NJSLA Algebraic Concepts and Expressions 3

Question 1

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

Accepted Answer

x² + 2x - 8

Answer

Using FOIL: x² - 2x + 4x - 8 = x² + 2x - 8.

Question 2

If the expression 6x - 9 is factored completely, which of the following is correct?

Accepted Answer

3(2x - 3)

Answer

The GCF of 6x and 9 is 3, so 6x - 9 = 3(2x - 3).

Question 3

Evaluate: -2(3 - x) + 4x when x = 1

Accepted Answer

2

Answer

Substitute x = 1: -2(3 - 1) + 4(1) = -2(2) + 4 = -4 + 4 = 0... recalculate: -2(2)+4 = 0. Correct answer is 0.

Question 4

Which equation shows the commutative property of multiplication?

Accepted Answer

3x · 4 = 4 · 3x

Answer

The commutative property states that a · b = b · a, meaning order doesn't matter in multiplication.

Question 5

What is the coefficient of x² in the expression 7 - 3x² + 5x?

Accepted Answer

-3

Answer

The coefficient is the number multiplied by x², which is -3.

NJSLA Exam Practice Test