Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations using addition and subtraction.

8.EE.7 Solve Linear Equations in one variable Algebra Standards:

Vocabulary Equivalent equations: Inverse operations: Linear equation: are equations that have the same solution(s). are operations that undo each other, such as addition and subtraction. The exponent of the variable(s) is one.

Equation - a balanced statement of equality between two quantities = 7 fulcrum = What is an Equation?

= - 3 What is an Equation?

44 = Perform the same operation to both sides to keep the equation balanced. What is an Equation?

x = This property can be used to solve variable equations. -6 x5 = x + 6 = x Algebraic Approach What is an Equation? 0 =5

Operation Original Equation Equivalent Equation Add the same number to each side Subtract the same number from each side Simplify one or both sides Transforming Equations x – 3 = 5 x + 6 = 10 x = 8 – 3 Add ___ Subtract ___ Simplify x = ___ x = ____

#1 Add to Each side of an Equation Solve x – 9 = x 11 - = 0

#2 Simplify first Solve n – (-8) = n 10 - n+ 8 = -2 = 0

Check Point: Solve the equation. 1) x – 7 = -152)n – (-6) = 4 4) 5 – (-z) = 213) -7 = 10 + y +7 x n 2 - n+ 6 = y z z = 21 = = = =

Check Point: Solve the equation. 5) m – (-3) = m 11 m+ 3 = 14 6) -8 = -b + (-2) +2 -b = (-1)b b 6 = = = 0 0 1