Practice Test:
Ch 7: Systems of Linear Equations
1. Which ordered pair is a solution to
the linear system:
Name __________________________
Date _______________ Per _______
3. Solve by linear combinations.
2x – 2y = -8
x + 2y = -1
x+y=0
3x – y = -4
A. (0,4)
B. (-3, 1)
A. (1,1)
B. (-1,1)
C. (-14,1)
D. no solution
4. Solve by linear combinations.
C. (-1,-1)
2x – y = 9
3x + y = 6
D. (1,-1)
A. (0,-9)
2. Which system of equations has no
solution?
A. 5x – 8y = -3
5x + 8y = -3
B. 5x – 8y = -3
10x – 16y = -6
C. 5x – 8y = -3
5x – 8y = -8
B. (15,-3)
C. (3,-3)
D. no solution
5. Use substitution to solve the linear
system.
y=x+3
y = 2x
A. (3,6)
B. (4,8)
D. 5x – 8y = -3
3x – 8y = -8
C. (1,4)
D. (-3,-4)
6. Find the solution of the linear
system graphically.
x+y=3
3x – y = -7
7. Use linear combination method to
tell how many solutions the system
has.
3x + 2y = 10
-3x – 2y = -10
A. 1 Solution
B. Infinite Solutions
C. No Solution
8. Find the solution to the system by
graphing?
x + y = -4
and
3x – y = 8
Solution: _________
9. Use substitution to solve the
linear system.
y=x–6
y = 2x
Solution: _________
10. Solve by linear combinations.
2x + 4y = 10
x – 4y = -7
Solution: _________
11. Solve by linear combinations.
3x – 4y = 21
4x + 2y = 6
Solution: _________
12. Solve by linear combinations.
3x – 5y = 7
8x + 10y = -28
Solution: _________
13. Express each equation in slopeintercept form. Then determine,
without solving the system, whether
the system of equations has exactly
one solution, no solution, or an
infinite number of solutions.
-2x + 4y = -4
3x – 6y = 6
14. Use linear combinations to
determine if the system has no
solutions, one solution, or infinite
solutions.
4x + 3y = 17
12x + 9y = 49
15. The sum of the ages of Petra and
her mother is 49. Her mother is 16
years more than twice as old as
Petra. How old are Petra and her
mother?
Ch 7 Practice Test:
Systems of Linear Equations
1.
2.
3.
4.
5.
B
C
B
C
A
6. (-1,4)
7. B
8. (1,-5)
9. (-6,-12)
10. (1,2)
11. (3,-3)
12. (-1,-2)
13. Infinite Solutions
14. No Solution
15. Petra: 11 yrs old
Mom: 38 yrs old