Solving Multi-Step Linear Equations

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

What is the first step to solving this equation:

-11 - 3x = 44 - 2x

• Add 11 to both sides

• Get the variable on one side

• Add 3 to both sides

• Add 2 on both sides.

is 7 a solution to the equation
3x+8-x=5x-4

• yes

• no

• maybe

• 60 = 18n

• 60 = 6n

• 60 = 2n + 4n + 12

• 60 = 6n + 12

We solve equations using___?

• fractions

• the distributive property

• inverse operations

• factors

Combine ALL like terms.

• 3 + 4m + 5 = 23

• 5m + 8 = 23

• 4m + 8 = 23

• 3 + 5m + 8 = 23

Solve:
3x + 15 = 3(x + 5)

• No Solution

• x = 15

• Infinitely Many Solutions

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

8z - 22 = 3 ( 3z + 11) -z

• No Solution

• One Solution

• Infinite Solutions

-3(x + 6) = -3(2x + 4)

• No Solution

• One Solution

• Infinite Solution