Solving Equations with Distributing and Combining

Solve for x:

2(x – 2) = 4(2x + 5)

Solve for x using combine like terms:

4x + 5x + 7 – 3x + 5 = –18

When distributing a number through ( ), it needs to multiply to __________________

• just the first term inside the ( )

• just the last term inside the ( )

• every term inside the ( )

• any two terms inside the ( )

• add the 5
  

• divide by the 2
  

• distribute the 3
  

• subtract the 21
  

Solve the equation below:

3 (2x + 3) = 21

Solve by combining like terms:

2x + 4 = 3x – 6

Solve for x by combining like terms:

2x + 9 + 4x + 3 = 5 + x + 12

• x = 1

• x = 3

• x = –2

• x = 4

How can the distributive property be used to solve the equation 2(x + 3) = 14?

• Expand the equation to 2x + 6 = 14, then solve for x.

• Expand the equation to 2x + 3 = 14, then solve for x.

• Expand the equation to 2x + 9 = 14, then solve for x.

• Expand the equation to 2x + 12 = 14, then solve for x.

What is the distributive property in mathematics?

• A property that allows multiplication of a number by a sum by distributing the number to each addend.

• A property that allows division of a number by a sum by distributing the number to each addend.

• A property that allows addition of a number by a sum by distributing the number to each addend.

• A property that allows subtraction of a number by a sum by distributing the number to each addend.