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Transcript
```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
y = ¼x + 9
6. 10x – 4y = 12
5x – 2y = 6
7. 3x – 7y = 10
-9x + 21y = 15
8. Multiple choice: At what point do the lines defined by the equations x + y = 15 and
x – y = -1 intersect?
 12 1 
A (10, 5)
B  , 
C (-1, 15)
D (7, 8)
 5 5
In 9 – 10, solve the systems of equations by graphing.
9. y = x + 1
2
y= x+4
5
10. y = -2x - 6
y
3
x5
4
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
6x + 5y = 12
16.
4x + 3y = 23
7x – 2y = 4
17. Graph: 2x – 4y < 12
Graph the solution set to the following sets of inequalities.
18. x > 2
19.
2
y<
x–4
3
y > –2x
y < ⅓x – 2
Chapter 2, 3, and 5 Review
Solve the following equations.
20.
2
x + 2 = 20
3
21. 2(3x + 4) – 3 = -13
22.
5
2

x4 x6
23.
x 3 2
 
3 5 3
24.
3x x
 5
4 2
25.
2x  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
30. Find the x-intercept and the and y-intercept:
29. 2x + 6(x + 1) = 4(2x – 3)
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?
```
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