1. 2.3 Solving Multi-Step Equations
9/22/16

2. Common Core State Standards
Explain each step in solving a simple equation as following from the equality of numbers.
Solve linear equations and inequalities in one variables

3. Solve each equation 3x + 7 = - 8 Circle the variable.
Send the inverse of +7 to both sides of the equation.
3 x + 7 = - 8
3x =
Divide 3 on both sides
3x =
x = - 5
Check your solution.
3x = - 8
Substitute your answer for the variable.
3(-5) = - 8
Use Order of Operation rules.
= - 8 =
The answer checks out correct!

4. Solve each equation and check your solution.
Isolate the variable by sending the inverse of -6 to the other side.
y/5 – 6 = 8
y/5 = 14
Fraction means Reciprocal
5/1 • y/5 = 14 • 5/1
y = 70
Check your solution.
y/ = 8
(70/5) = 8
= 8
= 8

5. Solve each solution. Check your answer.
9x =
k/ = - 16

6. Solve each equation. Check each solution.
7/8p = 10
g/ = 13

7. Solve Consecutive Integer Problems.
Consecutive integers are integers in counting order.
We will use n (for 1st Integer), n + 1 (for 2nd Integer), and n (for 3rd Integer) for consecutive integer problems.
Find three consecutive integers whose sum is 36.
n + (n + 1) + (n + 2) = 36
Combine like terms.
n + n + n = 3n
3n = 36

8. Find 3 consecutive integers whose sum is 96

9. Find three consecutive odd integers with a sum of – 51.
We will use n, n + 2, n for even and odd consecutive integer problems.
n + (n + 2) + (n + 4) =
3n = - 51

10. Find three consecutive even integers with the sum of – 84.
Use n + 2 , n +4, n + 6
n (n + 4) + (n + 6) = - 84
3n = -84

11. Ticket Out the Door
Find three consecutive odd integers whose sum is 117.