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The learner will simplify algebraic expressions by applying the distributive principle and combining like terms.

The Distributive Property and Combining Like Terms

Simplify $2(x-3)$ by applying the distributive principle and combining like terms if appropriate.

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

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $-3(5 - y)$ by applying the distributive principle and combining like terms if appropriate.

$-15 - 3y$
$15 + 3y$
$-15 - y$
$-15 + 3y$
$-3 + 3y$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $-(x - 4)$ by applying the distributive principle and combining like terms if appropriate.

Cannot be simplified
$-x - 4$
$x - 4$
$-x + 4$
$x + 4$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $-(5 - b)$ by applying the distributive principle and combining like terms if appropriate.

$-5 + b$
$-5 - b$
$5 + b$
Cannot be simplified
$5 - b$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $-7(2a - 4b + 7)$ by applying the distributive principle and combining like terms if appropriate.

$-14a - 28b + 7$
$-14a + 28b - 49$
$-14a + 28b + 49$
$14a + 28b + 49$
$14a - 4b + 7$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $7 - 3(x + 2)$ by applying the distributive principle and combining like terms if appropriate.

$4x + 8$
$4x - 6$
$4x + 2$
$-3x + 1$
$-3x + 13$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $4 - (3x - 2)$ by applying the distributive principle and combining like terms if appropriate.

$-3x - 2$
$-3x + 6$
$x - 2$
$-2 + 3x$
Cannot be simplified

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $6(x + 2y) + 4(x - 2)$ by applying the distributive principle and combining like terms if appropriate.

$10x + 2y - 2$
$2x + 12y + 8$
$2x + 12y - 8$
$10x + 4y$
$10x + 12y - 8$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $5(a - 3b) - 4(a + 2b)$ by applying the distributive principle and combining like terms if appropriate.

$a - 23b$
$a - 7b$
$a - b$
$a + 7b$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $-2(x - y) - 3(2x - y + 5)$ by applying the distributive principle and combining like terms if appropriate.

$-8x - 5y + 15$
$-8x + 5y + 15$
$-8x + 5y - 15$
$8x + 5y + 15$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $\frac{1}{2}(x-8)$ by applying the distributive principle and combining like terms if appropriate.

$\frac{1}{2}x -8$
$\frac{1}{2}x - \frac{1}{16}$
$\frac{1}{2}x - 4$
$\frac{1}{2}x - 16$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $-\frac{3}{8}(24 - 8x)$ by applying the distributive principle and combining like terms if appropriate.

$-9 - 3x$
$-64 + 3x$
$-64 - 8x$
$-9 + 3x$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $\frac{1}{4}(x - y) - \frac{1}{2}(x + y)$ by applying the distributive principle and combining like terms if appropriate.

$-\frac{1}{4}x - \frac{3}{4}y$
$\frac{1}{4}x + \frac{1}{4}y$
$\frac{3}{4}x - \frac{3}{4}y$
$-\frac{1}{4}x - \frac{1}{4}y$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $a(a + b) + a$ by applying the distributive principle and combining like terms if appropriate.

$2a + ab + a$
Cannot simplify
$a^{2} + ab + a$
$3a + ab$

Question 1 of 10

The Distributive Property and Combining Like Terms

Simplify $1.2(x+3) + 0.2$ by applying the distributive principle and combining like terms if appropriate.

$1.2x + 3.8$
$1.2x + 0.2$
$1.2x + 3.84$
$1.2x + 3.6$
$1.2x + 3.4$

Question 1 of 10

Author

Kevin Ritzman

Published: 2/24/2014

Last Updated: 2/24/2014

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The Distributive Property and Combining Like Terms by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.

The Distributive Property and Combining Like Terms

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The Distributive Property and Combining Like Terms

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The Distributive Property and Combining Like Terms

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Question 1 of 10

The Distributive Property and Combining Like Terms

Question 1 of 10

The Distributive Property and Combining Like Terms

Correct!

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The Distributive Property and Combining Like Terms

Incorrect

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Question 1 of 10

The Distributive Property and Combining Like Terms

Question 1 of 10

The Distributive Property and Combining Like Terms

Correct!

Correct Answer

Question 1 of 10

The Distributive Property and Combining Like Terms

Incorrect

Your Answer

Correct Answer

Question 1 of 10

The Distributive Property and Combining Like Terms

Question 1 of 10

The Distributive Property and Combining Like Terms

Correct!

Correct Answer

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The Distributive Property and Combining Like Terms

Incorrect

Your Answer

Correct Answer

Question 1 of 10

The Distributive Property and Combining Like Terms

Question 1 of 10

The Distributive Property and Combining Like Terms