Name:_____________________
Date:___________________ Period:______
Algebra I Chapter 7 Practice Test
Is the ordered pair a solution to the system?
1. -2x + 3y = 5
3x + 2y = 12
(2, 3)
2. 2x + 5y = 23 (-1, 5)
-2x + 3y = 1
1._________________
2._________________
Solve the system of equations by graphing.
3. -2x + 2y = 4
6x + 3y = 15
4. –x + y = 4
2x + y = 7
3._________________
4._________________
Solve the systems using the substitution method. Show all your work.
5. 2x + 3y = 4
x - 2y = -5
6. 4x + y = -2
-2x – 3y = 1
5._________________
6._________________
Name:_____________________
Date:___________________ Period:______
Solve the systems using the elimination method. Show all your work.
7. 7x + 3y = -9
-x + 3y = 15
8.
6x – 18y = -27
2x - 6y = -9
7._________________
8._________________
Solve the systems using any method.
9. 2x + 2y = 14
y = -2x + 8
10. 9x + y = 5
-4x + 3y = -16
9._________________
10.________________
6
11. y = − x + 3
5
12x + 10y = -5
12. 4x + 5y = 9
5x + 4y = 9
11.________________
12.________________
Name:_____________________
Date:___________________ Period:______
Graph the Linear Inequalities on the graph provided. Give a solution for each.
1
13. 𝑦 + 5 ≤ (𝑥 + 16)
4
Solution:_________
14.
4x  5y  10
Solution:_________
Graph the system of Linear Inequalities on the graph provided.
15. y  x  3
a) Give an ordered pair solution to the system of inequalities.
y  x 1
b) Using algebra, show that your ordered pair is a solution to
the system of inequalities.
16. 2x  y  3
xy5
a) Give an ordered pair solution to the system of inequalities.
b) Using algebra, show that your ordered pair is a solution to
the system of inequalities.
Name:_____________________
Date:___________________ Period:______
17. Graph the system of inequalities below.
2x  y  4
3x  y  3
y  4
18. You sell tickets to a wrestling match. Adult tickets are $6 each and children’s tickets are $3 each. You sell a total of 30 tickets
and make $153 total. Write a system of equations to determine how many of each ticket you sold.
a) Define your variables.
b) Write a system of equations for the situation.
c) Solve the system from part (b) using any method.