7th Grade Review

Which of the following are like terms?

• 5x and 3y

• 7x and 9x

• 2a and 2b

• -3xy and 3yx

Answer explanation

Like terms are terms that have the same variables raised to the same powers. In this case, the correct choice is '7x and 9x' because they both have the variable 'x' raised to the power of 1.

Tags

CCSS.6.EE.A.2B

Combine the like terms: 4a + 5a.

• 9

• 9a

• 20a

• a

Answer explanation

The like terms 4a and 5a can be combined to give 9a, which is the correct choice.

Tags

CCSS.7.EE.A.1

Simplify the expression: 3m + 4n - 2m

• 5m + 4n

• m + 4n

• 1m + 4n

• 7m + 4n

Answer explanation

To simplify the expression 3m + 4n - 2m, we combine like terms. The 'm' terms cancel each other out, leaving us with m + 4n. Therefore, the correct choice is m + 4n.

Tags

CCSS.7.EE.A.1

Identify the like terms in the expression: 7x^2, -3x, 5x^2, 9.

• 7x^2 and -3x

• -3x and 9

• 7x^2 and 5x^2

• There are no like terms

Answer explanation

Like terms are terms that have the same variable raised to the same power. In this expression, the like terms are 7x^2 and 5x^2, as they both have the variable x raised to the power of 2.

Tags

CCSS.6.EE.A.2B

Combine the like terms: -2b + 6b - 3b.

• 1b

• b

• -b

• 11b

Answer explanation

To combine like terms, add the coefficients of the same variable. In this case, -2b + 6b - 3b simplifies to 1b. Therefore, the correct choice is 1b.

Tags

CCSS.7.EE.A.1

Simplify the expression: 5y + 9 - 2y + 1.

• 3y + 10

• 3y + 8

• 4y + 10

• 7y + 10

Answer explanation

To simplify the expression, combine like terms. The like terms are 5y and -2y, which gives 3y. The constants 9 and 1 can also be combined to give 10. Therefore, the simplified expression is 3y + 10. This matches the correct choice, 3y + 10.

Tags

CCSS.7.EE.A.1

Which terms can be combined in the expression: 3p + 4q + 7p - 2q?

• 3p and 4q

• 4q and 7p

• 3p and 7p

• 4q and -2q

Answer explanation

The terms that can be combined in the expression are 3p and 7p. These terms have the same variable (p) and can be added together to simplify the expression.

Tags

CCSS.7.EE.A.1

Combine the like terms: 8k - 3k + k.

• 6k

• 5k

• 12k

• 2k

Answer explanation

Combine the like terms by adding the coefficients of k. 8k - 3k + k = 6k. The correct choice is 6k.

Tags

CCSS.7.EE.A.1

Simplify the expression: 12z + 7 - 4z + 3.

• 8z + 10

• 8z + 4

• 15z + 10

• 15z + 3

Answer explanation

To simplify the expression, combine like terms. The terms with 'z' are 12z and -4z, which combine to give 8z. The constant terms are 7 and 3, which combine to give 10. Therefore, the simplified expression is 8z + 10. This matches the correct choice, 8z + 10.

Tags

CCSS.7.EE.A.1

Identify the like terms in the expression: -5xy, 3yx, -7xy, 2x.

• -5xy and 3yx

• 3yx and 2x

• -7xy and 2x

• -5xy and -7xy

Answer explanation

The like terms in the expression are -5xy and 3yx, as they have the same variables raised to the same powers. The correct choice is -5xy and 3yx.

Tags

CCSS.6.EE.A.2B