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Back to Details Practice: Apply properties of operations to add, subtract, expand, and factor linear expressions with rational coefficients. (NC.7.EE.1) Open in Editor

Practice: Apply properties of operations to add, subtract, expand, and factor linear expressions with rational coefficients. (NC.7.EE.1)

Targeted remediation practice

            📚 Mathematics
                            🎓 Grade 7
                                        ⏱️ 25 minutes
                    

Learning Objectives

Apply properties of operations to add, subtract, expand, and factor linear expressions with rational coefficients.

            Progress
            4 sections
        

1
Practice set 1

Question 1

Factor out the greatest common factor: $24x + 12$

$6(4x + 2)$
$6(4x + 12)$
$6x(4 + 2)$
$24(x + 2)$

Question 2

Expand: $3(x - 8)$

$3x - 24$
$3x - 8$
$3x + 24$
$-5x$

Question 3

Factor out the greatest common factor: $16x + 8$

$4(4x + 8)$
$16(x + 2)$
$4x(4 + 2)$
$4(4x + 2)$

Question 4

Expand: $5(x - 7)$

$5x - 7$
$5x + 35$
$5x - 35$
$-2x$

Question 5

Factor out the greatest common factor: $20x + 8$

$20(x + 2)$
$4x(5 + 2)$
$4(5x + 2)$
$4(5x + 8)$

2
Practice set 2

Question 6

Expand: $5(x - 4)$

$5x - 20$
$5x - 4$
$1x$
$5x + 20$

Question 7

Factor out the greatest common factor: $12x + 12$

$6(2x + 2)$
$12(x + 2)$
$6x(2 + 2)$
$6(2x + 12)$

Question 8

Expand: $3(x - 8)$

$-5x$
$3x + 24$
$3x - 8$
$3x - 24$

Question 9

Factor out the greatest common factor: $12x + 12$

$6x(2 + 2)$
$12(x + 2)$
$6(2x + 12)$
$6(2x + 2)$

Question 10

Expand: $3(x - 7)$

$3x + 21$
$3x - 21$
$-4x$
$3x - 7$

3
Practice set 3

Question 11

Factor out the greatest common factor: $30x + 10$

$30(x + 2)$
$5(6x + 10)$
$5(6x + 2)$
$5x(6 + 2)$

Question 12

Expand: $5(x - 6)$

$5x - 30$
$5x - 6$
$5x + 30$
$-1x$

Question 13

Factor out the greatest common factor: $20x + 8$

$4(5x + 2)$
$4x(5 + 2)$
$20(x + 2)$
$4(5x + 8)$

Question 14

Expand: $5(x - 7)$

$5x - 7$
$5x - 35$
$5x + 35$
$-2x$

Question 15

Factor out the greatest common factor: $12x + 12$

$6x(2 + 2)$
$6(2x + 2)$
$12(x + 2)$
$6(2x + 12)$

4
Practice set 4

Question 16

Expand: $5(x - 2)$

$5x - 10$
$5x + 10$
$5x - 2$
$3x$

Question 17

Factor out the greatest common factor: $15x + 10$

$5x(3 + 2)$
$5(3x + 2)$
$15(x + 2)$
$5(3x + 10)$

Question 18

Expand: $3(x - 2)$

$3x - 6$
$3x + 6$
$1x$
$3x - 2$

Question 19

Factor out the greatest common factor: $9x + 6$

$3(3x + 2)$
$3x(3 + 2)$
$9(x + 2)$
$3(3x + 6)$

Question 20

Expand: $4(x - 8)$

$-4x$
$4x + 32$
$4x - 8$
$4x - 32$

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