Solving Multi-Step Equations

We solve equations using___?

• fractions

• the distributive property

• inverse operations

• factors

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

-15 = 5a +12- 2a + 6

• -11

• -3

• 10

• 7

3a + 9 + 4a = 2

• -1

• 1

• no solution

• -7

4(a + 3) = -32

• -11

• -44

• -20

• -8

2 + 14a = -8 + 9a

• -2

• 3

• 5

• -10

-a = 9(a - 10)

• 9

• 1

• 90

• 10

22 + 2a = 37 + 6 + a

• 21

• -21

• 5

• 6

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

• one solution

• infinitely many

• no solution

0.75 + 2(a - 0.5) = 3a - 0.4

• 0.15

• 5

• 1.5

• 3.75