Algebraic Expressions and Like Terms and Distributive Property

lets you simplify expressions wherein you multiply a number by a sum or difference

• distributive property

• variable

• term

• algebraic expression

terms with the same variable raised to the same power.

• like terms

• variable

• term

• expression

In math expressions, the components added or subtracted

• algebraic expressions

• variable

• term

• sum

Simplify the expression using the distributive property:

6(5x + 7)

• 30x + 7

• 30x + 42

• 5x + 42

• 11x + 13

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

• Expressions

• Distributive Property

• Additive Inverse

• Like Terms

2(3x - 1) + 10

• 6x + 12

• 6x + 8 

• 6x + 9

• 6x - 8 

5x + 8y - 3x - 15y

• 2x - 7y

• 8x + 23y

• 8x - 23y

• 2x + 7y

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

2(c - 8)

• 2c - 16

• 2c + 16

• 2c - 8

• c - 16

4(-p - 6)

• 4p - 24

• 4p + 24

• -4p + 24

• -4p - 24