Terms and Like Terms

A term can be made up of which of the following?

• a number

• a variable

• a coefficient with a variable

• all of the above

Answer explanation

A term can consist of a number, a variable, or a coefficient with a variable. Therefore, the correct answer is 'all of the above' as each option represents a valid component of a term.

Tags

CCSS.6.EE.A.2B

• 1

• 2

• 3

• 0

Answer explanation

The expression 2x - 3y + 8 consists of three distinct terms: 2x, -3y, and 8. Therefore, the correct answer is 3.

Tags

CCSS.6.EE.A.2B

Simplify:

3x - 5x

• 2x

• 8x

• -2x

• 15x²

Answer explanation

To simplify 3x - 5x, combine the like terms. Subtract 5x from 3x, which gives -2x. Therefore, the correct answer is -2x.

Tags

CCSS.7.EE.A.1

Simplify:

3x + 2x

• 5x

• x

• 6x

• 5

Answer explanation

To simplify 3x + 2x, combine the like terms. Adding the coefficients 3 and 2 gives 5, so the expression simplifies to 5x. Therefore, the correct answer is 5x.

Tags

CCSS.7.EE.A.1

Simplify:

2x + 1 + 7x

• 10x

• 10

• 9x + 1

• 9 + 1x

Answer explanation

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

Tags

CCSS.7.EE.A.1

How many terms are in this expression?

2x + 1 + 7x

• 1

• 2

• 3

• 4

Tags

CCSS.6.EE.A.2B

Simplify:

3x + 2x + 3y - 7y

• 5x + 10y

• 5x + 4y

• 5x - 4y

• 5x -10y

Answer explanation

Combine like terms: 3x + 2x = 5x and 3y - 7y = -4y. Thus, the expression simplifies to 5x - 4y, which matches the correct answer.

Tags

CCSS.7.EE.A.1

• -2y + 3

• 20y + 11

• 9y + 14

• 3 + 2y

Answer explanation

Combine like terms: 9y - 11y = -2y and -4 + 7 = 3. Thus, the simplified expression is -2y + 3, which matches the correct answer.

Tags

CCSS.7.EE.A.1

• 4

• 3

• 2

• 1

Tags

CCSS.6.EE.A.2B

Simplify the Expression:

3a + 7 - 2a

• 8a

• 12a

• a + 7

• 5a + 7

Answer explanation

To simplify 3a + 7 - 2a, combine like terms: (3a - 2a) + 7 = 1a + 7, which is the same as a + 7. Thus, the correct answer is a + 7.

Tags

CCSS.7.EE.A.1