CHAPTER 6 TEST REVIEW
1. Solve the system of equations by graphing. Use graph paper.
y = 3x – 4
2x + y = 1
2.
Solve the system by substitution
y = 3x – 14
y = x – 10
3. Solve the system by substitution.
–x + y = –7
y = 8 + 2x
4. Solve the system by elimination
5x + 7y = −1
4x – 2y = 22
CHAPTER 6 TEST REVIEW
5. Solve each system by elimination
a. 2x + 5y = 17
6x – 5y = –9
b. 3x + 5y = 2
x + 4y = –4
6. Set up a system of equations and solve it
The sum of two numbers is 32. Their difference is 4. Find the two numbers.
7. Set up a system of equations and solve it
A piggy bank contains 100 coins consisting of nickels and dimes. The total value of the coins is 8.50. How
many coins of each type does the bank contain?
8. Set up a system of equations and solve it.
Your school committee is planning an after-school trip by 193 people to a competition at another
school. There are 8 drivers available and two types of vehicles, school buses and minivans. The school
buses seat 51 people each, and the minivans seat 8 people each. How many buses and minivans will be
needed?
CHAPTER 6 TEST REVIEW
9. Graph each linear inequality. Make sure to shade clearly. (use graph paper)
a) y  –3x + 1
b) y

1
x 1
3
10. Solve the system of linear inequalities by graphing. Make sure to darken the overlapping area.
Use graph paper.
1
x 3
2
5
y   x 2
3
y 
11. Solve the system of linear inequalities by graphing. Make sure to darken the overlapping area.
5x  y  6
4 x 2 y  2
CHAPTER 6 TEST REVIEW
12. Word Problem for linear inequalities. Write a linear inequality and solve by graphing.
Hint: after you write the equation graph using intercepts!!
Suppose you intend to spend no more than $36 buying books. Hardback books cost $4 each and
paperbacks cost $3 each. How many of each type of book can you buy?
Find two possible solutions to the problem.
13. Two students have 220 ft of ribbon to enclose a rectangular space in the gym for a
dance floor. The dance floor has to be at least 70 ft. long. Write a system of inequalities and
graph it to find two possible dimension for the dance floor.