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6-8 Accelerated 7 Unit 4 Lesson 3

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 •Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 4, Lesson 3

Combining Like Terms (Part 1)

Accelerated 7

Practice

Problem 1

Andre says that \(10x+6\) and \(5x+11\) are equivalent because they both equal 16 when \(x\) is 1. Do you agree with Andre? Explain your reasoning.

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Problem 2

Lesson 3 Resources

Student Materials

Select all expressions that can be subtracted from \(9x\) to result in the expression \(3x+5\).

\(\text-5+6x\)
\(5-6x\)
\(6x+5\)
\(6x-5\)
\(\text-6x+5\)

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Problem 3

Select all the statements that are true for any value of \(x\).

\(7x + (2x+7) = 9x+7\)
\(7x + (2x - 1) = 9x + 1\)
\(\frac12 x+(3 - \frac12 x)=3\)
\(5x - (8 - 6x) =\text-x-8\)
\(0.4x - (0.2x+8) =0.2x-8\)
\(6x - (2x -4)=4x+4\)

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Problem 4

ForLesson 1: Subtraction in Equivalent Expressions

Select all the expressions that are equivalent to \(10-3w\).

\(3w-10\)
\(\text- 3w + 10\)
\(\text- 10+3w\)
\(10+3w\)
\(10 + \text-3w\)

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Problem 5

ForLesson 13: Solutions of Inequalities

Here is an inequality: \(\text-3x > 18\).

List some values for \(x\) that would make this inequality true.
How are the values that make the inequality \(\text-3x \geq 18\) true different from the values that make \(\text-3x > 18\) true?

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Problem 6

ForLesson 12: Alternate Interior Angles

Angles \(C\) and \(D\) are complementary. The ratio of the measure of angle \(C\) to the measure of angle \(D\) is \(2:3\). Find the measure of each angle. Explain or show your reasoning.

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