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Name_____________________________ Date____________________ Chapter 4.4 Solving Equations: The Distributive Property Do Now: Apply the Distributive Property to find the product. 3(y - 2) 1 3 ( 9 m+ 6) 8 ( 4−3 x) 1 6 ( 30 +12 n) Find the reciprocal of each number -3 4 5 −2 3 1 13 6 21 Objective_____________________________________________________________ ______________________________________________________________________ __________________________________________________________ Simplify First: Using the Distributive Property: Solve: 5y + 2(y – 3) = 92 Solve: 24 = 1 4 ( x−8)

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Page 1: smilardo.files.wordpress.com€¦ · Web viewpounds of cashew nuts worth $7.00 per pound with 9 pounds of peanuts worth $3.00 per pound to obtain pounds of mixture worth $5.00 per

Name_____________________________ Date____________________

Chapter 4.4 Solving Equations: The Distributive Property

Do Now: Apply the Distributive Property to find the product.

3(y - 2) 13(9m+6) 8(4−3 x)

16(30+12n)

Find the reciprocal of each number

-3 45

−23

113

621

Objective_____________________________________________________________________________________________________________________________________________________________________________________________

Simplify First: Using the Distributive Property:

Solve: 5y + 2(y – 3) = 92 Solve: 24=14 (x−8)

Solving Real-Life Problems

Page 2: smilardo.files.wordpress.com€¦ · Web viewpounds of cashew nuts worth $7.00 per pound with 9 pounds of peanuts worth $3.00 per pound to obtain pounds of mixture worth $5.00 per

You sell medical equipment. You earn a $30,000 salary plus a bonus. Your bonus is 130 of the amount by which your sales exceed $500,000. How much must you sell to earn $40,000?

Suppose the medical equipment company restructured its pay schedule. Now you earn $35,000 plus a bonus of 125 of the amount by which your sales exceed $700,000. How much must you sell to earn $40,000 now?

Distributing Negative Numbers:

Solve: 5 – 3(x – 2) Use the Distributive Property:

Simplify:

Subtracting a number is the same as adding the opposite:

Simplify:

Do this one on your own:

7 - 4 (11 + 3b)

In Exercises 1 and 2, describe the error. Then solve the equation.

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In Exercises 3–11, solve the equation. Check your solution.

12. Solve the equation in two ways.a. Use the Distributive Property First. b. Multiply by a reciprocal First. c. Which way do you prefer? Why?

13. Solve the equation in two ways.a. Use the Distributive Property First. b. Multiply by a reciprocal First. c. Which way do you prefer? Why?

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14. Write an equation for the area of the rectangle. Then solve for x.

15. Write an equation, solve the equation for x, and find the measures of the angles.

16. A grocer wants to mix x pounds of cashew nuts worth $7.00 per pound with 9 pounds of peanuts worth $3.00 per pound to obtain pounds of mixture worth $5.00 per pound. Use the verbal model and labels to write an equation and find the number of pounds of cashews required to obtain the specified mixture.

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