PARCC Expressions and Equations

Question 1

Which expression is equivalent to 3(2x + 4)?

Accepted Answer

6x + 12

Answer

Applying the distributive property: 3 × 2x = 6x and 3 × 4 = 12, giving 6x + 12.

Question 2

Solve for x: x + 9 = 21

Accepted Answer

x = 12

Answer

Subtracting 9 from both sides: x = 21 − 9 = 12.

Question 3

Which property justifies the step: 4x + 3x = (4 + 3)x?

Accepted Answer

Distributive Property

Answer

The Distributive Property allows factoring out a common variable: 4x + 3x = (4 + 3)x = 7x.

Question 4

What is the value of 5n − 3 when n = 4?

Accepted Answer

17

Answer

Substituting n = 4: 5(4) − 3 = 20 − 3 = 17.

Question 5

Which inequality represents 'a number decreased by 5 is at least 10'?

Accepted Answer

n − 5 ≥ 10

Answer

'Decreased by 5' means subtraction, and 'at least 10' means greater than or equal to 10, giving n − 5 ≥ 10.

PARCC Practice Test