Objective The learner will solve multi-step equations

Solving Multi-Step Equations Pages 88-94 Lesson 2-3 Solving Multi-Step Equations Pages 88-94

Objective The learner will solve multi-step equations using real-life problems

Video The Golden X (stop after 2.5 mins)

You can solve equations that require more than two steps. They are called multi-step equations. If there are like terms on one side of an equation, first use the Distributive Property to combine them. Then use the properties of equality to solve the equation.

A gardener is planning a rectangular garden area in a community garden A gardener is planning a rectangular garden area in a community garden. His garden will be next to an existing 12ft fence. The gardener has a total of 44ft of fencing to build the other three sides of his garden. How long will the garden be if the width is 12ft? 12ft

Solve the equation: x + 12 + x = 44 2x + 12 = 44 (combine like terms) 2x + 12 – 12 = 44 -12 (subtract 12 – both sides) 2x = 32 (simplify) 2x/2 = 32/2 (divide by 2 – both sides) x = 16 The garden will be 16 ft long.

A carpenter is building a rectangular fence for a playground A carpenter is building a rectangular fence for a playground. One side of the playground is the wall of a building 70ft wide. He plans to use 340ft of fencing material. What is the length of the playground if the width is 70ft?

In the equation -2(b – 4) = 12, the parentheses indicate multiplication. Use the Distributive Property to multiply each term within the parentheses by -2. Then use the properties of equality to solve the equation.

You can solve an equation with fractions by adding the fractions or by clearing the equation of fractions. To clear fractions, you multiply each side of the equation by a common multiple of the denominators.

Solve each equation: a. m/4 + m/2 = 5/8 b. 2x/3 – 5x/8 = 26

You can clear an equation of decimals by multiplying by a power of 10. In the equation 0.5a + 8.75 = 13.25, the greatest number of digits to the right of a decimal point is 2. To clear the equation of decimals, multiply each side of the equation by 10², or 100.

Solve each equation: a. 0.025x + 22.95 = 23.65 b. 1.2x – 3.6 + 0.3x = 2.4

Summary Step 1: Clear the equation of fractions and decimals. Step 2: Use the Distributive Property to remove parentheses on each side. Step 3: Combine like terms on each side. Step 4: Undo addition or subtraction. Step 5: Undo multiplication or division.