Simplifying Algebraic Expressions by Combining Like Terms and Distributive Property

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

• 3x - 3y + 8

• 3xy + 15

• 3x + 3y + 8

• 3x - 3y + 15

Simplify the Expression: -1(2x + 3) - x

• -x + 3

• 3x + 3

• 4x + (-2)

• -3x - 3

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

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

• Expressions

• Distributive Property

• Additive Inverse

• Like Terms

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

• -21x + (-32)

• 9x + 8

• -3x - 8

• -6x - 8

Simplify:
11m - 8 - 12 + 10m

• m - 20

• m - 4

• 21m - 4

• 21m - 20

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

• Term

• Constant

• Coefficient

• Expression

Which expression is equivalent to:
4x + 30y

• 2(x + 15y)

• 4(x + 15y)

• 2(2x + 15y)

• can't be factored

Use the distributive property to simplify the expression.

2(7c - 8)

• 14c - 16

• 14c + 16

• 7c - 16

• c - 16

Use the distributive property to simplify the expression.

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15