AQL Number Sense and Algebraic Thinking

Question 1

Which of the following best represents the value of 2³ × 2⁴?

Accepted Answer

2⁷

Answer

When multiplying exponential expressions with the same base, you add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.

Question 2

If a store sells apples for $1.25 each and oranges for $0.75 each, how much does it cost to buy 4 apples and 6 oranges?

Accepted Answer

$9.50

Answer

4 × $1.25 = $5.00 and 6 × $0.75 = $4.50, so the total is $5.00 + $4.50 = $9.50.

Question 3

Which number is a prime number?

Accepted Answer

53

Answer

53 is prime because it has no divisors other than 1 and itself; 51 = 3×17, 55 = 5×11, and 57 = 3×19.

Question 4

Solve for x: 3x - 7 = 14

Accepted Answer

x = 7

Answer

Adding 7 to both sides gives 3x = 21, then dividing by 3 gives x = 7.

Question 5

What is the least common multiple (LCM) of 8 and 12?

Accepted Answer

24

Answer

The LCM of 8 and 12 is 24 because 24 is the smallest number that both 8 and 12 divide into evenly.

AQL - Academic and Quantitative Literacy Practice Test