Question 1

Which of the following is the correct value for $$-5 \cdot 2^3$ + 2 - (-2)^2$?

Accepted Answer

$$-42$$

Question 2

Simplify $$\left( \frac{-4}{5} \right) \left( \frac{-3}{2} \right).$$

Accepted Answer

$$\frac{6}{5}$$

Question 3

What is the result of $$\frac{2}{5} - \frac{3}{2}$$?

Accepted Answer

$$-\frac{11}{10}$$

Question 4

Which of the following is undefined?

Accepted Answer

$$\frac{3}{0}$$

Question 5

Calculate $$(3.276)(100,000).$$

Accepted Answer

$$327,600$$

Question 6

Simplify $$\frac{16x^2$}{4x^7$}.$$

Accepted Answer

$$4x^{-5}$$

Question 7

What is the slope of the line $$2x - 7y = 8$$?

Accepted Answer

Question 8

What is the equation of the line perpendicular to $$2x - 7y = 8$$ passing through $$(1, -5)$$?

Accepted Answer

$$y + 5 = -\frac{7}{2}(x - 1)$$

Question 9

Given points $$(2, 4)$$ and $$(-8, 7)$$, what is the slope of the line through these points?

Accepted Answer

$$-\frac{1}{10}$$

Question 10

What is the equation of the line through $$(2, 4)$$ and $$(-8, 7)$$?

Accepted Answer

$$y - 4 = -\frac{1}{10}(x - 2)$$

Question 11

Solve the equation $$3(2x + 1) - 2(x + 5) = 4(x - 3).$$

Accepted Answer

$$x = -1$$

Question 12

Find the domain of $$f(x) = \sqrt{3x + 9}.$$

Accepted Answer

$$x \geq -3$$

Question 13

Find the domain of $$h(x) = \frac{2}{\sqrt{3x + 11}}.$$

Accepted Answer

$$x \geq -\frac{11}{3}$$

Question 14

Given the piecewise function $$f(x) = \begin{cases} 3x - 2 & x \leq 0 \ x^2$ & 0 \u003c x \u003c 3 \ 2x + 3 & x \geq 3 \end{cases}$$, what is $$f(-4)$$?

Accepted Answer

$$-14$$

Question 15

Let $$f(x) = x^2$ + 2$$ and $$g(x) = 3x - 2. $$What is $$(f + g)(2)$$?

Accepted Answer

Question 16

Let $$f(x) = x^3$ and g(x) = 2x - 5$. What is (f - g)(x$$)$$?

Accepted Answer

Question 17

If the revenue from producing $$x$$ units is $$R(x) = 20x - 2x^2$ and the cost from producing x$ units is C(x) = 5x + 2$, what is the profit P(x$$)$$?

Accepted Answer

$$15x - 2x^2$ + 2$$

College Algebra Study Guide: Functions, Equations, and Graphs

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