EDGE Math 8

1.	What are the coordinates of the point that lies on the graphs of both equations below? (Note: Graph the equations to determine the coordinates of the required point.)

$y = 14 - x$
$y = x - 2$

(14, 2)

(8, 6)

(6, 4)

none of the choices

Answer: $(8, 6)$

2.

The equation below shows the relationship between degrees Fahrenheit (F) and degrees Celsius (C).

$F = \frac{9}{5} C + 32$

Suppose you will graph the equation in such a way that the Celsius scale is on the x-axis and the Fahrenheit scale is on the y-axis. At what point does the graph intersect the y-axis?

(0, - 32)

(0, \frac{160}{9})

(0, 32)

(0, - \frac{160}{9})

Answer: $(0, 32)$

3.	What is the x-intercept of the following equation?

$\frac{x}{2} + \frac{y}{5} = 1$

5

2

−2

−5

Answer: 2

4.	What is the y-intercept of the equation in item 3?

5

2

−2

−5

Answer: 5

5.	What is the x-intercept of the following equation?

$y = - \frac{2}{3} x + 12$

−18

−12

12

18

Answer: 18

6.	Graph the two equations below. What can you say about their graphs?

$5 x + y = 3$
$10 x + 2 y = 6$

The graphs of the two equations are the same.

The graphs intersect at exactly one point.

The graphs are parallel to each other.

none of the choices

Answer: The graphs of the two equations are the same.

7.	Graph the two equations below. What can you say about the equations?

$y = x$
$y = - x$

The graphs of the two equations are the same.

The graphs intersect at exactly one point.

The graphs are parallel to each other.

none of the choices

Answer: The graphs intersect at exactly one point.