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Solve Multi-step Linear Equations.

GRADE 8 Module 3 Lesson 1.

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Problem of the Day.

Solve the equation 4x + 3 = 11.

How can you check your solution?

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I Can.

solve linear equations with integer and rational number coefficients.

I Can

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Spark Your Learning.

Jordan buys 2 new jerseys and a glove for softball. She pays the price shown for the glove and gives the clerk two fifty-dollar bills to pay the exact amount. How much does Jordan pay for each jersey? Write and solve an equation.

What would the equation and solution be if Jordan gives the clerk a single hundred-dollar bill? How are the equations alike or different? How is the process of solving the equations alike or different?

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Turn and Talk.

Is there another equation that will solve the same problem? Explain.

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Build Understanding • Task 1 ACTIVITY.

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Step It Out • Task 2 ACTIVITY..

Lanie and Jen buy the same number of books at the used book sale. Lanie buys paperback books and Jen buys hardcover books. Lanie spends $1.50 less than Jen. Solve the equation to find the number of books each of them buys.

1.2n – 1.5 = 0.45n

1.2n = 0.45n + ____

1.2n – ____ = ____

____ = ____

n = ____

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Step It Out • Task 2 ACTIVITY..

1.2n – 1.5 = 0.45n

____ (1.2n) – ____ (1.5) = ____ (0.45n)

____n – ____ = ____n

____n = ____

n = ____

A. Look at the decimals in the equation and think about how you could rewrite the equation with integer coefficients. What is the least power of 10 you could multiply each term by to eliminate all the decimals?

B. Multiply each term of the original equation to eliminate all the decimals. Solve the equation.

C. Do you get the same solution?

D. Which equation was easier to solve? Why?

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Turn and Talk.

How is solving an equation that involves fractions similar to solving an equation with decimals? What methods can you use to solve each type of equation?

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Step It Out • Task 3 ACTIVITY.

Jackie has a coupon for $8 off the price of a jacket. Then the clerk takes 25% off the discounted price, so she saves an additional $10. Determine the original price of the jacket.

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Step It Out • Task 4 ACTIVITY.

Solve the equation 4(2.5x + 2) – x = 26.9.

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Check Understanding.

1. Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and solve an equation.

2. Solve the equation. Check your solution.

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I Can Scale.

4	I can solve linear equations with integer and rational number coefficients and explain how to do so to others.
3	I can solve linear equations with integer and rational number coefficients.
2	I can solve linear equations with integer coefficients.
1	I can determine whether a given rational number is the solution to a linear equation.

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Exit Ticket.

Solve the equation using two different methods. Show your work.

2.25x + 15 = 9.5x + 0.5

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