Combining Like Terms

Combining Like Terms

By Lindsay Mendoza

Combining Like Terms

Like terms, such as 7x and 2x in this expression, can be grouped together because they have the same variable part raised to the same exponent. Often, like terms have different coefficients. When you combine like terms, you change the way an expression looks but not the value of the expression.

Multiple Choice

Simplify the Expression.

• 13

• 5

• 5x

• 13x

Multiple Choice

Simplify the Expression.

• 20f

• 12f + 8

• 24f + 8

• 28 + f

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

Combine like terms
3x + 2x + 11y - 7y

• 5x + 10y
• 5x - 4y
• 5x + 4y
• 5x -10y

Multiple Choice

3x-5x

• 2x
• 8x
• -2x
• 15x²

Multiple Choice

Which expression is equivalent to
v + v + v + v + v?

• 5v
• v⁵
• v + 5
• v5

Multiple Choice

Simplify by combining like terms:
4x² - 3x + 11 -2x

• 4x² - 5x + 11
• 11x + 11
• 16x² - 5x + 11
• 10x²

Multiple Choice

Simplify: $$7y^2\ -5y\ +\ 9y\ -\ 5y^2$$  

• $$6y^{2\ }$$  

• $$2y^{2\ }+\ 4y\$$  

• $$12y^{2\ }+\ 14y$$  

• Can't be simplified

Multiple Choice

Simplify: 12b + 4b² - 10b

• 4b² + 2b

• 4b² + 22b

• 6b²

• Can't be simplified

Multiple Choice

Simplify: 4f² + 3h - g + f

• 5f² + 3h - g

• 7fhg

• 4f² + 3hgf

• Can't be simplified

Multiple Choice

Simplify: 5p + 7y + 2t - 3p + 4y

• 15pyt

• 2p + 11y + 2t

• 8p + 11y + 2t

• Can't be simplified

Multiple Choice

a + a + a + a

• a + 4 
• 4a 
• a to the fourth power 
• 4a + 4 

Multiple Choice

y + x + y + y + x 

• 2 + 3 
• x + y 
• 2x + 3y 
• 5xy 

Multiple Choice

Simplify.

x + 40 + x - 19

• -2x - 21

• 21

• -2x + 21

• 2x + 21

Multiple Choice

22n + 15 + 1 - 23n

• -2n -16

• -n - 16

• -n +16

• 2n + 16

Multiple Choice

Which expression is equivalent to
v + v + v + v + v?

• 5v
• v⁵
• v + 5
• v5

Multiple Choice

-6k + 7k=

• k
• -k
• 12k
• -12k

Multiple Choice

Simplify by combining like terms:

$$7b-3b+4f$$  

• $$10b+4f$$  

• $$8b$$  

• $$4b-4f$$

• $$4b+4f$$   

Multiple Choice

Simplify by combining like terms:

$$8x+4x-3-3$$  

• 6

• $$6x$$  

• $$4x-6$$  

• $$12x-6$$  

Multiple Choice

Simplify by combining like terms:

$$7f+8g+4f+3f+6f+2g$$  

• $$20f+11g$$  

• $$21f+10g$$  

• $$20f+10g$$  

• $$22f+10g$$  

Multiple Choice

Like terms have the same _____ and the same _____.

• variables and numbers
• signs and numbers
• variables and exponents
• variables and signs

Multiple Choice

How many terms does this expression have?
3x + 5y - 17 - 2y + x

• 3
• -17
• 5
• 1