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Learning Goal

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Solve linear equations with rational number coefficients

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8.EE.C.7.b

**8.EE.C.7.b**: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

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8.EE.C.7.b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

What you'll learn

  1. Solve linear equations that contain fraction coefficients by applying inverse operations or by multiplying both sides by the least common denominator (LCD) to clear fractions
  2. Solve linear equations that contain decimal coefficients by applying inverse operations or by multiplying both sides by a power of 10 to clear decimals
  3. Apply the distributive property to expand expressions within a linear equation, then collect like terms to solve for the variable
  4. Solve multi-step equations that combine rational number coefficients, distribution, and variables on both sides, justifying each algebraic step
  5. Verify solutions by substituting the result back into the original equation and confirming both sides are equal

Slides

Step through the lesson, or watch it as a narrated video

1

Solving rational coefficient equations

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Practice

Try it on your own • 3 practice sets

2

Drill

Quick practice to build speed

3

Drill

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4

Exercise

Practice problems, checked as you go

Animated Videos

Short animated explanations of the key idea • 2 animated videos

Clearing Fractions and Decimals from an Equation

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Multi-Step Equations: Distribute, Collect, Gather

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