Solving Two-Step Equations By: Mr. Stevens Algebra 1 Standard 5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

1. 2 x + 9 = 23 2. 2x + 9 = 23 - 9 -9 0 14 3. 2x = 14 4. 2x = 14 2 2 5. x = 7 6. 2(7) + 9 = 23 14 + 9 = 23 23 = 23 x = 7 1. Identify the variable by boxing it. Circle the coefficient. Underline the constant. 2. Remove the constant using inverse operation of addition 3. Rewrite the problem 4. Remove the coefficient using inverse operation of multiplication 5. Rewrite the problem 6. Substitute your answer to check your work and box your answer

12 – 7x = -23 1. 12 – 7 x = -23 2. 12 – 7x = -23 -12 -12 0 -35 3. -7x = -35 4. -7x = -35 -7 -7 5. x = 5 6. 12 – 7(5) = -23 12 – 35 = -23 -23 = -23 x = 5 1. Identify the variable by boxing it. Circle the coefficient. Underline the constant. 2. Remove the constant using inverse operation of addition 3. Rewrite the problem 4. Remove the coefficient using inverse operation of multiplication 5. Rewrite the problem 6. Substitute your answer to check your work and box your answer