$$(3,1) is $$not a solution because $$2(3) + 4 \neq 1$$

Question 1

Given the quadratic equation $$x^2 + 5x + 6 = 0$, which of the following are the correct solutions?

Accepted Answer

$$x = -2$$ and $$x = -3$$

Question 2

Which of the following best describes the slope of the line passing through the points $$(3,6)$$ and $$(4,1)$$?

Accepted Answer

$$m = -5$$

Question 3

If $$f(x) = x+1$$ for $$x \leq 2$$ and $$f(x) = 3$$ for $$x \u003e 2$$, what is $$f(-6) + f(5)$$?

Accepted Answer

Question 4

Which of the following intervals represents the solution to $$-5 \u003c x + 2 \u003c 10$$?

Accepted Answer

$$(-7, 8)$$

Question 5

Find the zero of the function $$f(x) = 7 - x.$$

Accepted Answer

$$x = 7$$

Question 6

Which of the following statements is true about the lines $$y = 3x + 1$$ and $$y = 3x - 4$$?

Accepted Answer

They are parallel because they have the same slope.

Question 7

Solve for $$x$$: $$\sqrt{1 - x} = 9$$

Accepted Answer

$$x = -80$$

Question 8

Which of the following is the correct solution set for $$-4 \leq x \u003c 1 or$$ $$x \geq 1$$?

Accepted Answer

$$[-4, \infty)$$

Question 9

Given $$f(x) = x^2$ + 1$$ and $$g(x) = 7 - x$$, what is $$(f-g)(3)$$?

Accepted Answer

$$6$$

Question 10

Which of the following is NOT a function?

Accepted Answer

A graph that fails the vertical line test.

Question 11

Solve and graph the solution to $$10 - 3x \leq 3x - 2.$$

Accepted Answer

$$x \geq 2$$

Question 12

Which of the following is an example of an even function?

Accepted Answer

$$-2x^4$$ + $$5x^2 + 1$

Question 13

If two lines are perpendicular, which of the following must be true about their slopes $$m_1$$ and $$m_2$$?

Accepted Answer

$$m_1$$ \cdot $$m_2 = -1$

Question 14

Which of the following is the correct solution to $$\frac{3}{x} = \frac{12}{16}$$?

Accepted Answer

$$x = 4$$

Question 15

Which of the following is the correct sum of $$(2 + \sqrt{-4}) + (7 + \sqrt{-16})$$?

Accepted Answer

$$9 + 6i$$

Question 16

Which of the following best describes an odd function?

Accepted Answer

A function with all odd powers of the variable and symmetry about the origin.

Question 17

If $$i^{35} is $$evaluated, what is the result?

Accepted Answer

$$-i$$

Question 18

Which of the following is the correct interval notation for the solution to $$-5 \leq x \leq -3$$?

Accepted Answer

$$[-5, -3]$$

Question 19

Which of the following is true about the function $$y = 2x + 4$$ and the point $$(3,1)$$?

Accepted Answer

$$(3,1) is $$not a solution because $$2(3) + 4 
eq 1$$

Question 20

Which of the following is the correct graph for the equation $$y = 3x + 1$$?

Accepted Answer

A straight line with slope $$3$$ and $$y-$$intercept $$1$$

College Algebra: Key Concepts, Problem Solving, and Function Analysis

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