Unit 4 - Lesson 4 - Grade 8: Illustrative Mathematics

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9 Questions
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Grade 8 Unit 4
Lesson 4: More Balanced Moves
CC BY 2021 Illustrative MathematicsĀ®
Grade 8 Unit 4
Lesson 4: More Balanced Moves
CC BY 2021 Illustrative MathematicsĀ®
Lesson: More Balanced Moves

Different Equations? (Warm Up)

Equation 1

x - 3 = 2 - 4x
1.

Which of these have the same solution as Equation 1? Be prepared to explain your reasoning.

Equation A:
2x - 6 = 4 - 8x

Equation B:
x - 5 = -4x

Equation C:
2(1 - 2x) = x - 3

Equation D:
-3 = 2 - 5x

Step by Step by Step by Step

Here is an equation, and then all the steps Clare wrote to solve it:

Here is the same equation, and the steps Lin wrote to solve it:

2.

Are both of their solutions correct? Explain your reasoning.

3.

Describe some ways the steps they took are alike and different.


Mai and Noah also solved the equation, but some of their steps have errors. Find the incorrect step in each solution and explain why it is incorrect.
4.

Find the incorrect step in Mai's solution and explain why it is incorrect.

5.

Find the incorrect step in Noah's solution and explain why it is incorrect.

Make Your Own Steps

Solve these equations for x.
6.

7.

8.

Cool Down: Mis-Steps

Mis-Steps

9.

Lin solved the equation 8(x - 3) + 7 = 2x(4 - 17) incorrectly. Find the errors in her solution. What should her answer have been?