Unit 4, Lesson 5

Solving Any Linear Equation

Grade 8

Practice

Problem 1

Student Task Statement

Solve each of these equations. Explain or show your reasoning.

Practice

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Problem 2

Student Task Statement

Clare solves an equation, but when she checks her answer she notices that her solution is incorrect. She knows she made a error, but she can’t find it. Help Clare find the error and correctly solve the equation.

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Problem 3

Student Task Statement

Solve each equation and check your solution.

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Problem 4

ForLesson 14: More Solutions to Linear Equations

Student Task Statement

Here is the graph of a linear equation.

Select all true statements about the line and its equation.

<p>The graph of a line in the x y plane. The line crosses the y axis at 1 point 25. The line also crosses through the point negative 1 comma 1.</p><br>

One solution of the equation is .
One solution of the equation is .
One solution of the equation is .
There are exactly 2 solutions.
There are infinitely many solutions.
The equation of the line is .
The equation of the line is .

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Problem 5

ForLesson 9: Slopes Don't Have to Be Positive

Student Task Statement

A participant in a 21-mile walkathon walks at a steady rate of 3 miles per hour. He thinks, “The relationship between the number of miles left to walk and the number of hours I already walked can be represented by a line with slope .” Do you agree with his claim? Explain your reasoning.

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Solving Any Linear Equation

Practice

Problem 1

Student Task Statement

Lesson 5 Resources

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement