Question 1

A function $$g(x) is $$defined by $$g(x) = 5x + 8. $$What is the value of $$g(12)$$?

Accepted Answer

$$60$$

Question 2

Which of the following is an equation of the line that passes through the point $$(0, 4)$$ and is perpendicular to the line $$y = -\frac{3}{2}x + 5$$?

Accepted Answer

$$y = \frac{2}{3}x + 4$$

Question 3

The surface area of a right rectangular prism can be found by finding the sum of the areas of each of the six faces of the prism. What is the surface area of a right rectangular prism which has different lengths: 9 cm, 4 cm, and 3 cm?

Accepted Answer

$$138\ 	ext{cm}^2$$

Question 4

Which of the following expressions is equivalent to $$7x^2 - 2x + 14$?

Accepted Answer

$$7x^2 + 14 - 2x$

Question 5

The graph above shows the cost, in dollars, of apples as a function of the number of pounds of apples purchased at a particular grocery store. The equation for the cost of pears is $$C = 0.79p. $$Which statement accurately compares the cost per pound of apples and pears?

Accepted Answer

Apples cost approximately $$0.07$$ less per pound than pears do.

Question 6

Which of the following graphs could represent the equation $$y = x^4$ - 2x^2$ + 1$$?

Accepted Answer

A graph with two local minima and one local maximum, symmetric about the $$y-$$axis.

Question 7

Which of the following expressions is equivalent to $$3x^2 - 6x + 4$?

Accepted Answer

$$3(x^2 - 2x) + 4$

Question 8

A biologist models the expected number of bacteria, $$n$$, after $$t$$ days as $$n = 5000(2^t). $$How many bacteria are expected after $$3$$ days?

Accepted Answer

$$40,000$$

Question 9

Solve for $$x$$: $$3x + 5x = 9 - 5.$$

Accepted Answer

$$1$$

Question 10

The graph of $$y = f(x) is $$shown in the $$xy-$$plane below. Which of the following equations could define $$f(x)$$?

Accepted Answer

$$f(x) = -x^2$ + 2x + 8$$

Question 11

Which of the following best describes the range of $$y = x^2$ - 7$$?

Accepted Answer

$$y \geq -7$$

Question 12

If $$f(x) = x^2$ - 3x + 1$$, what is $$f(x + 2)$$?

Accepted Answer

$$x^2 + x - 2$

Question 13

What, if any, is a real solution to $$5x^2 + 1 = 9x$?

Accepted Answer

$$x = 1.43$$

Question 14

If $$x^2 = -2$ and x^2$ = 8$$, what is the solution to $$x^4$$ - $$6x^2 + 16 = 0$?

Accepted Answer

$$2$$ and $$8$$

Question 15

Triangle $$JKL$$ and triangle $$PQR$$ are shown above. If $$\angle J is $$congruent to $$\angle P$$, which of the following must be true in order to prove that triangles $$JKL$$ and $$PQR$$ are congruent?

Accepted Answer

$$JK = PQ$$ and $$KL = QR$$

Question 16

Which of the following is equivalent to $$2^{x + 2}$$ \div 2^x$$?

Accepted Answer

$$2^2$$

Question 17

Evaluate $$\log_2${8}.$$

Accepted Answer

$$3$$

Question 18

If $$y \u003e 0$$ and $$y 
eq 9$$, which of the following expressions is equivalent to $$\frac{\sqrt{y}}{\sqrt{9 - y}}$$?

Accepted Answer

$$\frac{\sqrt{y}}{\sqrt{9 - y}}$$

Question 19

In triangle $$ABC$$, angle $$C is a $$right angle. If $$\cos A = \frac{3}{5}$$, what is the value of $$\sin B$$?

Accepted Answer

$$\frac{4}{5}$$

ACCUPLACER Advanced Algebra and Functions: Precalculus Study Notes

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