1. Solving Multi-Step Equations

2. Work Backwards Multi-step equations can be solved by
undoing the operations in reverse of the
order of operations.
Work Backwards

3. Steps for Solving Equations
1. Use the Distributive Property to remove the grouping symbols.
2. Simplify the expressions on each side of the equals sign.
3. Use the Addition and /or Subtraction Properties of Equality to get the variables on one side of the equals sign and the numbers without variables on the other side of the equals sign.
4. Simplify the expressions on each side of the equals sign.
5. Use the Multiplication and /or Division Properties of Equalities to solve.

4. Example 1:
3(x-3) = x+11
3x-9 = x+11 Use Distributive Property to remove the grouping symbols
2x = 20 Use the addition/subtraction properties of equalities to get the variables on one side and the numbers without variables on the other.
x=10 Use the multiplication/division property of equalities to solve.

5. Example 2:
4t-2(t+3) = t
4t-2t-6 = t Use the distributive property to remove the grouping symbols.
2t-6 = t Simplify the expressions on each side of the equals sign.
t = 6 Use the multiplication/addition properties of equalities to solve.

6. Example 3:
8.3h-2.2 = 6.1h-8.8
2.2h = -6.6 Use the addition/subtraction properties of equality to get the variables on one side of the equal sign and the numbers without variables on the other side of the equal sign.
h = -3 Use the multiplication/division properties of equalities to solve.

7. Work these on your paper.
– 2x = 3.6
3. 3s/2 + 5 = 17
4. -2(2x + 3) = 2x +2

8. Check your answers 1. 4n + 8 = -62 2. 1.5 – 2x = 3.6 3. 3s/2 + 5 = 17
4. -2(2x + 3) = 2x +2
3. 8
4. 7/3