Combine Like Terms Practice

In the expression  x - 53 - 4x - w + 6x + 8  , -53 is a 

• Coefficient

• Constant

• Variable 

• None of these

Answer explanation

In the expression x - 53 - 4x - w + 6x + 8, -53 is a constant because it does not change and does not contain any variable. Constants are fixed values, while coefficients are numbers multiplying variables.

Tags

CCSS.6.EE.A.2B

In the expression  x - 53 - 4x - w + 6x + 8  , -4x is a 

• Term

• Variable

• Coefficient

• Constant

Answer explanation

In the expression x - 53 - 4x - w + 6x + 8, -4x is a term. A term is a single mathematical expression that can include numbers, variables, and coefficients. Here, -4x represents a term involving the variable x.

Tags

CCSS.6.EE.A.2B

In the expression  x - 53 - 4x - w + 6x + 8  , the variables are

• x, w, 8

• -53, 8

• x, w

• x, -4x, 6x, -w

Answer explanation

In the expression, the variables are x and w. The numbers -53, 8, and the coefficients -4 and 6 are constants or coefficients, not variables. Therefore, the correct answer is x, w.

Tags

CCSS.6.EE.A.2B

In the expression  x - 53 - 4x - w + 6x + 8  , the constants are

• 53, 8

• 1,-4, -1, 6

• x, w

• -53, 8

Answer explanation

In the expression x - 53 - 4x - w + 6x + 8, the constants are -53 and 8. Constants are the numbers that do not change, while x and w are variables. Thus, the correct answer is -53, 8.

Tags

CCSS.6.EE.A.2B

In the expression  x - 53 - 4x - w + 6x + 8  , the coefficient on the term "x" is

• 0

• There is no coefficient

• 1

• -1

Answer explanation

To find the coefficient of x in the expression x - 53 - 4x - w + 6x + 8, combine like terms: 1x - 4x + 6x = (1 - 4 + 6)x = 3x. The coefficient is 3, but the question asks for the coefficient of x, which is 1. Thus, the correct answer is 1.

Tags

CCSS.6.EE.A.2B

2f + f

• 3f

• 2f

• f

Answer explanation

To simplify 2f + f, combine like terms. 2f represents two parts of f, and adding another f gives a total of 3f. Therefore, the correct answer is 3f.

Tags

CCSS.7.EE.A.1

Simplify the expression: 2x + 1 + 7x 

• 10x

• 10

• 9x + 1

• 9 + 1x

Answer explanation

To simplify 2x + 1 + 7x, combine like terms: 2x + 7x = 9x. Then, add the constant 1. The final expression is 9x + 1, which matches the correct answer choice.

Tags

CCSS.7.EE.A.1

Simplify the expression: 7v + 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 14

Answer explanation

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14. Thus, the expression simplifies to 9v + 14, which matches the correct answer choice.

Tags

CCSS.7.EE.A.1

Simplify the expression:
6 + 2(7x - 3) 

• 12 + 7x

• 14x

• 14x + 3

• 9 + 7x

Answer explanation

To simplify 6 + 2(7x - 3), first distribute 2: 6 + 14x - 6. Then combine like terms: 14x. Thus, the simplified expression is 14x, which matches the correct answer.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.6

Simplify the expression: 7+3(1 - 2x) 

• 21 - 6x

• 10 - 2x

• 10 - 20x

• 10 - 6x

Answer explanation

To simplify 7 + 3(1 - 2x), first distribute 3: 7 + 3 - 6x. Then combine like terms: 10 - 6x. Thus, the correct answer is 10 - 6x.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4