MPT Pre-Algebra 3

Question 1

A recipe calls for 2¼ cups of flour. If you want to make 1.5 times the recipe, how many cups of flour do you need?

Accepted Answer

3⅜ cups

Answer

2¼ = 9/4; (9/4) × (3/2) = 27/8 = 3⅜ cups.

Question 2

Which expression represents 'five less than twice a number n'?

Accepted Answer

2n − 5

Answer

'Twice a number' is 2n, and 'five less than' means subtract 5, giving 2n − 5.

Question 3

On a number line, what is the distance between −7 and 3?

Accepted Answer

10

Answer

Distance = |3 − (−7)| = |3 + 7| = 10.

Question 4

Which of the following is equivalent to 5²  × 5³?

Accepted Answer

5⁵

Answer

When multiplying powers with the same base, add the exponents: 5² × 5³ = 5^(2+3) = 5⁵.

Question 5

Evaluate: |−15 + 4| − |6 − 10|

Accepted Answer

7

Answer

|−11| − |−4| = 11 − 4 = 7.

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