AQL Number Sense and Algebraic Thinking 3

Question 1

Which of the following is equivalent to 0.375?

Accepted Answer

3/8

Answer

0.375 = 375/1000 = 3/8 when reduced to lowest terms.

Question 2

Solve the inequality: 2x + 5 > 11

Accepted Answer

x > 3

Answer

Subtracting 5 from both sides gives 2x > 6, and dividing by 2 gives x > 3.

Question 3

What is the absolute value of -15?

Accepted Answer

15

Answer

Absolute value measures a number's distance from zero on the number line, so |-15| = 15.

Question 4

A savings account earns 5% simple interest per year. If you deposit $400, how much interest will you earn after 3 years?

Accepted Answer

$60

Answer

Simple interest = Principal × Rate × Time = $400 × 0.05 × 3 = $60.

Question 5

Which expression is equivalent to 4² + 4³?

Accepted Answer

16 + 64

Answer

4² = 16 and 4³ = 64, so 4² + 4³ = 16 + 64 = 80; you cannot add terms by adding exponents.

AQL - Academic and Quantitative Literacy Practice Test