advertisement

**Name_________________________________ Algebra 1 Unit 6 Review **

1. Is (-2, 3) a solution to the following system? y = -x + 1 y = ½x + 4 2. Is (4, -1) a solution to the following system? 3x + y > 8 x – 2y < 4

**For problems 3 - 6 state determine how many solutions the system has. **

3. y = 3x + 1 y = 3x + 1 4. y = ⅓x + 6 y = ⅓x – 2 5. y = ½x – 4 6. 10x – 4y = 12 y = ¼x + 9 5x – 2y = 6 8.

* Multiple choice: *

At what point do the lines defined by the equations x + y = 15 and x – y = -1 intersect? 7. 3x – 7y = 10 -9x + 21y = 15 A (10, 5) B 12 5 , 1 5 C (-1, 15) D (7, 8)

**In 9 – 10, solve the systems of equations by graphing. **

9. y = x + 1 10 . y = -2x - 6 y = 2 5 x + 4

*y*

3 4

*x*

5

**In 11 - 13, solve the systems of equations by the substitution method. **

11. x = y – 3 4x + 2y = 48 12. 3x – 4y = -11 y = 2x - 1 13. y = 4x – 13 y = -x – 3

**In 14 - 16, solve the systems of equations by the addition/elimination method. **

14. 2x + 4y = -14 3x – 4y = 9 15. 3x – 2y = 6 16. 4x + 3y = 23 6x + 5y = 12 7x – 2y = 4

**Chapter 2, 3, and 5 Review**

Solve the following equations. 20. 2 3 x + 2 = 20 21. 2(3x + 4) – 3 = -13 22.

*x*

5 4

*x*

2 6

*x*

23. 3 3 5 2 3 24. 3

*x*

4

*x*

2 5 25. 2

*x*

1 7 26.

*x*

8 5 9 For problems 27 – 29, state whether the equation has one solution, no solutions, or if it is an Identity (Infinitely Many Solutions) 27. 4(x – 3) = 4x – 12 28. 10x – 3x – 9 =4 29. 2x + 6(x + 1) = 4(2x – 3) 30. Find the

**x-intercept**

and the and

**y-intercept**

: 2x + 3y = 12 31. Find the

**slope**

and

**y-intercept**

: x – 4y = 8 32. Write the equation for the line containing the point (6, -1) that has slope of 1 2 . 33. Find the equation of the line that passes through the points (2, 7) and (-4, -5). 34. Find the equation of the line that passes through the point (-2, -7) that is parallel to the line y = 3x + 1. 35. Are the two lines 3x – y = -7 and x + 3y = 6 parallel or perpendicular?