Solve 2c + 2 + 3c = 12.

Solving Multi-Step EquationsSolving Multi-Step EquationsCOURSE 3 LESSON 2-4COURSE 3 LESSON 2-4

2c + 2 + 3c = 12

2c + 3c + 2 = 12 Commutative Property

5c + 2 = 12 Combine like terms.

5c + 2 – 2 = 12 – 2 Subtract 2 from each side.

5c = 10 Simplify.

Divide each side by 5.5c5

105=

c = 2 Simplify.

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(continued)

Solving Multi-Step EquationsSolving Multi-Step EquationsCOURSE 3 LESSON 2-4COURSE 3 LESSON 2-4

Check 2c + 2 + 3c = 12

2(2) + 2 + 3(2) 12 Substitute 2 for c.

12 = 12 The solution checks.

2-4

Eight cheerleaders set a goal of selling 424 boxes of

cards to raise money. After two weeks, each cheerleader has

sold 28 boxes. Write and solve an equation to find out how

many more boxes each cheerleader must sell.

Solving Multi-Step EquationsSolving Multi-Step EquationsCOURSE 3 LESSON 2-4COURSE 3 LESSON 2-4

8(28 + x) = 424

2-4

Let x = the number of additional boxes.

Words 8 cheerleaders • (28 boxes + = 424 boxes

Equation 8 • (28 + x) = 424

additionalboxes

(continued)

Solving Multi-Step EquationsSolving Multi-Step EquationsCOURSE 3 LESSON 2-4COURSE 3 LESSON 2-4

Each cheerleader must sell 25 more boxes.

Check for Reasonableness Round 8 to 10 and 28 to 20. The cheerleaders sold about 10 • 20, or 200 boxes. This means each cheerleader must sell about 22 more boxes. 25 is close to 22. The answer is reasonable.

224 + 8x = 424 Distributive Property

224 – 224 + 8x = 424 – 224 Subtract 224 from each side.

8x = 200 Simplify.

Divide each side by 8.8x8 =

2008

x = 25 Simplify.

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