Combining Like Terms in Algebraic Expressions

These have the the same variable and can, therefore, be combined...

• Expressions

• Distributive Property

• Additive Inverse

• Like Terms

Simplify:
-1x + y - z + 10z + 2x - 10y

• 1x - 9y + 9z

• 1x - 9z - 9y

• -1x - 9z - 9y

• -1x - 9 - 9y

Simplify:
11m - 8 - 12 + 10m

• m - 20

• m - 4

• 21m - 4

• 21m - 20

Simplify the expression.

6(2a+5b)+3(a-8b)

• 15a+6b

• 21ab

• 5a

• 15a-6b

Simplify the Expression: 5(x + 2) + 2x

• 7x + 2

• 7x + 10

• 5x + 4

• 7x + 7

Simplify the Expression: 3(x - y + 5)

• 3x - 3y + 8

• 3xy + 15

• 3x + 3y + 8

• 3x - 3y + 15

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

The number in front of a variable telling the mathematician how much to multiply the variable by is called the...

• Term

• Constant

• Coefficient

• Expression

Simplify the Expression: 10x - 3(2x + 8)

• 4x - 24

• -4x + 24

• 16x - 24

• 14x - 6

Which expression is equivalent to 3x + ½(-12x - 16)

• -21x + (-32)

• 9x + 8

• -3x - 8

• -6x - 8