Combining Like Terms (Math Masters)

3c+5(c+4), Combine like terms to make an equal expression.

• 8c+20

• 3c+20

• 5c+20

• 8c+4

Answer explanation

To combine like terms in 3c + 5(c + 4), first distribute: 5(c + 4) = 5c + 20. Then combine: 3c + 5c + 20 = 8c + 20. Thus, the correct answer is 8c + 20.

-b-10+(-6), Combine like terms to make an equal expression.

• −b−16

• -b+4

• -b+6

• -16b-1

Answer explanation

To combine like terms in -b - 10 + (-6), add -10 and -6 to get -16. Thus, the expression simplifies to -b - 16, which matches the correct answer: −b−16.

After combining like terms in the following equation, what would be the result: 64x + 48 = -8x - 22 + 2x

• 64x + 48 = -10x -22

• 112 = -28x

• 70x = -80

Answer explanation

To combine like terms, simplify the right side: -8x + 2x = -6x. The equation becomes 64x + 48 = -6x - 22, which matches the correct answer choice.

Does 3x+(-9x)=-6x?

• Yes

• No

-2d+2d+7+(-10), Combine like terms to make an equal expression.

• 4d-3

• -3

• 17

• 4d+17

Answer explanation

Combine like terms: -2d + 2d = 0d, and 7 + (-10) = -3. Thus, the expression simplifies to -3, making the correct answer -3.

n -10 +9n -3=

• -3

• 9n-3

• n

• 10n -13

Answer explanation

To simplify the expression n - 10 + 9n - 3, combine like terms: n + 9n = 10n and -10 - 3 = -13. Thus, the expression simplifies to 10n - 13, which is the correct answer.

-5a+1+(-10a)+20, Simplify to create equal expression.

• 15a+30

• -15a-21

• -10a+20

• −15a+21

Answer explanation

To simplify -5a + 1 - 10a + 20, combine like terms: (-5a - 10a) + (1 + 20) = -15a + 21. Thus, the correct answer is −15a+21.

Simplify:

x²+2x+3x

• 6x

• 6x²

• x²+5x

• 7x

Answer explanation

To simplify x² + 2x + 3x, combine like terms (2x + 3x = 5x). The expression becomes x² + 5x, which matches the correct answer choice.

True or false, 8x-(-30x)=-22x?

• True

• False

Answer explanation

To simplify 8x - (-30x), we rewrite it as 8x + 30x, which equals 38x. Therefore, 8x - (-30x) = 38x, not -22x, making the statement false.

7r+4+(-10r), Simplify

• 11r-10

• 3r+4

• −3r+4

• 17r+4

Answer explanation

To simplify 7r + 4 + (-10r), combine like terms: 7r - 10r = -3r. The constant term remains 4. Thus, the expression simplifies to -3r + 4, which matches the correct answer.