# Simple math

(See attached file for full problem description)

1. Which of the ordered pairs

(3, 1), (0, -4), (-4, 0), (-3, -7)

are solutions for the equation x - y = 4?

A) (0, -4), (-4, 0), and (-3, -7)

B) (-4, 0) and (-3, -7)

C) (0, -4) and (-3, -7)

D) (3, 1) and (-4, 0)

2. Give the coordinates of the point graphed below.

A) (5, -4)

B) (-4, 5)

C) (4, -5)

D) (-5, 4)

3. Find the slope of the line passing through the points (-4, -10) and (10, -10).

A) 0

B) 1

C) 14

D) Undefined

4. Find the slope of the graphed line.

A) 0

B) 1

C) -4

D) Undefined

5. Find the slope and y-intercept.

x = -8

A) Slope: 0; y-intercept: (0, -8)

B) Slope: undefined; y-intercept: (0, -8)

C) Slope: 0; y-intercept: none

D) Slope: undefined; y-intercept: none

6. Write the equation of the line with slope -2 and y-intercept (0, 3).

A) y = 3x - 2

B) 3x - 2y = 0

C) y = -2x + 3

D) -2y = 3

7. Determine which two equations represent perpendicular lines.

(a) y = x - 2

(b) y = 2x -

(c) y = x +

(d) y = x -

8. Match the graph with one of the equations.

A)

B)

C) y = 2x - 1

D)

9. Write the equation of the line passing through (-3, -5) and (3, 0).

A)

B)

C)

D)

10. Determine which two equations represent parallel lines.

(a) y = 5x - 5 (b) y = -5x + 5 (c) y = 5x + 3 (d) y = x - 5

11. Complete the ordered pairs for the equation 2x + y = 10.

(5, ), ( , 10), ( , -2), (0, )

12. Find the slope of the line passing through the points (0, 2) and (3, 5).

13. Graph by first solving for y.

x + 2y = 8

14. Find the slope of the graphed line.

15. A student earns $0.65 for each mistake she finds in a text. Sketch the equation of direct variation.

16. The following bar graph shows the enrollment at a community college.

What was the increase in enrollment from 1997 to 1999?

17. The line graph below shows the number of stray dogs in a certain city for the years listed.

(a) Which year had the least amount of stray dogs?

(b) Between which two years did the greatest decrease in stray dogs occur?

18. Find the slope and the y-intercept.

y = 7x + 1

19. Write the equation of the line with slope 4 and y-intercept (0, -5). Then graph the line.

20. Write the equation of the line which passes through the point (2, 1) and is parallel to the line with equation y = .

#### Solution Summary

This solution is comprised of a detailed explanation to various algebra questions such as, linear equation, slope of linear line. It also shows how to graph a linear line.