Lesson 6 homework practice add linear expressions answer key

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1 Lesson 6 Add Linear Expressions
Unit 3A Expressions Lesson 6 Add Linear Expressions

2 Lesson 6: Add Linear Expressions
Objective: Swbat add linear expressions. Do Now: 7x + 3 – 4x – x 5a + 3a 6x – x 12x + 15 – 13 – 12x -5 + 3d + 6 – 4d

3 Lesson 6: Add Linear Expressions
Definition Linear Expression – is an algebraic expression in which the variable is raised to the first power and not multiplied to another variable or divided.

4 Lesson 6: Add Linear Expressions
Linear Expression Nonlinear Expression x 5xy 3x 3x2 2x – 1 x4 - 7 x + 2 4/x

5 Lesson 6: Add Linear Expressions
Real-World Example Luke has 20 math problems and 11 science questions for homework. Chris has 23 math problems and 10 science questions for homework. 1. Complete the expression for Luke. ____ Math problems + ____ Science problems 2. Complete the expression for Cameron. 3. Complete the expression for the total of math and science problems.

6 Lesson 6: Add Linear Expressions
Real-World Example Suppose Luke has x math problems and 5 science questions for homework and Cameron has x math problems and 6 science questions. 1. Complete the expression for Luke. ____ Math problems + ____ Science problems 2. Complete the expression for Cameron. 3. Complete the expression for the total of math and science problems.

7 Lesson 6: Add Linear Expressions
(2x + 3) + (x+4) = (2x – 1) + (x – 5) = (3x – 5) + (2x – 3) =

8 Lesson 6: Add Linear Expressions
4.) (2x – 4) + (3x – 7) = 5.) (2x – 3) + (-x – 4) = 6.) 2(x+3) + (3x + 1) = 7.) 5(x – 4) + (2x – 7) =

9 Lesson 6: Add Linear Expressions
8.) 6(x + 7) + (x + 3) = 9.) (12x + 19) + 2(x – 10)=

10 Lesson 6: Add Linear Expressions
Write an expression in simplest form to represent the perimeter of the triangle. Find the perimeter if the value of x is 5 cm. (3x -3) cm (2x+9) cm (5x ) cm

11 Lesson 6: Add Linear Expressions
A rectangle has side lengths (x+4) and (2x-2) ft. Write an linear expression in simplest form to represent the perimeter. Find the perimeter if the value of x is 7ft.

12 Classwork Guided Practice #1 -4 Independent Practice #1 – 11
Problem Solving #

13 Closure Question: What is a linear expression? Exit Ticket Homework: Practice #1 - 18

14 Exit Ticket Add the linear expressions. (-6x + 5) + (4x – 7)

15 Homework

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Grade 7 McGraw Hill Glencoe - Answer Keys

Chapter 5: Expressions; Lesson 6: Add Linear Expressions

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Independent Practice

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Question 1
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\((4x + 8) + (7x + 3) =\)
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Question 2
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\((-3x + 7) + (-6x + 9) =\)
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Question 3
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\((x - 10) + (3x - 6) =\)
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Question 4
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\((-3x - 7) + (4x + 7) =\)
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Question 5
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\(2(x + 14) + (2x - 14) =\)
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Question 6
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\((11x - 8) + 7(x - 1) =\)
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Question 7
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Write a linear expression in simplest form to represent the perimeter of the triangle at the right. Then find the perimeter if the value of x is 10 millimeters.
\(\text{mm}\)

Question 8
(request help)
A rectangle has side lengths (2x - 5) meters and (2x + 6) meters. Write a linear expression in simplest form to represent the perimeter. Find the perimeter if the value of x is 12 meters.
\(\text{m}\)