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Learning Goal
Part of: Solve linear equations in one variable — 2 of 2 container items
Solve linear equations with rational number coefficients
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
- 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
- Solve linear equations that contain decimal coefficients by applying inverse operations or by multiplying both sides by a power of 10 to clear decimals
- Apply the distributive property to expand expressions within a linear equation, then collect like terms to solve for the variable
- Solve multi-step equations that combine rational number coefficients, distribution, and variables on both sides, justifying each algebraic step
- Verify solutions by substituting the result back into the original equation and confirming both sides are equal
Prerequisites
Slides
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Slides
In development
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