Exam 1: Graphs, Functions, and Models

Solve the problem. -Walt made an extra $7000 last year from a part-time job. He invested part of the money at 7% and the rest at 10%. He made a total of $580 in interest. How much was invested at 10%?

Find the slope of the line. - A) 1 B) -1 C) 2 D) -2

Solve the equation. -9 + 7x = 0 A) $- \frac { 7 } { 9 }$ B) $- \frac { 9 } { 7 }$ C) $\frac { 9 } { 7 }$ D) $\frac { 7 } { 9 }$

Use the distance formula and the Pythagorean theorem to determine whether the set of points could be vertices of a right triangle. -(9,-4),(13,-4),(13,3) A) Yes B) No

Solve the equation. - 9 x-11=0 A) $- \frac { 11 } { 9 }$ B) $- \frac { 9 } { 11 }$ C). $\frac { 9 } { 11 }$ D) $\frac { 11 } { 9 }$

Solve and graph the solution set. - $- 5 x + 10 \leq - 6 x - 2$ A) $\{ x \mid x \leq - 12 \} \text { or } ( - \infty , - 12 ]$ B) $\{ x \mid x > - 5 \} \text { or } ( - 5 , \infty )$ C) $\{ x \mid x < - 5 \} \text { or } ( - \infty , - 5 )$ D) $\{ x \mid x \geq - 12 \} \text { or } [ - 12 , \infty )$

Solve the equation. - $\frac { 8 } { 5 } y + 5 = \frac { 3 } { 8 }$ A) $\frac { 185 } { 64 }$ В) $- \frac { 5 } { 4 }$ C) $- \frac { 11 } { 32 }$ D) $- \frac { 185 } { 64 }$

Solve the problem using your calculator. -The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands). Use a graphing calculator to model the data with a linear function that predicts the number of products sold as a function of the cost of advertising. Cost 9 2 3 4 2 5 9 10 Number 85 52 55 68 67 86 83 73 A) y=-26.4-1.42 x B) y=26.4+1.42 x C) y=55.8-2.79 x D) y=55.8+2.79 x

Solve the equation. -2x-5=0 A) $- \frac { 2 } { 5 }$ B) $\frac { 5 } { 2 }$ C) $- \frac { 5 } { 2 }$ D) $\frac { 2 } { 5 }$

Plot the two points given by the ordered pairs. -A(0, 0), B(4, 6) A) B) C) D)

Find the slope of the line containing the given points. -(9, -5), (7, -5)

Find the zero of the linear function. -f(x)= 22-x A) 22 B) $\frac { 1 } { 22 }$ C)-22 D) 0

Find the zero of the linear function. -f(x)= 4 +9x

Find the slope of the line containing the given points. - (-9,-6) and (3,-2) A) $\frac { 1 } { 3 }$ B) 3 C) $- \frac { 1 } { 3 }$ D) $\frac { 4 } { 3 }$

Is the following correspondence a function? - Name Test Score Bob L. 90 Susan H. 83 Jim H. 76 Bruce B. 96 A) Yes B) No

Write an equation in slope-intercept form for the line shown. - A) $y = \frac { 1 } { 2 } x$ B) y= -2x C) y= 2x D) $y = - \frac { 1 } { 2 } x$

Determine the slope, if it exists, of the graph of the given linear equation. - $f ( x ) = - \frac { 1 } { 4 } x + 6$ A) m=6 B) m= $- \frac { 1 } { 4 }$ C) m=-6 D) m= $\frac { 1 } { 4 }$

Write a slope-intercept equation for a line with the given characteristics. - $\mathrm { m } = \frac { 5 } { 8 },$ passes trough (2,4) A) $y = - \frac { 5 } { 8 } x - \frac { 11 } { 4 }$ B) $y = \frac { 5 } { 8 } x - \frac { 11 } { 4 }$ C) $y = \frac { 5 } { 8 } x + \frac { 11 } { 4 }$ D) $y = \frac { 8 } { 5 } x + \frac { 22 } { 5 }$

Find the slope of the line. - A) 0 B) -5 C) not defined D) 5

Graph the equation using the slope and the y-intercept. --5x+ 15y = -45 A) B) C) D)