Pre-Algebra Unit 5 Lesson 7

Pre-Algebra Unit 5 Lesson 7

Topics to Review

Distributive Property Combining Like Terms Solving Two-Step Equations Solving One-Step Equations

Distributive Property

Multiple Choice

8(3 +2x) =

• 24 + 16x

• 24 + 2x

• 3 + 16x

• 40x

Multiple Choice

12(x + 4) =

• 12x + 48

• 12x + 4

• x + 48

• 2x + 60

Combining Like Terms

Like terms have the same variable parts.

All constants are like terms.

Only like terms can be combined by addition or subtraction.

Multiple Choice

 $Simplify:\ 4x\ -\ 7\ -4x\ +3x$  

•  $3x\ -\ 7$  

•  $11x-7$  

•  $11x\ -7$  

•  $3x$  

Multiple Choice

 $Simplify:\ 5\left(3x\ -\ 1\right)\ -8+x$  

•  $20x-45$  

•  $11x-8$  

•  $16x-9$  

•  $16x-13$  

Steps to solving Multi-Step equations

• Distributive Problem

• Combine like terms as needed

• Move numbers to the opposite of the variable by doing the inverse operation

• Isolate the variable by undoing the multiplication or division problem

Multiple Choice

What is the first step in solving the equation 2a + 4(a + 5) = 10

• Add 4 to both sides

• Add the 2a and a

• Distribute 4 to a and 5

• Distribute 4 to a and 5

Multiple Choice

-11 + 3(b + 5) = 7

• 1

• -1

• 3

• -3

Multiple Choice

2x + 3(5x - 7) = 47

• 1

• 2

• 3

• 4

Multiple Choice

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

Multiple Choice

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Multiple Choice

8v + 4(v - 8) = 8

• 2

• 5

• 4

• -4