Core Academic Skills Assessment Mathematics: Number and Quantity 4

Question 1

Which expression is equivalent to (2³)²?

Accepted Answer

64

Answer

(2³)² = 2⁶ = 64.

Question 2

A jacket originally costs $120 and is on sale for $84. What is the percent discount?

Accepted Answer

30%

Answer

(120 − 84) / 120 = 36/120 = 0.30 = 30%.

Question 3

Which of the following is a perfect cube?

Accepted Answer

125

Answer

125 = 5³, making it a perfect cube.

Question 4

Which inequality represents all numbers within 3 units of 7 on a number line?

Accepted Answer

|x − 7| < 3

Answer

'Within 3 units of 7' means the distance from x to 7 is less than 3, written |x − 7| < 3.

Question 5

If the exchange rate is $1 = 0.92 euros, how many dollars are equivalent to 46 euros?

Accepted Answer

$50

Answer

46 ÷ 0.92 = 50, so 46 euros equals $50.

Core Academic Skills Assessment Practice Test