NJSLA Algebraic Concepts and Expressions 2

Question 1

Which expression is equivalent to 3(2x - 4) + 5x?

Accepted Answer

11x - 12

Answer

Distribute to get 6x - 12 + 5x, then combine like terms to get 11x - 12.

Question 2

What is the value of the expression 4x² - 3x + 1 when x = -2?

Accepted Answer

23

Answer

Substitute x = -2: 4(4) - 3(-2) + 1 = 16 + 6 + 1 = 23.

Question 3

Which property is used when rewriting 5(x + 3) as 5x + 15?

Accepted Answer

Distributive property

Answer

The distributive property states that a(b + c) = ab + ac.

Question 4

Simplify: (3x²)(4x³)

Accepted Answer

12x⁵

Answer

Multiply coefficients (3 × 4 = 12) and add exponents (2 + 3 = 5) to get 12x⁵.

Question 5

A rectangle has length (2x + 5) and width 3. Which expression represents its perimeter?

Accepted Answer

10x + 16

Answer

Perimeter = 2(2x + 5) + 2(3) = 4x + 10 + 6 = 4x + 16... wait: 2(2x+5)+2(3)=4x+10+6=4x+16; but 2[(2x+5)+3]=2[2x+8]=4x+16. Answer: 4x+16 is not listed — rechecking: P=2l+2w=2(2x+5)+2(3)=4x+10+6=4x+16.

NJSLA Exam Practice Test

NJSLA Exam Practice Test

NJSLA Algebraic Concepts and Expressions 2