Accuplacer College Placement ACCUPLACER Advanced Algebra and Functions Test 3

Question 1

Which value of x satisfies 2^(x+1) = 16?

Accepted Answer

x = 3

Answer

16 = 2⁴, so 2^(x+1) = 2⁴ means x + 1 = 4, giving x = 3.

Question 2

What is the period of the function y = cos(πx)?

Accepted Answer

2

Answer

Period = 2π ÷ B = 2π ÷ π = 2.

Question 3

Solve for x: |2x − 3| = 7

Accepted Answer

x = 5 or x = −2

Answer

Set 2x − 3 = 7 giving x = 5, and 2x − 3 = −7 giving x = −2.

Question 4

What is the y-intercept of the function f(x) = 3x² − 4x + 2?

Accepted Answer

2

Answer

The y-intercept occurs at x = 0: f(0) = 3(0) − 4(0) + 2 = 2.

Question 5

Which of the following is a zero of f(x) = x³ − x² − 6x?

Accepted Answer

x = 3

Answer

Factor: x(x² − x − 6) = x(x − 3)(x + 2), so zeros are x = 0, x = 3, and x = −2.

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