Question 1

Which of the following equations represents a line that is perpendicular to $$y = 3x - 8$$?

Accepted Answer

$$y = -\frac{1}{3}x + 2$$

Question 2

Given the function $$f(x) = \begin{cases} 3x + 3 & 	ext{if } x \u003e 0 \ -3 & 	ext{if } x = 0 \ x/5 & 	ext{if } x \u003c 0 \end{cases}$$, what is $$f(-5)$$?

Accepted Answer

$$-1$$

Question 3

Solve the inequality $$2x + \frac{4}{3} \geq -4 + \frac{3}{x}$$ and express the solution in interval notation.

Accepted Answer

$$[1, \infty)$$

Question 4

Which of the following equations represents a vertical line?

Accepted Answer

$$x = -2$$

Question 5

Given the quadratic function graphed above, what is the vertex of the parabola?

Accepted Answer

$$(-3, 4)$$

Question 6

Write the equation $$y + 3 = -5x in $$slope-intercept form.

Accepted Answer

$$y = -5x - 3$$

Question 7

Which of the following best describes the graph of $$y = 0$$?

Accepted Answer

A horizontal line through the origin

Question 8

Given the system of equations: $$y - 10x = 80$$ and $$y + 2x = 90$$, what is the value of $$x$$?

Accepted Answer

$$-1$$

Question 9

Given the table of national health expenditures, if $$x is $$the number of years after 2000 and $$y is $$the expenditure in billions, which type of function best models the data?

Accepted Answer

Exponential

Question 10

If the model for national health expenditures is $$y = 1200e$$^{0.06x}$$, what is the predicted expenditure in 2030? (Round to the nearest billion.)

Accepted Answer

$$12,000$$

Question 11

Find the average rate of change of $$f(x)$$ from $$x = -2 to$$ $$x = 2$$ for $$f(x) = x^2$ - 4.$$

Accepted Answer

$$2$$

Question 12

Solve $$x - 5x = 2$$ for $$x.$$

Accepted Answer

$$x = -0.4$$

Question 13

Which interval notation matches the solution shown on the number line with a closed circle at $$1$$ and shading to the right?

Accepted Answer

$$[1, \infty)$$

Question 14

Which interval notation matches the solution shown on the number line with an open circle at $$3$$ and shading to the left?

Accepted Answer

$$(-\infty, 3)$$

Question 15

Given $$y = -\frac{3}{7}x - 7$$, what is the slope of the line?

Accepted Answer

$$-\frac{3}{7}$$

Question 16

Which equation is parallel to $$y = 2x - 7$$?

Accepted Answer

$$y = 2x + 5$$

Solving and Graphing Linear Equations and Inequalities

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