Core Academic Skills Assessment Math 3

Question 1

What is 15% of 320?

Accepted Answer

48

Answer

320 × 0.15 = 48.

Question 2

Simplify: (x² − 9)/(x − 3)

Accepted Answer

x + 3

Answer

x² − 9 factors as (x+3)(x−3); dividing by (x−3) gives x + 3.

Question 3

A car travels 270 miles in 4.5 hours. What is its average speed in miles per hour?

Accepted Answer

60 mph

Answer

Speed = 270 ÷ 4.5 = 60 mph.

Question 4

What is the median of the data set: 7, 12, 3, 19, 5, 14, 8?

Accepted Answer

8

Answer

Ordered: 3, 5, 7, 8, 12, 14, 19 — the middle value is 8.

Question 5

If f(x) = 2x² − 3, what is f(−2)?

Accepted Answer

5

Answer

f(−2) = 2(4) − 3 = 8 − 3 = 5.

Core Academic Skills Assessment Practice Test