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Graphing and Solving Systems of Inequalities

1. Graph the inequality.
y  1

2. Graph the inequality.
y  3x

3. Given f(x) = 4x + 1, find f(3).

4. Given f(x) = 5x2 - 3x + 1, find f(-2).
A) -13
B) 15
C) -25
D) 27

5. Given f(x) = x2 + 5x + 3, find f(0).

6. Rewrite the equation 4x - 10y = 11 as a function of x.
A)

B)

C)

D)

7. Graph f(x) = -2x + 4.

8. Solve the system by graphing.
x - y = 5
x + y = 3

9. Solve the system by graphing.
x + 2y = 4
x + 2y = -2

10. Solve the system by addition.
5x - 3y = 13
4x - 3y = 11

11. Solve the system by addition.
x + y = 7
x - y = 3

12. The sum of two numbers is 42. Their difference is 6. What are the two numbers?

13. Solve the system by substitution.
x + y = 12
y = 2x

14. Solve the system by addition or substitution.
3x + 6y = 0
x =

15. Solve the following system of linear inequalities by graphing.
3x - y < 2
x + y > 2

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Solution Summary

Graphing and solving systems of inequalities are investigated. The solution is detailed and well presented.

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