Scale Factor/Proportional Relationships
A model car is built at a scale of 1:25. The model is 6 inches long. How long is the real car?
150 inches
Find the area of a rectangle with length 8 cm and width 3 cm
24 cm²
Compute: (-3) + 7
4
Are the expressions 3(x + 2) and 3x + 6 equivalent?
Yes
True or False: A random sample means every member of the population has an equal chance to be selected
True
If y = 4x, then what is y when x = 3
12
A triangle has base 10 m and height 4 m. Find its area.
20 m²
5 - (-4)
9
Simplify: 4(2x - 3) + 5x
13x - 12
If you randomly sample 50 students and 30 prefer pizza, what percent prefer pizza?
60%
A map uses a scale where 1 cm represents 5 km. Two towns are 7.2 cm apart on the map. What is the actual distance in kilometers?
36
A rectangle’s area is 48 cm² and its width is 6 cm. Find the length.
8 cm
Compute: (-6) × (-8)
48
Solve: 3x + 5 = 20. Find x.
5
A sample of 120 marbles drawn from a large bag contains 45 blue marbles. Estimate the probability a randomly drawn marble is blue and give it as a percent.
37.5%
A rectangle is enlarged by a scale factor of 3 from dimensions 4 cm by 5 cm. What are the new dimensions of the rectangle?
12 cm by 15 cm
A right triangle has legs 7 cm and 24 cm. Find its area.
84 cm²
Compute: (-24) ÷ 6
-4
Solve: 2( x - 3 ) + 4 = 3x - 2. Find x.
x = 0
A survey about favorite lunches is only given to students who buy lunch. Is this sample representative of the population? Why or why not?
No, because not every student has an equal chance to be chosen to participate in the survey.
A pair of similar triangles have corresponding side lengths 6 and 9 for one pair of sides. The smaller triangle’s area is 24 cm². What is the larger triangle’s area?
542
A composite figure is a rectangle 12 by 5 with a right triangle (base 4, height 5) removed from one short side. Find the area of the remaining shape.
50
Evaluate: (-3) + 4 × (-2) (use order of operations)
-11
Write and solve an inequality: You need at least 45 points to pass. You have 12 points so far and can earn 3 points per assignment. How many assignments a must you complete to reach at least 45 points? (Write inequality and solve.)
12 + 3x ≥ 45
x ≥ 11
Calculate the mean of the following data:
4, 6, 4, 8, 12, 14
8