Algebra 1
Name: _________________________________
Unit 4: PQ1
Date: _________________ Period: _________
“PRACTICE” QUIZ 1… Solving Linear Systems of Equations by Graphing and Algebraically
Section 1: Graph each system and identify the solution.
__________ 1)
__________ 4)
y  1
x3
 4 y  12 x  8  0
y2 x
y  x  3
__________ 2)
__________ 5)
1
x2
2
3
y  x2
2
y
__________ 3)
1
y   x 1
3
3 y  3x  6
__________ 6)
x y 4
x y 0
y  x
Section 2: Given the graph of a system of equations, identify the solution.
__________ 7)
__________ 8)
__________ 9)
Section 3: Decide whether the ordered pair is a solution the system of linear equations. Write Yes or No.
__________ 10)
System:
4 x  y  4
 x  y 1
Solution: (-1 , 0)
Section 4: Solve each system using the “Substitution Method.” Check your answers!
____________ 11)
____________ 13)
x y 8
y  3x
x  4
 2 x  y  18
____________ 12)
____________ 14)
y  5  2x
3x  2 y  11
4 x  y  11
2 x  2 y  18
Section 5: Solve each system using the “Combinations / Elimination Method.” Check your answers!
____________ 15)
____________ 17)
x y 4
x  y  10
7 x  2 y  10
 14 x  2 y  32
____________ 16)
____________ 18)
x  y  5
x  2y  4
2
x  70  y
3
1
2
x  y  43
3
3
Section 6: Short Answer. Use complete sentences.
19) Find and describe the error in the following “combinations / elimination” work.
Response:
20) How many answers does the following system of equations have? One, two, none, or infinitely many? Explain
your answer.
Response: