Videos to help Grade 8 students learn how to use factors of a number to simplify a square root.

New York State Common Core Math Grade 8, Module 7, Lesson 5

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Common Core For Grade 8

Lesson 5 Student Outcomes

• Students find the positive solutions for equations of the form xLesson 5 Summary

Equations that contain variables that are squared or cubed can be solved using the properties of equality and the definition of square and cube roots. Simplify an equation until it is in the form of xLesson 5 Classwork

Example 1

Solve the non-linear equation:

x

Example 2

Solve the non-linear equation:

x(x - 3) - 51 = -3x + 13

Exercises 1–8

Find the positive value of that makes each equation true, and then verify your solution is correct.

1. Solve x

Explain how you solved the equation.

2. Solve and simplify: x(x - 1) = 121 - x

3. A square has a side length of 3x and an area of 324 in

7. What are we trying to determine in the diagram below?

Determine the value of and check your answer.

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