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Solve the formula 5 x + y = −1 for y .

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Solve the formula 4 x + 3 y = 7 for y .

y = 7 4 x 3

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Solve the formula 3 x + 2 y = 11 for y .

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Solve the formula x y = −4 for y .

y = 4 + x

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Solve the formula x y = −3 for y .

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Solve the formula P = 2 L + 2 W for L .

L = P 2 W 2

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Solve the formula P = 2 L + 2 W for W .

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Solve the formula C = π d for d .

d = C π

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Solve the formula C = π d for π .

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Solve the formula V = L W H for L .

L = V W H

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Solve the formula V = L W H for H .

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Everyday math

Converting temperature While on a tour in Greece, Tatyana saw that the temperature was 40° Celsius. Solve for F in the formula C = 5 9 ( F 32 ) to find the temperature in Fahrenheit.

104° F

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Converting temperature Yon was visiting the United States and he saw that the temperature in Seattle was 50° Fahrenheit. Solve for C in the formula F = 9 5 C + 32 to find the temperature in Celsius.

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Writing exercises

Solve the equation 2 x + 3 y = 6 for y :

  1. when x = −3
  2. in general
  3. Which solution is easier for you? Explain why.

Answers will vary

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Solve the equation 5 x 2 y = 10 for x :

  1. when y = 10
  2. in general
  3. Which solution is easier for you? Explain why.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Use a Problem Solving Strategy

Approach Word Problems with a Positive Attitude

In the following exercises, solve.

How has your attitude towards solving word problems changed as a result of working through this chapter? Explain.

Answers will vary.

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Did the Problem Solving Strategy help you solve word problems in this chapter? Explain.

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Use a Problem Solving Strategy for Word Problems

In the following exercises, solve using the problem-solving strategy for word problems. Remember to write a complete sentence to answer each question.

Three-fourths of the people at a concert are children. If there are 87 children, what is the total number of people at the concert?

There are 116 people at the concert.

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There are 9 saxophone players in the band. The number of saxophone players is one less than twice the number of tuba players. Find the number of tuba players.

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Reza was very sick and lost 15% of his original weight. He lost 27 pounds. What was his original weight?

His original weight was 180 pounds.

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Dolores bought a crib on sale for $350 . The sale price was 40% of the original price. What was the original price of the crib?

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Solve Number Problems

In the following exercises, solve each number word problem.

The sum of a number and three is forty-one. Find the number.

38

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Twice the difference of a number and ten is fifty-four. Find the number.

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One number is nine less than another. Their sum is twenty-seven. Find the numbers.

18, 9

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The sum of two consecutive integers is 135 . Find the numbers.

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Solve Money Applications

Solve Coin Word Problems

In the following exercises, solve each coin word problem.

Francie has $4.35 in dimes and quarters. The number of dimes is 5 more than the number of quarters. How many of each coin does she have?

16 dimes, 11 quarters

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Scott has $0.39 in pennies and nickels. The number of pennies is 8 times the number of nickels. How many of each coin does he have?

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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