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Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

Examples, solutions, videos and lessons to help Grade 8 students learn how to solve linear equations in one variable.

A. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form*x* = *a*, *a* = *a*, or *a* = *b* results (where *a* and *b* are different numbers).

**B. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. **

Common Core: 8.EE.7b

### Suggested Learning Targets

**Solving Multi-Step Equations with Rational Numbers**

Examples:

On MOnday, David rides his bicycles m miles in 2 hours. On Tuesday, he rides three times as far in 5 hours. If his average speed for two days is 12 mi/h, how far did he ride on the second day? Round your answer to the nearest tenth of a mile.**Solving equations with rational numbers (Common Core Standard 8.EE.7b)**

**Two Step Equations in the Real World**
**Solving Equations with Variables on Both Sides**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

A. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form

Common Core: 8.EE.7b

- I can solve linear equations with rational number coefficients.
- I can solve equations whose solutions require expanding expressions using the distributive property and/or collecting like terms.

Solve linear equations with rational coefficients (Common Core Standard 8.EE.7b)

**Solving Multi Step Equations with Rational Coefficients (8.EE.7)**

Coefficient: The number multiplying by a variable.

Rational: Can be represented by a fraction - both positive and negative numbers included.

Examples:

On MOnday, David rides his bicycles m miles in 2 hours. On Tuesday, he rides three times as far in 5 hours. If his average speed for two days is 12 mi/h, how far did he ride on the second day? Round your answer to the nearest tenth of a mile.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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