Chapter 7 Test
Name _______________________________
Period # ________ Date ________________
Is the ordered pair a solution to the system?
1. 4x – 3y = -16 (-1, 4)
2. 3x – 2y = 16 (2, -5)
3x + 5y = 17
-2x + 3y = -11
1. ________________
2. ________________
Solve the system of equations by graphing. You will receive credit for your graph
And your solution provided on the space to the right.
4
x
3. y  x  4
4. y 
3. ________________
3
2
y
x 1
y  3 x  5
4._________________
3
Solve the systems using the substitution method. Show all your work.
5. y = 2x + 3
6. y = 4x – 4
4x – 3y = 5
y = 2x + 10
5. ________________
6. ________________
Solve the systems using the Elimination method. Show all your work.
7. 2x + 3y = -19
8. 6x – 5y = 26
-2x + 4y = 40
2x – 4y = 4
7. ________________
8. ________________
Solve the systems using any method.
9. 3x + 2y = -6
y = 5x – 42
10. 3x + y = 4
-x + 2y = 15
9. ________________
10. _______________
1
1
11. 𝑥 = 3 𝑦 + 2
6𝑥 − 6𝑦 = 8
12. 7x + 5y = -20
5x – 6y = 24
11. _______________
12. _______________
Graph the linear inequalities on the graph provided. Give a possible solution to each inequality.
2
13. y 
14. 2x – 3y > -6
x4
5
Solution:_________
Solution:_________
Graph the system of linear inequalities on the graph provided.
1
15. y  x
2
3
y
x4
2
a) Give an ordered pair that is in the solution
set to the system of inequalities.
Possible solution: _______________
b) Using algebra, show that the ordered pair
you chose is a solution to the system.
Graph the system of linear inequalities below. Give a possible solution to each system.
16. x  3
3
y  x 1
2
17. 2x + 3y < 12
4x + 6y > -12
Solution:_________
Solution:_________
18. You sell tickets to the Fossil Ridge Basketball game vs Fort Collins. You sell a total of 1,600 tickets.
Adult tickets are $5 each and children’s tickets are $2 each. You make a total of $6,650. How many of
each type of ticket did you sell?
a) Define your variables.
b) Write a system of equations for the situation
c) Solve the system from part (b) using any method.