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Add Linear Expressions Section 5.6

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Add Linear Expressions The table below gives some example of expressions that are linear and some examples of expressions that are not linear. Linear ExpressionsNumber Expressions 5x 3x + 2 x - 7 You can add linear expression with or without models. Sometimes you will need to use zero pairs.

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Page 1: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Add Linear ExpressionsSection 5.6

Page 2: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

VocabularyLinear Expression- an _______ expression in which the variable is raised to the first power.

Page 3: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Add Linear ExpressionsThe table below gives some example of expressions that are linear and some examples of expressions that are not linear.

You can add linear expression with or without models. Sometimes you will need to use zero pairs.

Page 4: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Examples• 1. (3x - 5) + (2x - 3)

• 2. (2x - 4) + (3x - 7)

Page 5: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Examples• 3. 6(x + 7) + (x + 3)

• 4. (12x + 19) + 2(x - 10)

Page 6: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Word Problems• 5. A rectangle has side lengths (x+4)

feet and (2x-2) feet. Write a linear expression in simplest form to represent the perimeter. Find the perimeter if the value of x is 7 feet.

Page 7: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Word Problems • 6. Write a linear expression in simplest

form to represent the perimeter of the pentagon. Then find the perimeter if the value of x is 3 yards.

(3x) yd (3x) yd

(2x) yd(2x) yd

(x + 4) yd

Page 8: Add Linear Expressions Section 5.6. Vocabulary Linear Expression - an _______ expression in which the variable is raised to the first power

Essential Question• Explain how adding linear expressions is

similar to simplifying expressions.

• ______________________________________________________________________________________________________________________________________________________________________________________________________________________________


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