Use the distributive property to identify the equivalent expression. 9 ( 8 c + 9 v − 10 ) 9\left(8c+9v-10\right) 9 ( 8 c + 9 v − 1 0 )

72 c + 81 v − 90 72c+81v-90 7 2 c + 8 1 v − 9 0

72 c + 9 v − 10 72c+9v-10 7 2 c + 9 v − 1 0

17 c + 18 v − 1 17c+18v-1 1 7 c + 1 8 v − 1

17 c + 9 v − 10 17c+9v-10 1 7 c + 9 v − 1 0

Distribute the "−" sign outside the parentheses. − ( c + v + d + 19 ) -\left(c+v+d+19\right) − ( c + v + d + 1 9 )

− c − v − d − 19 -c-v-d-19 − c − v − d − 1 9

− c + v + d + 19 -c+v+d+19 − c + v + d + 1 9

− 1 + c + v + d + 19 -1+c+v+d+19 − 1 + c + v + d + 1 9

c + v + d + 18 c+v+d+18 c + v + d + 1 8

Distribute the "−" sign that is outside the parentheses. − ( 4 d − 5 t ) -\left(4d-5t\right) − ( 4 d − 5 t )

− 4 d + 5 t -4d+5t − 4 d + 5 t

− 4 d − 5 t -4d-5t − 4 d − 5 t

4 d − 5 t − 1 4d-5t-1 4 d − 5 t − 1

− 1 + 4 d − 5 t -1+4d-5t − 1 + 4 d − 5 t

Simplify as much as possible. − 2 − 3 ( 4 x + 1 ) −2-3\left(4x+1\right) − 2 − 3 ( 4 x + 1 )

− 5 − 12 x -5-12x − 5 − 1 2 x

− 2 − 12 x − 3 -2-12x-3 − 2 − 1 2 x − 3

− 2 − 12 x + 1 -2-12x+1 − 2 − 1 2 x + 1

Simplify as much as possible. − 2 ( − 3 − 5 x + 2 x ) −2\ (−3-5x+2x) − 2 ( − 3 − 5 x + 2 x )

6 − 5 x + 2 x 6-5x+2x 6 − 5 x + 2 x

− 6 − 5 x + 2 x -6-5x+2x − 6 − 5 x + 2 x

6 + 10 x − 4 x 6+10x-4x 6 + 1 0 x − 4 x

Simplify as much as possible. − ( 3 h − 4 h + 1 ) −\left(3h-4h+1\right) − ( 3 h − 4 h + 1 )

− 3 h + 4 h − 1 -3h+4h-1 − 3 h + 4 h − 1

Simplify as much as possible. 4 ( d + 9 ) − 8 ( − 3 d − 3 ) 4(d+9)-8(−3d-3) 4 ( d + 9 ) − 8 ( − 3 d − 3 )

4 d + 36 − 8 ( − 3 d − 3 ) 4d+36-8\left(-3d-3\right) 4 d + 3 6 − 8 ( − 3 d − 3 )

4 d + 36 + 24 d + 24 4d+36+24d+24 4 d + 3 6 + 2 4 d + 2 4

Simplify as much as possible. 3 g − 5 ( − 3 g + 7 ) 3g-5(−3g+7) 3 g − 5 ( − 3 g + 7 )

18 g − 35 18g-35 1 8 g − 3 5

Simplify as much as possible. 10 ( − s + 8 ) − 5 ( 10 s − 8 ) 10(−s+8)-5(10s-8) 1 0 ( − s + 8 ) − 5 ( 1 0 s − 8 )

− 60 s + 120 -60s+120 − 6 0 s + 1 2 0

− 10 s + 80 − 50 s + 40 -10s+80-50s+40 − 1 0 s + 8 0 − 5 0 s + 4 0

Simplify as much as possible. − 6 ( − 6 q − 9 q + 1 ) − 3 q −6(−6q-9q+1)-3q − 6 ( − 6 q − 9 q + 1 ) − 3 q

− 6 + 87 q -6+87q − 6 + 8 7 q

90 q − 6 − 3 q 90q-6-3q 9 0 q − 6 − 3 q

− 87 q + 6 -87q+6 − 8 7 q + 6

What is the simplified version of this expression? − 4 ( 8 r + 3 ) -4(8r+3) − 4 ( 8 r + 3 )

− 32 r − 12 -32r-12 − 3 2 r − 1 2

32 r − 12 32r-12 3 2 r − 1 2

− 32 r + 12 -32r+12 − 3 2 r + 1 2

Combining Like Terms Quiz

50 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

2x - 5x =

-3x

3x

-3

3

Tags

CCSS.7.EE.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify:
2x + 1 + 7x

10x

10

9x + 1

9 + 1x

Tags

CCSS.7.EE.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify by combining like terms:
5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

Tags

CCSS.7.EE.A.1

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$-c+v+d+19$

$-c-v-d-19$

$-1+c+v+d+19$

$c+v+d+18$

Tags

CCSS.7.EE.A.1

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Combining Like Terms

2x - 5x =

Simplify: 2x + 1 + 7x

Simplify by combining like terms:5a + 2b - 3a + 4

Collect like terms: 4y + 8d - 2y + 3d

A coefficient is __________.

A variable can be _______?

Simplify: x + 3x + 6x + x

6 (x + y + 7)

Use the distributive property to identify the equivalent expression. 9(8c+9v−10)9\left(8c+9v-10\right)9(8c+9v−10)

Distribute the "−" sign outside the parentheses. −(c+v+d+19)-\left(c+v+d+19\right)−(c+v+d+19)

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Discover more resources for Mathematics

Simplify:
2x + 1 + 7x

Simplify by combining like terms:
5a + 2b - 3a + 4

Collect like terms:
4y + 8d - 2y + 3d

Use the distributive property to identify the equivalent expression.
$9\left(8c+9v-10\right)$

Distribute the "−" sign outside the parentheses.
$-\left(c+v+d+19\right)$