Lesson 2 5 Solving equations with variables on
Lesson 2. 5: Solving equations with variables on both sides Algebra 1 Mrs. Mongold
Steps to solve multi-step problems • Distribute and/or combine like terms – Combine all constants and variables • Add or subtract the variables to one side (move the smaller one, this keeps variable positive so we don’t have to worry about negatives) • Add or subtract the constants to the other side • Solve as we did in the first few lessons
REMEMBER PEMDAS • • • P- please --- parenthesis E- excuse --- exponents M- My--- Multiplication D- Dear--- Division A- Aunt--- Addition S- Sally--- Subtraction
Example Solve -2 + 10 k = 8 k -1
Example Solve -2 + 10 k = 8 k -1 -8 k
Example Solve -2 + 10 k = 8 k -1 -8 k -2 + 2 k = -1
Example Solve -2 + 10 k = 8 k -1 -8 k -2 + 2 k = -1 +2 +2
Example Solve -2 + 10 k = 8 k -1 -8 k -2 + 2 k = -1 +2 +2 2 k = 1
Example Solve -2 + 10 k = 8 k -1 -8 k -2 + 2 k = -1 +2 +2 2 k = 1 2 2
Example Solve -2 + 10 k = 8 k -1 -8 k -2 + 2 k = -1 +2 +2 2 k = 1 2 2 k=½
Example Solve -2 + 10 k = 8 k -1 -8 k -2 + 2 k = -1 +2 +2 2 k = 1 2 2 k=½ CHECK YOUR ANSWER!!!! -2 + 10( ½ ) = 8 ( ½ ) – 1 -2 + 5 = 4 - 1 3 = 3
Example Solve 2 m + 5 = 5(m – 7) -3 m
Example Solve 2 m + 5 = 5(m – 7) -3 m 2 m + 5 = 5 m - 35 – 3 m
Example Solve 2 m + 5 = 5(m – 7) -3 m 2 m + 5 = 5 m - 35 – 3 m 2 m + 5 = 2 m - 35
Example Solve 2 m + 5 = 5(m – 7) -3 m 2 m + 5 = 5 m - 35 – 3 m 2 m + 5 = 2 m – 35 -2 m - 2 m
Example Solve 2 m + 5 = 5(m – 7) -3 m 2 m + 5 = 5 m - 35 – 3 m 2 m + 5 = 2 m – 35 -2 m - 2 m 5 = - 35
Example Solve 2 m + 5 = 5(m – 7) -3 m 2 m + 5 = 5 m - 35 – 3 m 2 m + 5 = 2 m – 35 -2 m - 2 m 5 = - 35
Example Solve 2 m + 5 = 5(m – 7) -3 m 2 m + 5 = 5 m - 35 – 3 m 2 m + 5 = 2 m – 35 -2 m - 2 m 5 = - 35 No Solution O
Your Turn Example Solve 8+ 5 s = 7 s - 2
Your Turn Example Solve 8+ 5 s = 7 s – 2 Answer s = 5
Example
Example
Example
Example
Example -1 -1
Example -1 -1
Example ∙ 4 -1 -1 ∙ 4
Example ∙ 4 s = -28 -1 -1
Example ∙ 4 s = -28 -1 -1
Example
Example
Example
Example
Example
Example ∙ 3
Example ∙ 3 y=-3/2
Example ∙ 3 y=-3/2
Assignment • In- Class Packet page 34/1, 5, 9, 13, 17, 21 • HW Packet page 35/ Odds
- Slides: 38