Lesson Topic: One-Step Equations (Addition, Subtraction, Multiplication, and Division) Lesson Objective: I can…  Solve one-step equations by relating an equation to a diagram.  Check to determine if solutions make equations true.

Example 1 Calculate the solution: a + 2 = 8  First, we will do it with tape diagrams.  Then, we will do it algebraically to show what happened when we made the tape diagrams.  Last, we will check our answer using substitution and the identity property.

Example 2 Calculate the solution: D - 5 = 7  First, we will do it with tape diagrams.  Then, we will do it algebraically.  Last, we will check our answer using substitution and the identity property.

Example 3 Identify the mistake in the problem below. Then, correct the mistake: H + 10 = 25 H = H = 35

Example 4 Solve: 3z = 9  First, we will do it with tape diagrams.  Then, we will do it algebraically.  Last, we will check our answer by substituting the value of z into the original equation.

Example 5 Solve: y/4 = 2  First, we will do it with tape diagrams.  Then, we will do it algebraically.  Last, we will check our answer by substituting the value of y into the original equation.

Lesson Summary We used inverse operations to solve equations today. Division was used to solve multiplication equations, multiplication was used to solve division equations, subtraction was used to solve addition equations, and addition was used to solve subtraction equations.

Evaluate Your Learning How will you “Sharpen Your Saw”?