K12worX
Back to Exercise: Solve systems of linear equations

Exercises: Solving Systems of Linear Equations

Show all work. Verify your solutions by substituting into both original equations unless otherwise stated.

Grade 9·21 problems·~35 min·Common Core Math - HS Algebra·standard·hsa-rei-c-6
Work through problems with immediate feedback
A

Warm-Up: Review What You Know

These problems review skills you will need for solving systems of equations.

1.

Solve for xx: 3x−7=113x - 7 = 11.

2.

Which of the following is the slope-intercept form of the line 2x+y=52x + y = 5?

3.

Two lines in the coordinate plane have the same slope. What can you conclude?

B

Fluency Practice

Solve each system and verify your solution in both original equations.

Coordinate plane showing two intersecting lines y = x + 1 and y = -x + 5 meeting at (2, 3)
1.

The graph shows two intersecting lines. What is the xx-coordinate of the solution to the system?

2.

Use substitution to solve the system. What is the value of yy?

y=2x−1y = 2x - 1
3x+y=93x + y = 9

3.

Use substitution to solve the system. Express your answer as a fraction. What is the value of xx?

x−y=2x - y = 2
3x+2y=143x + 2y = 14

4.

Use elimination to solve the system. What is the value of xx?

3x+2y=113x + 2y = 11
5x−2y=135x - 2y = 13

5.

Use elimination to solve the system — you must multiply before any variable cancels. What is the value of yy?

2x+3y=72x + 3y = 7
5x−2y=85x - 2y = 8

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account
0 of 8 answered

Answer all problems to submit.