2. 10
3. -10
4. 0 ✓
What is the x-intercept of y = 3x - 9?
1. (3, 0) ✓
2. (0, -9)
3. (-3, 0)
4. (9, 0)
Two lines are parallel if they have:?
1. Same y-intercept
2. Same equation
3. Same x-intercept
4. Same slope ✓
Which equation represents a decreasing function?
1. y = 5x
2. y = -2x + 1 ✓
3. y = x + 3
4. y = 8
If h(x) = 3x - 6, for what x is h(x) = 0?
1. x = 0
2. x = 2 ✓
3. x = 3
4. x = 6
A line has slope 0.5 and passes through (2, 3). What is y when x = 6?
1. 5 ✓
2. 4
3. 3
4. 6
What does the slope represent in a distance-time graph?
1. Speed ✓
2. Time
3. Distance
4. Acceleration
Which function has the same slope as y = 4x - 1?
1. y = 2x - 1
2. y = -4x + 1
3. y = 4 + x
4. y = 4x + 5 ✓
📖 math_quiz4_1_introduction_to_functions
Which of the following relations is a function?
1. {(1,1), (2,1), (2,2)}
2. {(1,2), (1,3), (2,4)}
3. {(1,2), (2,3), (3,4)} ✓
4. {(0,1), (0,2), (1,3)}
What is the domain of the function {(2,5), (3,7), (4,9), (5,11)}?
1. {5, 7, 9, 11}
2. {2, 3, 4, 5} ✓
3. {2, 3, 4, 5, 7, 9, 11}
4. {x | x > 2}
If f(x) = 3x - 5, what is f(4)?
1. 12
2. 7 ✓
3. 17
4. -17
Which statement is true about functions?
1. Each input can have multiple outputs
2. Each output must have exactly one input
3. Inputs and outputs must be different numbers
4. Each input must have exactly one output ✓
What is the range of {(1,3), (2,3), (3,5), (4,7)}?
1. {1, 2, 3, 4}
2. {1, 2, 3, 4, 5, 7}
3. {3, 5, 7} ✓
4. {3, 3, 5, 7}
If g(x) = x² - 4, what is g(-3)?
1. 5 ✓
2. -7
3. -13
4. 13
A taxi charges $2.50 plus $0.75 per kilometer. Which function represents the cost C(k) for k kilometers?
1. C(k) = 0.75k + 2.50 ✓
2. C(k) = 2.50k + 0.75
3. C(k) = 2.50 + 0.75 + k
4. C(k) = (2.50 + 0.75)k
Which of the following is NOT a function?
1. y = 2x + 1
2. x = y² ✓
3. y = x²
4. y = |x|
If h(x) = 2x + 7, and h(a) = 15, what is the value of a?
1. 11
2. 8
3. 4 ✓
4. 22
The area of a square is given by A(s) = s², where s is the side length. What is A(6)?
1. 12
2. 24
3. 72
4. 36 ✓
Does the relation {(3,2), (4,2), (5,3)} represent a function?
1. No
2. Yes ✓
3. Cannot determine
4. Need more information
Which mapping diagram shows a function?
1. One-to-many
2. Many-to-many
3. Many-to-one ✓
4. All of the above
If f(x) = 5 - 2x, what is f(0)?
1. 5 ✓
2. -5
3. 0
4. 3
What is the domain of f(x) = 2x + 3 for all real numbers?
1. x ≥ 0
2. x > 0
3. All real numbers ✓
4. x ≠ 0
If h(x) = x/4, what is h(12)?
1. 48
2. 4
3. 8
4. 3 ✓
Which set represents the range of {(-1,4), (0,4), (1,5), (2,6)}?
1. {-1, 0, 1, 2}
2. {-1, 0, 1, 2, 4, 5, 6}
3. {4, 5, 6} ✓
4. {4, 4, 5, 6}
If f(x) = x² + 1, what is f(-2)?
1. 5 ✓
2. 3
3. -3
4. -5
A function rule is "multiply by 3 and add 2". What is the output for input 5?
1. 13
2. 15
3. 19
4. 17 ✓
Which vertical line test result indicates a function?
1. Both B and C ✓
2. Line crosses graph once
3. Line never crosses
4. Line crosses graph twice
If g(x) = 10 - x, for what value of x is g(x) = 3?
1. 3
2. 13
3. -7
4. 7 ✓
The perimeter of a square is P(s) = 4s. What is P(9)?
1. 13
2. 36 ✓
3. 18
4. 81
Which relation is NOT a function?
1. y = x + 5
2. x² + y² = 25 ✓
3. y = x²
4. y = |x|
If f(x) = 3x and g(x) = x + 4, what is f(2) + g(2)?
1. 12 ✓
2. 10
3. 8
4. 2
The cost of t-shirts is C(n) = 12n. How much for 5 t-shirts?
1. $60 ✓
2. $17
3. $12
4. $120
What is the independent variable in distance = speed × time?
1. Distance
2. Speed
3. Time
4. Both speed and time ✓
📖 math_quiz3_8_geometric_transformations
A transformation that slides a shape is called:
1. Rotation
2. Reflection
3. Translation ✓
4. Dilation
A transformation that flips a shape over a line is called:
1. Translation
2. Reflection ✓
3. Rotation
4. Dilation
A transformation that turns a shape around a point is called:
1. Translation
2. Rotation ✓
3. Reflection
4. Dilation
A transformation that changes the size of a shape is called:
1. Translation
2. Reflection
3. Rotation
4. Dilation ✓
Translate (3, 5) by vector (2, -3):?
1. (1, 8)
2. (6, 8)
3. (5, 2) ✓
4. (5, 8)
Reflect (4, 7) over the x-axis:
1. (4, -7) ✓
2. (-4, 7)
3. (-4, -7)
4. (7, 4)
Reflect (6, 2) over the y-axis:
1. (-6, 2) ✓
2. (6, -2)
3. (-6, -2)
4. (2, 6)
Reflect (3, 5) over the line y=x:?
1. (-3, 5)
2. (5, 3) ✓
3. (3, -5)
4. (-5, -3)
Rotate (4, 2) by 90° counterclockwise about origin:?
1. (-4, -2)
2. (2, -4)
3. (-2, 4) ✓
4. (4, -2)
Rotate (5, 3) by 180° about origin:?
1. (-5, 3)
2. (-3, 5)
3. (5, -3)
4. (-5, -3) ✓
Dilate (3, 6) by scale factor 2 from origin:?
1. (5, 8)
2. (6, 12) ✓
3. (1.5, 3)
4. (6, 8)
Which transformation preserves both size and orientation?
1. Rotation
2. Reflection
3. Translation ✓
4. Dilation
Which transformation does NOT preserve size?
1. Dilation ✓
2. Reflection
3. Rotation
4. Translation
Two shapes with same size and shape are:
1. Symmetric
2. Similar
3. Congruent ✓
4. Parallel
Two shapes with same shape but different size are:
1. Congruent
2. Parallel
3. Symmetric
4. Similar ✓
How many lines of symmetry does a square have?
1. 2
2. 3
3. 4 ✓
4. 5
How many lines of symmetry does an equilateral triangle have?
1. 3 ✓
2. 2
3. 1
4. Infinite
The order of rotational symmetry of a square is:
1. 2
2. 3
3. 8
4. 4 ✓
Two similar triangles have sides 3, 4, 5 and 6, 8, 10. The scale factor is:
1. 2 ✓
2. 1/2
3. 3
4. 4
A shape is dilated by scale factor 3. The area is multiplied by:
1. 3
2. 6
3. 27
4. 9 ✓
Point (2, 3) is reflected over x-axis then translated by (1, 2). Final position?
1. (3, 1)
2. (3, -1) ✓
3. (3, 5)
4. (1, -1)
Which has infinite lines of symmetry?
1. Square
2. Circle ✓
3. Triangle
4. Rectangle
A rectangle has rotational symmetry of order:?
1. 2 ✓
2. 1
3. 3
4. 4
Rotate (3, 0) by 270° CCW (or 90° CW) about origin:?
1. (0, -3) ✓
2. (0, 3)
3. (-3, 0)
4. (3, 0)
Two similar shapes have perimeter ratio 2:3. Area ratio is:
1. 2:3
2. 4:6
3. 8:27
4. 4:9 ✓
📖 math_quiz3_7_volume_of_3d_shapes
What is volume?
1. Area of outer faces
2. Perimeter of shape
3. Space occupied by 3D shape ✓
4. Surface area
What units is volume measured in?
1. Linear units
2. Cubic units ✓
3. Square units
4. Degrees
What is the volume formula for a cube?
1. V = 4s³
2. V = s³ ✓
3. V = 6s²
4. V = 3s
Find the volume of a cube with side 5 cm
1. 25 cm³
2. 75 cm³
3. 150 cm³
4. 125 cm³ ✓
What is the volume formula for a rectangular prism?
1. V = 2(lw + lh + wh)
2. V = lw + h
3. V = lwh ✓
4. V = l + w + h
Find volume of box: 10×6×4 cm
1. 240 cm³ ✓
2. 120 cm³
3. 248 cm³
4. 480 cm³
What is the volume formula for a cylinder?
1. V = πr²h ✓
2. V = 2πr²h
3. V = πrh
4. V = 2πrh
A cylinder has r=7 cm, h=10 cm. Find V. (Use π ≈ 22/7)
1. 154 cm³
2. 1540 cm³ ✓
3. 770 cm³
4. 3080 cm³
How does the volume of a pyramid compare to a prism?
1. Same as prism
2. Half of prism
3. One-third of prism ✓
4. Twice the prism
What is the volume formula for a pyramid?
1. V = Bh
2. V = 2Bh
3. V = 1/2Bh
4. V = 1/3Bh ✓
A square pyramid has base 6 cm, height 9 cm. Find V:
1. 54 cm³
2. 108 cm³ ✓
3. 162 cm³
4. 324 cm³
What is the volume formula for a cone?
1. V = πr²h
2. V = 2πr²h
3. V = (1/3)πr²h ✓
4. V = πr²
A cone has r=5 cm, h=12 cm. Find V. (π≈3.14)
1. 314 cm³ ✓
2. 188.4 cm³
3. 94.2 cm³
4. 628 cm³
What is the volume formula for a sphere?
1. V = 2πr³
2. V = 3πr³
3. V = (4/3)πr³ ✓
4. V = (1/3)πr³
A sphere has radius 6 cm. Find V. (Use π ≈ 3.14)
1. 452.16 cm³
2. 678.24 cm³
3. 1130.4 cm³
4. 904.32 cm³ ✓
How many cm³ are in 1 liter?
1. 10
2. 100
3. 1,000 ✓
4. 10,000
How many liters are in 1 m³?
1. 1,000 L ✓
2. 100 L
3. 10 L
4. 10,000 L
A cube has volume 343 cm³. Find the side:
1. 6 cm
2. 9 cm
3. 8 cm
4. 7 cm ✓
A tank is 50×40×30 cm. How many liters can it hold?
1. 60 L ✓
2. 6 L
3. 600 L
4. 6000 L
A cylinder and cone have same r=3 cm, h=9 cm. How does the cylinder volume compare to the cone?
1. Same as cone
2. Twice the cone
3. Four times cone
4. Three times cone ✓
A triangular prism has base (3-4-5 right triangle), height 12 cm. Find V:
1. 36 cm³
2. 72 cm³ ✓
3. 60 cm³
4. 144 cm³
What is the general formula for prism volume?
1. V = 1/3h
2. V = Bh ✓
3. V = 2Bh
4. V = 1/2Bh
A cylinder has V = 1000π cm³, r = 5 cm. Find h:
1. 40 cm ✓
2. 30 cm
3. 20 cm
4. 50 cm
A sphere fits in a cube (side 10 cm). Space between them? (Use π ≈ 3.14)
1. 476.67 cm³ ✓
2. 523.33 cm³
3. 1000 cm³
4. 1523.33 cm³
A swimming pool is 25m×10m×2m. How many liters?
1. 5,000 L
2. 50,000 L
3. 5,000,000 L
4. 500,000 L ✓
📖 math_quiz3_6_surface_area
Surface area is:
1. Volume of a 3D shape
2. Perimeter of a shape
3. Total area of outer faces ✓
4. Weight of a shape
Surface area is measured in:
1. Linear units
2. Square units ✓
3. Cubic units
4. Degrees
A flat pattern of a 3D shape is called a:
1. Surface
2. Net ✓
3. Volume
4. Base
The surface area formula for a cube is:
1. SA = 4s²
2. SA = 8s²
3. SA = s³
4. SA = 6s² ✓
Find the surface area of a cube with side 5 cm
1. 100 cm²
2. 125 cm²
3. 150 cm² ✓
4. 175 cm²
The surface area formula for a rectangular prism is:
1. SA = 2(lw + lh + wh) ✓
2. SA = 2(l + w + h)
3. SA = lwh
4. SA = 6lwh
Find SA of a box: 10×6×4 cm
1. 248 cm² ✓
2. 240 cm²
3. 120 cm²
4. 256 cm²
The surface area formula for a cylinder is:
1. SA = 2πr²
2. SA = 2πr² + 2πrh ✓
3. SA = πr²h
4. SA = πr² + πrh
A cylinder has r=3 cm, h=7 cm. Find SA. (Use π ≈ 22/7)
1. 132 cm²
2. 264 cm²
3. 188.57 cm² ✓
4. 396 cm²
The surface area formula for a sphere is:
1. SA = 2πr²
2. SA = 3πr²
3. SA = πr³
4. SA = 4πr² ✓
A sphere has radius 7 cm. Find SA. (Use π ≈ 22/7)
1. 154 cm²
2. 616 cm² ✓
3. 462 cm²
4. 308 cm²
The surface area formula for a cone is:
1. SA = πr²
2. SA = πrl
3. SA = πr² + πrl ✓
4. SA = 2πr² + πrl
A cone has r=6 cm, slant height=10 cm. Find SA. (Use π ≈ 3.14)
1. 301.44 cm² ✓
2. 188.4 cm²
3. 376.8 cm²
4. 602.88 cm²
The slant height of a pyramid or cone is:
1. Same as vertical height
2. The base dimension
3. Diagonal on the surface ✓
4. The radius
A square pyramid has base side 8 cm, slant height 6 cm. Find SA:
1. 96 cm²
2. 112 cm²
3. 192 cm²
4. 160 cm² ✓
A prism has two:
1. Curved surfaces
2. Triangular faces
3. Identical parallel bases ✓
4. Vertices only
A cone has r=5, h=12. Find slant height:
1. 13 ✓
2. 15
3. 17
4. 20
Which 3D shape has NO flat faces?
1. Cube
2. Cylinder
3. Cone
4. Sphere ✓
A ball has diameter 24 cm. Find SA. (Use π ≈ 3.14)
1. 1808.64 cm² ✓
2. 904.32 cm²
3. 452.16 cm²
4. 3617.28 cm²
A cube has SA = 294 cm². Find one edge:
1. 6 cm
2. 9 cm
3. 8 cm
4. 7 cm ✓
The lateral surface of a prism refers to:?
1. The two bases
2. The side faces ✓
3. All faces
4. The volume
A triangular prism SA formula is:
1. SA = Bh
2. SA = 2B + Ph ✓
3. SA = 1/2Bh
4. SA = 3B
How many faces does a rectangular prism have?
1. 6 ✓
2. 5
3. 4
4. 8
A pyramid has:
1. One base and triangular faces ✓
2. Two parallel bases
3. All curved surfaces
4. No apex
If a cylinder and sphere have same radius 5 cm and same SA, the cylinder height is:
1. 2.5 cm
2. 10 cm
3. 7.5 cm
4. 5 cm ✓
📖 math_quiz3_5_perimeter_and_area
Perimeter is:
1. Space inside a shape
2. Volume of a shape
3. Distance around a shape ✓
4. Weight of a shape
Area is measured in:
1. Linear units (cm, m)
2. Square units (cm², m²) ✓
3. Cubic units (cm³, m³)
4. Degrees
The perimeter of a rectangle with length 8 cm and width 5 cm is:
1. 13 cm
2. 26 cm ✓
3. 40 cm
4. 65 cm
The area of a rectangle with length 10 m and width 6 m is:
1. 16 m²
2. 32 m²
3. 100 m²
4. 60 m² ✓
The perimeter of a square with side 7 cm is:
1. 14 cm
2. 21 cm
3. 28 cm ✓
4. 49 cm
The area of a square with side 9 cm is:
1. 81 cm² ✓
2. 72 cm²
3. 36 cm²
4. 90 cm²
The area of a triangle with base 12 cm and height 8 cm is:
1. 48 cm² ✓
2. 20 cm²
3. 96 cm²
4. 120 cm²
The area formula for a parallelogram is:
1. A = 1/2bh
2. A = bh ✓
3. A = b²
4. A = 2bh
The area of a trapezoid with bases 10 cm and 6 cm, height 4 cm is:
1. 16 cm²
2. 24 cm²
3. 32 cm² ✓
4. 64 cm²
The area of a rhombus with diagonals 8 cm and 10 cm is:
1. 18 cm²
2. 160 cm²
3. 80 cm²
4. 40 cm² ✓
How many cm² are in 1 m²?
1. 100
2. 10,000 ✓
3. 1,000
4. 100,000
Convert 3 m² to cm²
1. 300 cm²
2. 3,000 cm²
3. 30,000 cm² ✓
4. 300,000 cm²
A square has perimeter 40 cm. Its area is:
1. 100 cm² ✓
2. 40 cm²
3. 80 cm²
4. 10 cm²
A circle has radius 7 cm. Its circumference is: (Use π ≈ 22/7)
1. 22 cm
2. 88 cm
3. 44 cm ✓
4. 154 cm
A circle has diameter 10 m. Its area is: (Use π ≈ 3.14)
1. 31.4 m²
2. 314 m²
3. 157 m²
4. 78.5 m² ✓
To find the area of a composite shape, you should:
1. Guess the total
2. Add all side lengths
3. Break into simpler parts ✓
4. Multiply all dimensions
A shape has a rectangle (10×6) and triangle (base 10, height 4) on top. Total area?
1. 80 cm² ✓
2. 60 cm²
3. 100 cm²
4. 120 cm²
A rectangle 20×10 cm has a semicircle (d=10) removed. What is the remaining area? (π≈3.14)
1. 163.75 cm²
2. 161.75 cm²
3. 162.75 cm²
4. 160.75 cm² ✓
A room is 5 m × 4 m. Tiles cost $15/m². Total cost?
1. $300 ✓
2. $150
3. $200
4. $75
A garden is 12 m × 8 m. Fencing costs $25/m. Total cost for fencing?
1. $400
2. $500
3. $600
4. $1000 ✓
The area formula for a triangle is:
1. A = bh
2. A = 1/2bh ✓
3. A = 2bh
4. A = b²h
Convert 5000 cm² to m²
1. 5 m²
2. 0.5 m² ✓
3. 50 m²
4. 500 m²
A parallelogram has base 18 cm and height 7 cm. Its area is:
1. 126 cm² ✓
2. 50 cm²
3. 25 cm²
4. 252 cm²
A square and rectangle have same perimeter 40 cm. Rectangle is 12×8. Which has greater area?
1. Square ✓
2. Rectangle
3. Same
4. Cannot determine
The perimeter of a triangle with sides 5, 12, 13 cm is:
1. 20 cm
2. 25 cm
3. 35 cm
4. 30 cm ✓
📖 math_quiz3_4_circles_and_their_properties
A circle is defined as:?
1. A round shape
2. A curved line
3. Set of points equidistant from center ✓
4. A polygon
The diameter of a circle is:
1. Half the radius
2. Twice the radius ✓
3. Equal to the radius
4. Unrelated to radius
A line segment from the center to a point on the circle is called:
1. Diameter
2. Radius ✓
3. Chord
4. Tangent
The longest chord of a circle is the:?
1. Radius
2. Tangent
3. Arc
4. Diameter ✓
A line that touches a circle at exactly one point is called a:
1. Chord
2. Secant
3. Tangent ✓
4. Diameter
The circumference formula is:
1. C = 2πr ✓
2. C = πr
3. C = πr²
4. C = 2πr²
The area formula for a circle is:
1. A = πr² ✓
2. A = πr
3. A = 2πr
4. A = 2πr²
Find the circumference of a circle with radius 7 cm. (Use π ≈ 22/7)
1. 22 cm
2. 44 cm ✓
3. 88 cm
4. 154 cm
Find the area of a circle with radius 10 cm. (Use π ≈ 3.14)
1. 31.4 cm²
2. 62.8 cm²
3. 314 cm² ✓
4. 628 cm²
A circle has diameter 14 m. Find its circumference. (Use π ≈ 22/7)
1. 22 m
2. 154 m
3. 88 m
4. 44 m ✓
A tangent to a circle is:
1. Parallel to radius
2. Perpendicular to radius at contact point ✓
3. Equal to radius
4. Half the radius
The arc length formula (angle θ in degrees) is:
1. θ/360 × πr
2. θ/180 × πr
3. θ/360 × 2πr ✓
4. θ/180 × 2πr
Find the arc length for 60° in a circle with radius 9 cm. (Use π ≈ 3.14)
1. 3π cm ✓
2. 6π cm
3. 9π cm
4. 12π cm
The area of a sector formula (angle θ in degrees) is:
1. θ/360 × πr
2. θ/180 × πr
3. θ/360 × πr² ✓
4. θ/180 × πr²
Find the sector area for 90° in a circle with radius 8 cm. (Use π ≈ 3.14)
1. 64π cm²
2. 32π cm²
3. 50.24 cm²
4. 16π cm² ✓
An inscribed angle is:
1. Twice the central angle
2. Equal to central angle
3. Half the central angle ✓
4. Unrelated to central angle
If a central angle is 80°, the inscribed angle (same arc) is:
1. 40° ✓
2. 80°
3. 120°
4. 160°
An angle inscribed in a semicircle is always:?
1. 45°
2. 60°
3. 180°
4. 90° ✓
If the circumference is 44 cm, find the radius. (Use π ≈ 22/7)
1. 7 cm ✓
2. 5 cm
3. 9 cm
4. 11 cm
If the area is 154 cm², find the radius. (Use π ≈ 22/7)
1. 5 cm
2. 11 cm
3. 9 cm
4. 7 cm ✓
Two tangents from external point P to a circle are:
1. Unequal
2. Equal ✓
3. Parallel
4. Perpendicular
A chord is 16 cm long and 6 cm from center. Find the radius.
1. 8 cm
2. 10 cm ✓
3. 12 cm
4. 14 cm
A perpendicular from center to a chord:?
1. Bisects the chord ✓
2. Doubles the chord
3. Has no special property
4. Is parallel to chord
The value of π is approximately:?
1. 3.14 ✓
2. 2.14
3. 4.14
4. 5.14
A sector looks like:?
1. A rectangle
2. A triangle
3. A square
4. A pizza slice ✓
📖 math_quiz3_3_quadrilaterals_and_polygons
A polygon is a closed figure made of:
1. Curved lines
2. Both curves and lines
3. Straight line segments ✓
4. Circles
How many sides does a hexagon have?
1. 5
2. 6 ✓
3. 7
4. 8
What is the sum of interior angles of a quadrilateral?
1. 180°
2. 360° ✓
3. 270°
4. 540°
What is the sum of interior angles of a pentagon?
1. 360°
2. 450°
3. 720°
4. 540° ✓
The sum of exterior angles of any convex polygon is:
1. 180°
2. 270°
3. 360° ✓
4. Depends on sides
A regular polygon has:
1. Both sides and angles equal ✓
2. All angles equal
3. All sides equal
4. No equal sides
Each exterior angle of a regular hexagon is:
1. 60° ✓
2. 45°
3. 90°
4. 120°
A parallelogram has:
1. One pair of parallel sides
2. Two pairs of parallel sides ✓
3. No parallel sides
4. All sides equal
In a parallelogram, opposite angles are:
1. Complementary
2. Supplementary
3. Equal ✓
4. Perpendicular
A rectangle is a parallelogram with:
1. All sides equal
2. One right angle
3. Perpendicular diagonals
4. Four right angles ✓
In a rectangle, the diagonals are:
1. Equal and perpendicular
2. Equal and bisect each other ✓
3. Unequal
4. Perpendicular only
A square is:
1. A rectangle only
2. A rhombus only
3. Both rectangle and rhombus ✓
4. Neither rectangle nor rhombus
The diagonal of a square with side 6 cm is:
1. 6√2 cm ✓
2. 6 cm
3. 12 cm
4. 6√3 cm
A rhombus has:
1. Both equal sides and right angles
2. Four right angles
3. All sides equal ✓
4. No special properties
In a rhombus, the diagonals are:
1. Equal
2. Equal and parallel
3. Parallel
4. Perpendicular ✓
A trapezoid has:
1. All sides parallel
2. Two pairs of parallel sides
3. Exactly one pair of parallel sides ✓
4. No parallel sides
The area of a trapezoid with bases 8 cm and 12 cm, height 5 cm is:
1. 50 cm² ✓
2. 40 cm²
3. 60 cm²
4. 100 cm²
If each interior angle of a regular polygon is 120°, how many sides does it have?
1. 5
2. 8
3. 7
4. 6 ✓
Find the sum of interior angles of an octagon
1. 1080° ✓
2. 900°
3. 720°
4. 1260°
A rectangle has length 8 cm and width 6 cm. Find the diagonal.
1. 16 cm
2. 12 cm
3. 14 cm
4. 10 cm ✓
In a parallelogram, one angle is 75°. Find the adjacent angle.
1. 75°
2. 105° ✓
3. 90°
4. 150°
The area of a rhombus with diagonals 8 cm and 10 cm is:
1. 50 cm²
2. 40 cm² ✓
3. 80 cm²
4. 100 cm²
A kite has:
1. Two pairs of adjacent sides equal ✓
2. Two pairs of parallel sides
3. All sides equal
4. All angles equal
Each interior angle of a regular decagon (10 sides) is:
1. 144° ✓
2. 135°
3. 120°
4. 150°
Which quadrilateral MUST have perpendicular diagonals?
1. Rectangle
2. Parallelogram
3. Trapezoid
4. Rhombus ✓
📖 math_quiz3_2_angles_and_triangles
What is the sum of the interior angles of any triangle?
1. 90°
2. 270°
3. 180° ✓
4. 360°
In triangle ABC, if angle A = 60° and angle B = 70°, what is angle C?
1. 40°
2. 50° ✓
3. 60°
4. 70°
A triangle with all three sides equal is called:
1. Isosceles
2. Equilateral ✓
3. Scalene
4. Right
A triangle with two sides equal is called:
1. Right
2. Equilateral
3. Scalene
4. Isosceles ✓
In an equilateral triangle, each angle measures:
1. 30°
2. 45°
3. 60° ✓
4. 90°
A triangle with all angles less than 90° is called:
1. Acute ✓
2. Right
3. Obtuse
4. Equilateral
A triangle with one angle equal to 90° is called:
1. Right ✓
2. Acute
3. Obtuse
4. Straight
In a right triangle, the longest side is called the:
1. Leg
2. Hypotenuse ✓
3. Base
4. Altitude
What is the Pythagorean theorem?
1. a + b = c
2. a × b = c
3. a² + b² = c² ✓
4. a² + b = c²
In a right triangle with legs 3 and 4, what is the hypotenuse?
1. 8
2. 6
3. 7
4. 5 ✓
In a right triangle, if the hypotenuse is 13 and one leg is 5, what is the other leg?
1. 8
2. 12 ✓
3. 10
4. 14
Which set of numbers forms a Pythagorean triple?
1. (2, 3, 4)
2. (4, 5, 6)
3. (3, 4, 5) ✓
4. (5, 6, 7)
In an isosceles triangle, the vertex angle is 40°. What is each base angle?
1. 70° ✓
2. 60°
3. 40°
4. 80°
The exterior angle of a triangle equals:
1. One interior angle
2. Two non-adjacent interior angles ✓
3. Two adjacent interior angles
4. All three interior angles
In triangle DEF, angle D = 50° and angle E = 60°. What is the exterior angle at F?
1. 70°
2. 130°
3. 120°
4. 110° ✓
Can sides 3, 4, and 8 form a triangle?
1. Yes
2. Only if it is right
3. No ✓
4. Only if it is obtuse
In a 45°-45°-90° triangle, if each leg is 5, what is the hypotenuse?
1. 5√2 ✓
2. 5
3. 10
4. 5√3
In a 30°-60°-90° triangle, if the shortest side is 4, what is the hypotenuse?
1. 4
2. 4√3
3. 6
4. 8 ✓
What is the ratio of sides in a 30°-60°-90° triangle?
1. 1 : √3 : 2 ✓
2. 1 : 1 : √2
3. 1 : 2 : 3
4. 1 : √2 : 2
Is a triangle with sides 5, 12, and 13 a right triangle?
1. Only if angles are given
2. No
3. Cannot determine
4. Yes ✓
In an isosceles triangle, what property do the base angles have?
1. They are complementary
2. They are equal ✓
3. They are supplementary
4. They are perpendicular
A triangle has angles 30°, 60°, and 90°. It is classified as:?
1. Acute
2. Right ✓
3. Obtuse
4. Equilateral
In triangle ABC, angle A = 2x, angle B = 3x, angle C = 4x. Find x.
1. 20° ✓
2. 15°
3. 10°
4. 30°
A ladder 10 m long leans against a wall. The base is 6 m from the wall. How high does it reach?
1. 8 m ✓
2. 7 m
3. 6 m
4. 9 m
Which of these CANNOT be the angles of a triangle?
1. 30°, 60°, 90°
2. 45°, 45°, 90°
3. 50°, 60°, 70°
4. 40°, 50°, 100° ✓
📖 math_quiz3_1_basic_geometric_concepts
Which of the following has NO dimension?
1. Line
2. Plane
3. Point ✓
4. Line segment
What is the notation for a line passing through points A and B?
1. \\overline{AB}
2. \\overleftrightarrow{AB} ✓
3. \\overrightarrow{AB}
4. \\angle AB
A line segment has:
1. One endpoint
2. Two endpoints ✓
3. No endpoints
4. Infinite endpoints
Which angle measures exactly 90°?
1. Acute angle
2. Obtuse angle
3. Straight angle
4. Right angle ✓
An angle measuring 45° is called a(n):
1. Obtuse angle
2. Right angle
3. Acute angle ✓
4. Straight angle
Two angles are complementary if their sum is:
1. 90° ✓
2. 45°
3. 180°
4. 360°
Two angles are supplementary if their sum is:
1. 180° ✓
2. 90°
3. 45°
4. 360°
If angle A = 35°, what is its complement?
1. 35°
2. 55° ✓
3. 145°
4. 325°
If angle B = 120°, what is its supplement?
1. 30°
2. 120°
3. 60° ✓
4. 240°
Vertical angles are:
1. Never equal
2. Always complementary
3. Always supplementary
4. Always equal ✓
Which symbol represents parallel lines?
1. \\perp
2. \\parallel ✓
3. \\cong
4. \\sim
Which symbol represents perpendicular lines?
1. \\parallel
2. \\cong
3. \\perp ✓
4. \\angle
Perpendicular lines intersect at what angle?
1. 90° ✓
2. 60°
3. 45°
4. 180°
If line l has slope 2, what is the slope of a line perpendicular to l?
1. 2
2. -2
3. -1/2 ✓
4. 1/2
An obtuse angle measures:
1. Less than 90°
2. Exactly 90°
3. Exactly 180°
4. Between 90° and 180° ✓
A straight angle measures:
1. 90°
2. 270°
3. 180° ✓
4. 360°
A reflex angle measures:
1. Between 180° and 360° ✓
2. Between 90° and 180°
3. Between 0° and 90°
4. Exactly 360°
When a transversal crosses two parallel lines, corresponding angles are:
1. Unrelated
2. Supplementary
3. Complementary
4. Equal ✓
When a transversal crosses two parallel lines, alternate interior angles are:
1. Equal ✓
2. Supplementary
3. Complementary
4. Unrelated
When a transversal crosses two parallel lines, co-interior angles are:
1. Equal
2. Vertical
3. Complementary
4. Supplementary ✓
Find the distance between points A(0,0) and B(3,4)
1. 3
2. 5 ✓
3. 4
4. 7
Two angles are supplementary. One is 50°. Find the other.
1. 40°
2. 130° ✓
3. 50°
4. 140°
Adjacent angles must share:
1. Both vertex and side ✓
2. A common side only
3. A common vertex only
4. Neither vertex nor side
How many points determine a unique line?
1. Two ✓
2. One
3. Three
4. Four
Two angles are complementary. One angle is twice the other. Find the smaller angle.
1. 90°
2. 45°
3. 60°
4. 30° ✓
📖 math_quiz2_8_applications_of_inequalities
Books $12 each. Have $50. Buy 2 books. Max pens at $3 each?
1. 11
2. 10
3. 8 ✓
4. 9
Phone: $30 + $0.10/text. Budget $45. Max texts?
1. 450
2. 150 ✓
3. 100
4. 200
Travel 240 km in <= 4 hours. Minimum speed?
1. 50 km/h
2. 60 km/h ✓
3. 70 km/h
4. 40 km/h
Grades: 78, 85, 82. Need avg >= 80. Pass?
1. Not enough info
2. Maybe
3. No
4. Yes ✓
Scores: 75, 80, 85. Need >= 82 avg on 4 tests. Min 4th score?
1. 82
2. 85
3. 88 ✓
4. 90
Rectangle: length = width + 3. Perimeter < 50. Max width?
1. < 11 ✓
2. < 13
3. < 12
4. < 10
Garden 12m long. Area >= 60 m². Min width?
1. >= 5 m ✓
2. >= 7 m
3. >= 4 m
4. >= 6 m
Triangle sides 5 and 8 cm. Possible 3rd side range?
1. 5 < x < 8
2. 3 < x < 13 ✓
3. 3 < x < 5
4. 0 < x < 13
Water liquid: 0C to 100C. Range in Fahrenheit?
1. 0F to 212F
2. 32F to 100F
3. 32F to 212F ✓
4. 0F to 100F
Break-even: Sell at $15, cost $200 + $8 each. Min to profit?
1. >= 30
2. >= 27
3. >= 28
4. >= 29 ✓
Product buy $40, want >= 25% profit. Min sell price?
1. >= $60
2. >= $50 ✓
3. >= $55
4. >= $45
Earn $2000 + 5% commission. Want >= $3500. Min sales?
1. >= $25,000
2. >= $20,000
3. >= $30,000 ✓
4. >= $35,000
Vote: >= 18 years. President: >= 35. Can vote but not president?
1. 18 <= a < 35 ✓
2. 18 <= a <= 35
3. a >= 18
4. 18 < a < 35
Youth discount: 5-17. Senior: 65+. Full price range?
1. 5 <= a < 65
2. 18 <= a <= 65
3. 18 <= a < 65 ✓
4. 18 < a < 65
Rent car: A=$40/day, B=$30/day+$50 fee. For 5 days?
1. Cannot compare
2. A cheaper
3. B cheaper
4. Same cost ✓
From above, B cheaper when days > ?
1. 6
2. 7
3. 5 ✓
4. 4
What does 'At least 18' translate to?
1. a >= 18 ✓
2. a < 18
3. a > 18
4. a <= 18
What does 'At most $50' translate to?
1. m < 50
2. m >= 50
3. m > 50
4. m <= 50 ✓
30 min/assignment. Have 2.5 hours. Max assignments?
1. <= 5 ✓
2. <= 6
3. <= 7
4. <= 4
Triangle: perimeter < 50, one side = 2*shortest, another = shortest + 3. Max shortest?
1. < 12
2. < 15
3. < 10
4. < 11.75 ✓
Vaccine storage: 2C to 8C. Range in Fahrenheit?
1. 36F to 48F
2. 35.6F to 46.4F ✓
3. 34F to 44F
4. 32F to 46F
Reaction occurs at C > 150. Min in Fahrenheit?
1. > 300F
2. > 302F ✓
3. > 310F
4. > 290F
Salesperson: $1500 + 8% commission. Want $3000. Min sales?
1. >= $18,750 ✓
2. >= $25,000
3. >= $20,000
4. >= $15,000
Books $15. Have $100. Max books?
1. 6 ✓
2. 5
3. 7
4. 8
Speed limit: at least 45 mph, at most 70 mph. Which?
1. 45 < s < 70
2. 45 < s <= 70
3. s < 45 OR s > 70
4. 45 <= s <= 70 ✓
📖 math_quiz2_7_compound_inequalities
What is an AND compound inequality?
1. At least one condition true
2. No conditions true
3. Both conditions must be true ✓
4. Only first condition true
Graph: -2 < x < 4. How many regions are shaded?
1. 0
2. 1 ✓
3. 2
4. 3
Solve: -3 < 2x + 1 < 7
1. -1 < x < 4
2. -2 < x < 3 ✓
3. -4 < x < 6
4. 0 < x < 3
Which represents 'x is between 5 and 10'?
1. x < 5 OR x > 10
2. 5 <= x OR x <= 10
3. x <= 5 AND x >= 10
4. 5 < x < 10 ✓
Solve: 1 <= 3x - 5 <= 10
1. -4 <= x <= 5
2. 1 <= x <= 3
3. 2 <= x <= 5 ✓
4. 6 <= x <= 15
What is an OR compound inequality?
1. At least one condition true ✓
2. No conditions true
3. Both conditions true
4. Exactly one condition true
Graph: x < 2 OR x > 5. How many regions?
1. 2 ✓
2. 1
3. 0
4. 3
Solve: 2x + 3 < 5 OR x - 4 > 2
1. x < 4 OR x > 6
2. x < 1 OR x > 6 ✓
3. 1 < x < 6
4. x < 1 AND x > 6
Which has NO solution?
1. 2 < x < 5
2. x > 5 OR x < 3
3. x > 5 AND x < 3 ✓
4. x < 3 OR x > 5
Which equals ALL real numbers?
1. x < 5 AND x > 3
2. 3 < x < 5
3. x > 5 AND x < 3
4. x < 5 OR x > 3 ✓
Temperature between 0C and 100C. Which inequality?
1. t < 0 OR t > 100
2. 0 < t < 100 ✓
3. t <= 0 AND t >= 100
4. t < 0 AND t > 100
pH is acidic (< 7) or basic (> 7). Which inequality?
1. 7 < pH < 14
2. pH < 7 AND pH > 7
3. pH < 7 OR pH > 7 ✓
4. 0 < pH < 7
Solve: x + 2 > 1 AND x - 3 < 4
1. -1 < x < 7 ✓
2. x > -1 OR x < 7
3. x > 1 AND x < 4
4. 1 < x < 7
Simplify: x > 2 AND x > 5
1. x > 2
2. x > 7
3. x > 5 ✓
4. 2 < x < 5
Simplify: x < 2 OR x < 5
1. x < 2
2. 2 < x < 5
3. x < 7
4. x < 5 ✓
Age from 13 to 19, inclusive. Which inequality?
1. 13 < a < 19
2. a < 13 OR a > 19
3. 13 <= a <= 19 ✓
4. 13 < a OR a < 19
Speed at least 40 mph, at most 65 mph. Which?
1. 40 <= s <= 65 ✓
2. s < 40 OR s > 65
3. 40 < s < 65
4. s <= 40 AND s >= 65
Solve: 3x - 2 <= 4 OR 2x + 5 >= 13
1. x <= 2 AND x >= 4
2. x <= 4 OR x >= 2
3. 2 <= x <= 4
4. x <= 2 OR x >= 4 ✓
Does x = 4 satisfy 'x < 2 OR x > 3'?
1. Yes ✓
2. No
3. Maybe
4. Not enough info
Does x = 4 satisfy '1 < x < 5'?
1. Not enough info
2. No
3. Maybe
4. Yes ✓
Solve: -6 <= 3x < 12
1. -18 <= x < 36
2. -2 <= x < 4 ✓
3. -3 <= x < 9
4. -9 <= x < 15
Parking: No parking before 8 AM or after 6 PM. Which?
1. 8 <= t <= 18
2. t < 8 OR t > 18 ✓
3. 8 < t < 18
4. t < 8 AND t > 18
Normal body temp: 36.5C to 37.5C. Which inequality?
1. 36.5 <= t <= 37.5 ✓
2. t < 36.5 OR t > 37.5
3. 36.5 < t < 37.5
4. t <= 36.5 AND t >= 37.5
Solve: 4 < 2x + 2 < 10
1. 1 < x < 4 ✓
2. 2 < x < 5
3. 6 < x < 12
4. 3 < x < 6
Which graph shows AND inequality?
1. Two separate regions
2. Entire number line
3. No shaded region
4. One continuous region ✓
📖 math_quiz2_6_solving_linear_inequalities
Solve: 2x + 5 < 13
1. x > 4
2. x < 9
3. x < 4 ✓
4. x <= 4
Solve: 3y - 7 >= 14
1. y >= 21
2. y >= 7 ✓
3. y > 7
4. y <= 7
Solve: -4a + 9 > 1
1. a > 2
2. a < 2 ✓
3. a > -2
4. a < -2
Solve: x/5 + 3 <= 7
1. x <= 4
2. x >= 20
3. x < 20
4. x <= 20 ✓
Solve: 5x + 2x - 3 < 18
1. x > 3
2. x <= 3
3. x < 3 ✓
4. x < 7
Solve: 2(x + 3) >= 14
1. x >= 4 ✓
2. x >= 8
3. x >= 7
4. x > 4
Solve: 3(2y - 1) + 4 < 19
1. y < 3 ✓
2. y < 6
3. y <= 3
4. y > 3
Solve: -2(x - 4) > 10
1. x > -1
2. x < -1 ✓
3. x > 9
4. x < 9
Solve: 5x + 3 < 2x + 12
1. x > 3
2. x <= 3
3. x < 3 ✓
4. x < 5
Solve: 7y - 4 >= 2y + 11
1. y >= 15
2. y > 3
3. y >= 5
4. y >= 3 ✓
Solve: 4 - 3x > 2x + 14
1. x > -2
2. x < -2 ✓
3. x > 2
4. x < 2
Solve: x/3 + x/2 > 5
1. x > 10
2. x >= 6
3. x > 6 ✓
4. x > 5
Solve: 0.5x + 1.2 < 3.7
1. x < 5 ✓
2. x < 2.5
3. x < 10
4. x <= 5
Solve: -x/3 < 2
1. x < 6
2. x < -6
3. x > -6 ✓
4. x > 6
When solving 2(x+3) > 2x+5, you get 6 > 5. What does this mean?
1. x > 1
2. x < 1
3. No solution
4. All real numbers ✓
When solving 3x+7 < 3x+2, you get 7 < 2. What does this mean?
1. x > 5
2. x < 5
3. No solution ✓
4. All real numbers
Solve: 3a + 7 <= 5a - 3
1. a >= 5 ✓
2. a >= 10
3. a <= 10
4. a <= 5
Books cost $8 each. You have at most $60. Maximum books?
1. 8
2. 9
3. 6
4. 7 ✓
Solve: (2x-1)/4 <= 3
1. x <= 6.5 ✓
2. x <= 13
3. x <= 12
4. x <= 7
Solve: 0.25y - 0.5 >= 1.5
1. y >= 6
2. y >= 2
3. y >= 4
4. y >= 8 ✓
Solve: 4x + 3x - 5 > 16
1. x >= 3
2. x > 3 ✓
3. x > 7
4. x > 21
Solve: -5b + 12 <= 2
1. b <= -2
2. b >= 2 ✓
3. b <= 2
4. b >= -2
Solve: 2a + 9 > 5a - 6
1. a < 5 ✓
2. a > 15
3. a > 5
4. a < 15
A phone plan costs $25 + $0.05 per text. Spend <= $35. Max texts?
1. 200 ✓
2. 100
3. 150
4. 250
Solve: 4 - 2x <= 3x + 14
1. x <= -2
2. x >= 2
3. x <= 2
4. x >= -2 ✓
📖 math_quiz2_5_introduction_to_inequalities
What symbol means 'less than or equal to'?
1. <
2. >
3. <= ✓
4. >=
Solve: x + 5 < 12
1. x < 17
2. x < 7 ✓
3. x > 7
4. x <= 7
Solve: -2x < 10
1. x < -5
2. x > -5 ✓
3. x < 5
4. x > 5
Which uses an open circle on the number line?
1. x <= 3
2. x >= 5
3. x = 4
4. x < 7 ✓
What does 'At least 18 years old' translate to?
1. a < 18
2. a > 18
3. a >= 18 ✓
4. a <= 18
Solve: 3x <= 15
1. x <= 5 ✓
2. x < 5
3. x >= 5
4. x = 5
Solve: -5y > 20
1. y < -4 ✓
2. y > -4
3. y > 4
4. y < 4
Is x = 4 a solution to x < 5?
1. No
2. Yes ✓
3. Maybe
4. Cannot tell
What does 'Maximum 30 mph' translate to?
1. s > 30
2. s < 30
3. s <= 30 ✓
4. s >= 30
Solve: y - 3 >= 8
1. y <= 11
2. y >= 5
3. y > 11
4. y >= 11 ✓
When do you flip the inequality sign?
1. Adding
2. Multiply/divide by negative ✓
3. Subtracting
4. Multiply/divide by positive
Solve: a/4 > 2
1. a < 8
2. a > 2
3. a > 8 ✓
4. a >= 8
What does 'No more than 25 people' translate to?
1. p <= 25 ✓
2. p > 25
3. p < 25
4. p >= 25
Solve: -x < 5
1. x < -5
2. x < 5
3. x > -5 ✓
4. x > 5
Is y = 5 a solution to y >= 5?
1. Cannot tell
2. No
3. Maybe
4. Yes ✓
Solve: 2b + 1 < 11
1. b > 5
2. b < 6
3. b < 5 ✓
4. b <= 5
What does 'Temperature below 0°C' translate to?
1. t < 0 ✓
2. t > 0
3. t <= 0
4. t >= 0
Solve: -3a >= 12
1. a >= -4
2. a <= 4
3. a >= 4
4. a <= -4 ✓
Which is NOT a solution to x < 10?
1. 10 ✓
2. 0
3. -5
4. 9
Solve: 4 + x > 9
1. x >= 5
2. x > 13
3. x < 5
4. x > 5 ✓
What does 'At most $50' translate to?
1. m < 50
2. m <= 50 ✓
3. m > 50
4. m >= 50
Solve: -y/2 > 3
1. y > -6
2. y < -6 ✓
3. y > 6
4. y < 6
What does 'Minimum 5 items' translate to?
1. i >= 5 ✓
2. i > 5
3. i <= 5
4. i < 5
Solve: 7 - 2x < 3
1. x > 2 ✓
2. x < 2
3. x < -2
4. x > -2
Is a = -3 a solution to a > -3?
1. Yes
2. Cannot tell
3. Maybe
4. No ✓
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