Algebra 1 – Chapter 7
Graded in-class assignment
Name: _________________________________
Grade: _________/74 points
You may use your class notes and textbook to complete this assignment. You may not use an electronic device to access
your class notes, nor may you share notes with a classmate. This assignment is due at the end of the block today.
Solving Linear Systems by Graphing
Use the graph to solve the linear system. Write your answer as an ordered pair (4 points each)
Solution: _____________________
Solution: _____________________
Solution: _____________________
Solution: _____________________
Which ordered pair is a solution to the linear system? (4 points)
x  y  2
7x  4 y  8
A. (-2, 0)
B. (0, -2)
C. (2, 0)
D. (0, 2)
Graph the system of equations and identify the solution (6 points)
y  2x  4
1
y   x 1
2
Solution: _________________
Graph the system of equations and identify the solution (6 points)
y  3x  4
y2
Solution: _________________
Solve Linear Systems by Elimination
Solve by elimination. You may need to multiply one or both equations first in order to produce a variable with opposite
coefficients. Write your solution as an ordered pair. (6 points each)
x  2 y  13
x  2 y  7
4 x  5 y  14
4 x  y   6
3x  y  1
2x  y  9
x  6 y  28
2 x  3 y  19
What type of solution does each system of equations have? Circle one. (4 points each)
3x  4 y  4
6 x  8 y  8
3x  4 y  4
3x  4 y  20
3 x  4 y  4
3 x  4 y  20
Circle one:
One solution
No solutions
Infinitely many solutions
Circle one:
One solution
No solutions
Infinitely many solutions
Circle one:
One solution
No solutions
Infinitely many solutions
System of Equations Word Problem (6 points)
The sum of two numbers is 52. The difference of the two numbers is 6. What are the two numbers? Circle your
answers.