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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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Grade 8 · Unit 5~46 min2 topics · 3 videos

Systems of Equations

A system is two equations at once. You'll solve systems by graphing to find the intersection point, then use algebra (substitution and elimination) for exact answers.

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Unit menu

Unit 5: Systems of Equations

Your progress

0 of 2 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice

Unit menu

Unit 5: Systems of Equations

Your progress

0 of 2 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Work through these

Topics in this unit

Each topic is a short page: read the walkthrough, watch the video, try the practice, then take a quick quiz. Go in order or jump to what you need.

1
Systems by Graphing

The solution is the point where the two lines cross.

  • 1 video
  • Practice
  • 2-question quiz
  • ~22 min
2
Solving Systems Algebraically

Use substitution or elimination for exact answers.

  • 2 videos
  • Practice
  • 2-question quiz
  • ~24 min
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Goals

Learning objectives

By the end of this unit, you should be able to:

  • ✓Understand that a solution to a system makes both equations true.
  • ✓Solve systems of linear equations by graphing.
  • ✓Solve systems using substitution and elimination.
  • ✓Recognize systems with one solution, no solution, or infinitely many.

Key vocabulary

System of equations
Two or more equations considered together.
Solution of a system
The point (x, y) that satisfies every equation.
Substitution
Replacing a variable with an equivalent expression to solve.
Elimination
Adding or subtracting equations to remove a variable.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

Khan Academy

Systems of equations practice

Open resource
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
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