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