COmbining Like Terms and Distributive Property

Combining Like Terms

Algebraic Expressions

Like Terms

• "Like terms" are terms whose variables (and their exponents such as the 2 in x²) are the same.

• In other words, terms that are "like" each other.

Multiple Choice

A _______ is an unattached number.

• constant

• exponent

• like term

• coefficient

Multiple Choice

A _______ is a letter that represents an unknown number.

• constant

• variable

• exponent

• coefficient

Multiple Choice

A ________ is the number in front of the variable.

• exponent

• constant

• variable

• coefficient

Multiple Choice

When the terms have the same variable and the same exponents they are considered to be _________.

• equal

• like terms

• unlike terms

• not equal

Multiple Choice

3y + 2 + 3x - y + 5x

• 12xy

• 4y + 2 + 8x

• 8x + 2y + 2

• -2x + 2y + 2

Multiple Choice

x + x

• 2x

• $$x^2$$  

• 2 + x

• x - 2

Multiple Choice

Which is not a Like Term?

• 2x

• -13x

• -13

• -2x

Open Ended

10x + 2y + 4x

Open Ended

8y - 2y

Multiple Choice

3c + 7d + 9c - 2d

• 12c + 5d

• 12c + 9d

Multiple Choice

10x² + 5x - 3x² + 7x

• 13x² + 12x

• 7x² + 12x

Multiple Choice

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Multiple Choice

d + d + d + 3 + 2

• 3d + 5

• d + 5

• 2d + 7

• 3d + 4

Multiple Choice

v + v + v + v + v

• 5v

• v⁵

• v + 5

• v5

Multiple Choice

2r + 2 + 5r - 2 + r 

• 8r 
• 8r - 4 
• 12r 
• 7r + 4 + r 

Multiple Choice

3 + 5x + 8 - 2x

• -3x² - 11

• 3x² + 11

• 11 - 3x

• 11 + 3x

Multiple Choice

-8x + 4x

• -12x

• -4x

• 4x

• 12x

Multiple Choice

-4x - 10x

• -14
• 6x
• -6x
• -14x

Multiple Choice

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

Simplify by using the Distributive Property:

4(2x -5)

• 8x - 5

• 8x - 20

• 8x + 20

• 8x +5

Multiple Choice

What is the simplified version of this expression?  5(a+6)?

• 5a+6

• a+30 

• 5a+30

• 5a−30 

Multiple Choice

What is the simplified version of this expression?  7(5x -1 )

• 35x+ 7

• 35x - 7

• 35x - 1

• -35x - 7

Multiple Choice

Use distributive property to solve:

3(2c - 5)

• 3c + 15

• 6c - 15

• 9c - 5

• 6c + 15