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Solve the formula $-5x+y=\mathrm{-1}$ for $y.$
Solve the formula $3x+2y=11$ for $y.$
Solve the formula $x-y=\mathrm{-3}$ for $y.$
Solve the formula $P=2L+2W$ for $W.$
Solve the formula $C=\pi d$ for $\pi .$
Solve the formula $V=LWH$ for $H.$
Converting temperature While on a tour in Greece, Tatyana saw that the temperature was $\text{40\xb0}$ Celsius. Solve for $F$ in the formula $C=\frac{5}{9}\left(F-32\right)$ to find the temperature in Fahrenheit.
104° F
Converting temperature Yon was visiting the United States and he saw that the temperature in Seattle was $\text{50\xb0}$ Fahrenheit. Solve for $C$ in the formula $F=\frac{9}{5}C+32$ to find the temperature in Celsius.
Solve the equation $2x+3y=6$ for $y\text{:}$
Answers will vary
Solve the equation $5x-2y=10$ for $x\text{:}$
ⓐ 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?
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.
Did the Problem Solving Strategy help you solve word problems in this chapter? Explain.
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.
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.
Reza was very sick and lost $\text{15\%}$ of his original weight. He lost $27$ pounds. What was his original weight?
His original weight was 180 pounds.
Dolores bought a crib on sale for $\text{\$350}.$ The sale price was $\text{40\%}$ of the original price. What was the original price of the crib?
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
Twice the difference of a number and ten is fifty-four. Find the number.
One number is nine less than another. Their sum is twenty-seven. Find the numbers.
18, 9
The sum of two consecutive integers is $-135.$ Find the numbers.
Solve Coin Word Problems
In the following exercises, solve each coin word problem.
Francie has $\text{\$4.35}$ 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
Scott has $\text{\$0.39}$ 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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