AASA 7th Grade Math 3

Question 1

What is the constant of proportionality in the equation y = 4.5x?

Accepted Answer

4.5

Answer

In a proportional relationship y = kx, the constant of proportionality k is 4.5.

Question 2

A triangular prism has a base area of 15 square inches and a height of 8 inches. What is its volume?

Accepted Answer

120 cubic inches

Answer

Volume of a prism = base area × height = 15 × 8 = 120 cubic inches.

Question 3

Which of the following is an equivalent expression to −2(3x − 4) + 5x?

Accepted Answer

−x + 8

Answer

Distribute: −2(3x) + (−2)(−4) + 5x = −6x + 8 + 5x = −x + 8.

Question 4

A population of bacteria doubles every 3 hours. If the initial population is 200, how many bacteria are there after 9 hours?

Accepted Answer

1,600

Answer

After 3 hours: 200 × 2 = 400. After 6 hours: 400 × 2 = 800. After 9 hours: 800 × 2 = 1,600.

Question 5

A random sample of 50 students found that 30 prefer basketball over soccer. If the school has 400 students total, how many would you predict prefer basketball?

Accepted Answer

240

Answer

30 out of 50 = 60%. Predicted for 400 students: 0.60 × 400 = 240.

AASA - Arizona's Academic Standards Assessment Practice Test

AASA - Arizona's Academic Standards Assessment Practice Test

AASA 7th Grade Math 3