Core Academic Skills Assessment Math 2

Question 1

A recipe calls for 2¾ cups of flour. If you want to make 1.5 times the recipe, how many cups of flour do you need?

Accepted Answer

4⅛ cups

Answer

2¾ = 2.75; 2.75 × 1.5 = 4.125 = 4⅛ cups.

Question 2

What is the value of x if 3(x − 4) = 2x + 1?

Accepted Answer

13

Answer

3x − 12 = 2x + 1 → x = 13.

Question 3

A store marks up an item 40% from its cost of $85. What is the selling price?

Accepted Answer

$119.00

Answer

$85 × 1.40 = $119.00.

Question 4

The perimeter of a rectangle is 54 cm. If the length is twice the width, what is the area?

Accepted Answer

162 cm²

Answer

Width = 9 cm, length = 18 cm; area = 9 × 18 = 162 cm².

Question 5

Which of the following is equivalent to 5⁻²?

Accepted Answer

1/25

Answer

A negative exponent means reciprocal: 5⁻² = 1/5² = 1/25.

Core Academic Skills Assessment Practice Test