Lesson 5 Homework Practice Factoring Linear Expressions

Students will practice expanding expressions and factoring expression in this set of 40 task cards. Use each set of 20 task cards on its own to practice expanding expressions or factoring expressions, or mix and match the two sets of cards to create a set to practice both skills together.This resour. Factorize each linear expression. 1) 6x + 9 2) ±20y ± 5z 3) 15 ± 3a 4) 5) 39u ± 52v + 13 6) 10z ± 60 7) 8) 42 + 35w 9) 81n ± 36 10) 40b ± 80c ± 40d 2m + 2 Printable Math Worksheets @ www.mathworksheets4kids.com Name: Factoring Linear Expressions Sheet 1 44p + 11q. Factorize each linear expression. 1) 6x + 9 2) ±20y ± 5z 3) 15 ± 3a 4) 5) 39u ± 52v + 13 6) 10z ± 60 7) 8) 42 + 35w 9) 81n ± 36 10) 40b ± 80c ± 40d 2m + 2 Printable Math Worksheets @ www.mathworksheets4kids.com Name: Factoring Linear Expressions Sheet 1 44p + 11q.

The following steps will be useful to factor linear expressions.

Step 1 :

Find the largest common divisor for all the terms in the expression

Step 2 :

Divide each term of the expression by the largest common divisor.

Step 3:

Write the quotients inside the parenthesis.

Step 4 :

Write the largest common divisor and the parenthesis together using multiplication.

Examples

Example 1 :

Factor : 4x + 8

Solution :

Step 1 :

Find the largest common divisors for 4x and 8.

The largest common divisor for 4x and 8 is 4.

Step 2 :

Divide 4x and 8 by 4

4x / 4 = x and 8 / 4 = 2

Step 3 :

Write the quotients x and 2 inside the parenthesis and multiply by the largest common divisor 4.

4(x + 2)

Example 2 :

Factor : 16a + 64b - 4c

Solution :

Step 1 :

Find the largest common divisors for 16a, 64b and 4c.

The largest common divisor for 16a, 64b and 4c is 4.

Step 2 :

Divide 16a, 64b and 4c by 4

16a / 4 = 4a, 64b / 4 = 16b and 4c / 4 = c

Step 3 :

Write the quotients 4a, 16b and c inside the parenthesis and multiply by the largest common divisor 4.

4(4a + 16b - c)

Example 3 :

Factor : 36x - 16

Solution :

Step 1 :

Find the largest common divisors for 36x and 16.

The largest common divisor for 36x and 16 is 4.

Step 2 :

Divide 36x and - 16 by 4.

36x / 4 = 9x and -16 / 4 = -4

Step 3 :

Factoring And Expanding Linear Expressions

Write the quotients 9x and -4 inside the parenthesis and multiply by the largest common divisor 4.

4(9x - 4)

Example 4 :

Factor : 35 + 21 a

Solution :

Step 1 :

Find the largest common divisors for 35 and 21a.

The largest common divisor for 35 and 21a is 7.

Step 2 :

Divide each term by 7

35 / 7 = 5, 21a/ 7 = 3a

Step 3 :

Write the quotients 5 and 3a inside the parenthesis and multiply by the largest common divisor 7.

7 (5 + 3a)

Example 5 :

Factor : 4a - 8b + 5ax - 10bx

Solution :

Step 1 :

Since we have four terms, we can group them into two terms

= 4a - 8b + 5ax - 10bx

Common divisor for first two terms, that is 4a and 8b is 4

Common divisor for third and fourth terms, that is 5ax and 10bx is 5x.

Step 2 :

Divide first two terms by 4

4a/4 = 1a

- 8b/4 = -2b

Divide third and fourth terms by 5x

5ax/5x = a

- 10bx/5x = -2b

Step 3 :

= 4(a - 2b) + 5x (a - 2b)

= (a - 2b) (4 + 5x)

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Word problems on simple equations

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Lesson 5 Homework Practice Factoring Linear Expressions Answer Key

Ratio and proportion shortcuts

Converting repeating decimals in to fractions

Factoring Linear Expressions Answer Key

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Week of 2/10/2020

Factor : 4x + 8

Solution :

Step 1 :

Find the largest common divisors for 4x and 8.

The largest common divisor for 4x and 8 is 4.

Step 2 :

Divide 4x and 8 by 4

4x / 4 = x and 8 / 4 = 2

Step 3 :

Write the quotients x and 2 inside the parenthesis and multiply by the largest common divisor 4.

4(x + 2)

Example 2 :

Factor : 16a + 64b - 4c

Solution :

Step 1 :

Find the largest common divisors for 16a, 64b and 4c.

The largest common divisor for 16a, 64b and 4c is 4.

Step 2 :

Divide 16a, 64b and 4c by 4

16a / 4 = 4a, 64b / 4 = 16b and 4c / 4 = c

Step 3 :

Write the quotients 4a, 16b and c inside the parenthesis and multiply by the largest common divisor 4.

4(4a + 16b - c)

Example 3 :

Factor : 36x - 16

Solution :

Step 1 :

Find the largest common divisors for 36x and 16.

The largest common divisor for 36x and 16 is 4.

Step 2 :

Divide 36x and - 16 by 4.

36x / 4 = 9x and -16 / 4 = -4

Step 3 :

Factoring And Expanding Linear Expressions

Write the quotients 9x and -4 inside the parenthesis and multiply by the largest common divisor 4.

4(9x - 4)

Example 4 :

Factor : 35 + 21 a

Solution :

Step 1 :

Find the largest common divisors for 35 and 21a.

The largest common divisor for 35 and 21a is 7.

Step 2 :

Divide each term by 7

35 / 7 = 5, 21a/ 7 = 3a

Step 3 :

Write the quotients 5 and 3a inside the parenthesis and multiply by the largest common divisor 7.

7 (5 + 3a)

Example 5 :

Factor : 4a - 8b + 5ax - 10bx

Solution :

Step 1 :

Since we have four terms, we can group them into two terms

= 4a - 8b + 5ax - 10bx

Common divisor for first two terms, that is 4a and 8b is 4

Common divisor for third and fourth terms, that is 5ax and 10bx is 5x.

Step 2 :

Divide first two terms by 4

4a/4 = 1a

- 8b/4 = -2b

Divide third and fourth terms by 5x

5ax/5x = a

- 10bx/5x = -2b

Step 3 :

= 4(a - 2b) + 5x (a - 2b)

= (a - 2b) (4 + 5x)

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

Factoring Linear Expressions Worksheet

WORD PROBLEMS

HCF and LCM word problems

Word problems on simple equations

Word problems on linear equations

Trigonometry word problems

Word problems on mixed fractrions

OTHER TOPICS

Lesson 5 Homework Practice Factoring Linear Expressions Answer Key

Ratio and proportion shortcuts

Converting repeating decimals in to fractions

Factoring Linear Expressions Answer Key

SBI!

Week of 2/10/2020

Lesson 5 Homework Practice Factoring Linear Expressions

| Attachments: End of Module 3 Review Sheet.pdfGlencoe Page 371 Solving One-Step Inequalities Template.docxGlencoe Page 371 Solving One-Step Inequalities.pdfLesson 13-15B Solving and Graphing TWO Step Inequalities Homework.pdfLesson 13-15C_Word Problems Classwork-3.pdfLesson 13-15C_Word Problems Homework-2.pdf