1. 2-4 Solving Multi-Step Equations

2. Solve the following equations
1) 4 + x = 13
2) w – 5 = 11
3) 3 + n = 0
4) -3 = 7 + a
5) 10x = 100
6) 256 = 16c
1) x = 9
2) w = 16
3) n = -3
4) a = -10
5) x = 10
6) c = 16

3. Solve: 5t = 4t + 3
5t = 4t + 3
Since 4t is positive, subtract 4t from both sides in order to get all the t’s on one side.
Check your answer by plugging 3 back into the original equation.
5(3) = 4(3) + 3
15 =
15 = 15 TRUE

4. Solve: 5q – 13 = 37 Original Equation Add 13 to both sides Simplify
Divide both sides by 5 to get q by itself
Solution  Check it.

5. Solve: 3 + a = -2 Original Equation
Subtract 3 from both sides to get a by itself.
Simplify and solve for a.
Check your solution: 3 + (-5) = -2
3 – 5 = -2
-2 = -2 True

6. Solve: 5x + 3(x + 4) = 28 5x + 3(x + 4) = 28
5x + 3x + 12 = 28 Distribute
8x + 12 = 28 Combine like terms (the 5x & 3x)
8x + 12 – 12 = 28 – 12 Subtract 12 from both sides
8x = Simplify
8x/8 = 16/8 Divide both sides by 8
X = 2 Simplify
Check 5(2) + 3(2 + 4) = (8) = 28
= = 28

7. Solve: Multiply both sides by -3 Cancel the -3s on the left side
Simplify
Subtract 8 from both sides
Simplify
Check

8. Find three consecutive odd integers whose sum is 57.
Consecutive odd integer examples: 3,5,7
Let n = 1st odd integer
n + 2 = 2nd odd integer
n + 4 = 3rd odd integer
Equation: n + n n + 4 = 57
3n + 6 = 57
3n + 6 – 6 = 57 – 6
3n = 51
3n/3 = 51/3
n = 17
n + 2 = = 19
n + 4 = = 21

9. Homework #13
p odd, 47-49