2013 ALGEBRA I SPRING BREAK ASSIGNMENT-SHOW ALL WORK ON A SEPARATE SHEET OF PAPER. DO NOT WRITE ON THIS SHEET.

  1. What is the slope of a line parallel to the line y = ?
  1. Find the slope of a line perpendicular to the line defined by the equation 3x – 5y = 12.
  1. Find the equation of a line perpendicular to y = that passes through the point

(6,–3).

  1. Find the equation of a line parallel to y = –3x + 4 that passes through the point (–3, 4)?
  1. What is the equation of the line that has a slope of 7 and passes through the point

(2, 3)?

  1. Which point lies on the line defined by x – 2y = 4?

A / . (1, –2) / B / . (0, 2) / C / . (4, 1) / D / . (2, –1)
  1. What is the equation of the line that passes through the points (–1, 2) and (3, 6)?
  1. What is the equation represented by the line shown below?
  1. Identify the solution to the following system of equations:

6x + 3y = 9

y = –2x + 3

10. Determine the solution to the following system of equations:

2x + 4y = –12

x + 2y = –2

11.What is the solution to this system of equations?

3x + 2y = –10

y = –x – 4

12.What is the solution to the following system of inequalities?

y ≥ –3x + 3

yx + 7

13. Use the method of completing the square to solve x2 – 8x + 7 = 0.

14.Which equation below has the same solution set as x2 – 24x = –44?

A.(x – 12)2 = –188 B. (x – 24)2 = –100 C. (x – 12)2 = 100 D. (x + 12)2 = 100

15. What quantity should be added to both sides of the equation x2 + 7x = –3

to complete the square?

A. B. C. 49D. 196

16.Use the quadratic formula to solve the equation 5x2+ 4x – 7 = x.

17. What are the solutions to the equation3x2 – 2x – 4 = 0?

18. Simplify .

19. Simplify .

20. Write the following in simplest form: