Combining Like Terms and Simplifying Expressions Quiz

Combine the like terms in the expression 3x + 2x - 5.

• 5x

• 7x - 5

• x^2

• 10x

Answer explanation

To combine like terms, add the coefficients of x. In this case, 3x + 2x = 5x. The constant term -5 remains unchanged. Therefore, the expression simplifies to 5x - 5. Thus, the correct choice is 5x.

Tags

CCSS.7.EE.A.1

What is the result of combining the like terms in the expression 4y - 2y + 7y?

• 13y

• 9y

• 11y

• 2y

Answer explanation

To combine like terms, add the coefficients of the same variable. In this case, 4y - 2y + 7y simplifies to 9y. Therefore, the correct answer is 9y.

Tags

CCSS.7.EE.A.1

Simplify the expression 2a + 3b - 4a + 5b.

• 7a + 8b

• 5b - 2a

• 8b - 2a

• 5a - 3b

Answer explanation

To simplify the expression 2a + 3b - 4a + 5b, combine like terms. The like terms are 2a and -4a, which simplify to -2a. The like terms 3b and 5b simplify to 8b. Therefore, the simplified expression is 8b - 2a.

Tags

CCSS.7.EE.A.1

What is the simplified form of the expression 6x - 2y + 3x - 4y?

• 9x - 6y

• 6x - 6y

• 9x - 2y

• 12x - 2y

Answer explanation

The simplified form of the expression 6x - 2y + 3x - 4y is 9x - 6y. By combining like terms, we add the coefficients of x and y separately. The correct choice is 9x - 6y.

Tags

CCSS.7.EE.A.1

Combine the like terms in the expression 5p - 3q + 2p - 7q.

• 7p - 10q

• 3p - 5q

• 8p - 14q

• 2p - 4q

Answer explanation

To combine like terms, add the coefficients of p and q separately. The correct choice is 7p - 10q.

Tags

CCSS.7.EE.A.1

Simplify the expression 4x + 2y - 3x + 5y.

• 4x + 7y

• 5x + 7y

• x + 7y

• x + 2y

Answer explanation

To simplify the expression, combine like terms. The x terms are 4x and -3x, which combine to give x. The y terms are 2y and 5y, which combine to give 7y. Therefore, the simplified expression is x + 7y. This matches the correct choice.

Tags

CCSS.7.EE.A.1

What is the result of combining the like terms in the expression 7a - 3b + 2a + 4b?

• 8a - b

• 9a + b

• 5a + b

• 10a + b

Answer explanation

To combine like terms, add the coefficients of the same variables. In this expression, 7a and 2a are like terms, so their coefficients add up to 9a. Similarly, -3b and 4b are like terms, so their coefficients add up to b. Therefore, the result is 9a + b. This matches the correct answer choice.

Tags

CCSS.7.EE.A.1

Simplify the expression 5p + 2q - 4p + 6q.

• p + 2q - 4p + 6q

• p + 8q

• 5p + 2q - 4p + 6q

• 5p + 2q - 4p - 6q

Answer explanation

To simplify the expression 5p + 2q - 4p + 6q, combine like terms. The like terms are 5p and -4p, which give us p. The like terms 2q and 6q give us 8q. Therefore, the simplified expression is p + 8q, which is the correct choice.

Tags

CCSS.7.EE.A.1

What is the simplified form of the expression 8x - 3y + 4x - 2y.

• 20x - 1y

• 12x - 5y

• 6x - 1y

• 10x - 5y

Answer explanation

The simplified form of the expression 8x - 3y + 4x - 2y is 12x - 5y. This choice combines like terms and gives the correct result.

Tags

CCSS.7.EE.A.1

Simplify the expression 3m + 2n - 5m + 4n.

• 2m + 6n

• -2m + 6n

• 7m + 6n

• -2m - 6n

Answer explanation

To simplify the expression 3m + 2n - 5m + 4n, combine like terms. The like terms are 3m and -5m, which give -2m. The like terms 2n and 4n give 6n. Therefore, the simplified expression is -2m + 6n. This matches the correct choice, -2m + 6n.

Tags

CCSS.7.EE.A.1