Systems Of Equations And Inequalities Review Worksheet

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Systems of Equations and Inequalities Review
Short Answer
1. Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding CD a month to his
collection while Nita is adding 5 CDs a month to her collection. Write and graph a system to find the
number of months after which they will have the same number of CDs. Let x represent the number of
months and y the number of CDs.
2. Find a solution to the following system of equations.
3. Solve the following system of equations by graphing.
–4x + 3y = –12
–2x + 3y = –18
4. Find the value of b that makes the system of equations have the solution (3, 5).
y = 3x – 4
y = bx + 2
Graph each system. Tell whether the system has no solution, one solution, or infinitely many
solutions.
5. y = 5x – 4
y = 5x – 5
6. y = x + 4
y – 4 = x
7. y = 2x – 3
y = –x + 3
8. Use substitution to solve the following system of equations.
d + e – f = 11
e = f + d + 5
f = 2e – 12
9. The length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 84
cm, what are its dimensions?
Solve the system of equations using substitution.
10. y = 2x – 10
y = 4x – 8

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