NJSLA Algebraic Concepts and Expressions 5

Question 1

Which expression represents the perimeter of a square with side length (3x - 1)?

Accepted Answer

12x - 4

Answer

Perimeter of a square = 4s = 4(3x - 1) = 12x - 4.

Question 2

Simplify the expression: 2x + 3y - x + 5y

Accepted Answer

x + 8y

Answer

Combine like terms: 2x - x = x and 3y + 5y = 8y, giving x + 8y.

Question 3

What value of n makes 5n - 8 = 3n + 4 true?

Accepted Answer

6

Answer

Subtract 3n from both sides: 2n - 8 = 4; add 8: 2n = 12; divide by 2: n = 6.

Question 4

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

Accepted Answer

-2x + 5

Answer

Distributing the negative sign: -(2x - 5) = -2x + 5.

Question 5

The expression 16 - 4x² can be factored as:

Accepted Answer

4(2 - x)(2 + x)

Answer

Factor out 4: 4(4 - x²), then factor the difference of squares: 4(2 - x)(2 + x).

NJSLA Exam Practice Test