West B Test Math: Algebraic Concepts 4

Question 1

Which of the following is the factored form of x² - 9?

Accepted Answer

(x + 3)(x - 3)

Answer

x² - 9 is a difference of squares: (x + 3)(x - 3).

Question 2

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

Accepted Answer

7

Answer

4(-1)² - 2(-1) + 1 = 4 + 2 + 1 = 7.

Question 3

Which graph represents a function?

Accepted Answer

A parabola opening upward

Answer

A parabola opening upward passes the vertical line test, confirming it is a function.

Question 4

Solve for x: x/4 + 3 = 7

Accepted Answer

16

Answer

x/4 = 4 → x = 16.

Question 5

What is the axis of symmetry of the parabola y = x² - 6x + 8?

Accepted Answer

x = 3

Answer

The axis of symmetry is x = -b/(2a) = 6/2 = 3.

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