Practice Problems. Skills Practice

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Tyrone Mason
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1 Practice Problems Skills Practice 1. Solve the proportions. Simplify your answers. Round answers to the nearest hundredth as needed. Show all work p 12 a. b. x c. 11 m c w 2. Complete the missing parts of the table. Round to the nearest thousandth as needed. Reduce all fractions Fraction Decimal Percent % 0.7%

2 3. For each of the following, first translate the given statement into a percent equation, then solve the equation. Show all steps. a. 45% of what number is 22? b. 50 is what percent of 82? Equation: Solve: Equation: Solve: c. 67 is 80% of what number? d. 300 is what percent of 48? Equation: Solve: Equation: Solve: 4. Calculate the percent change for each of the following. Show all work. a. A quantity decreases from 15 to 10 b. A quantity increases from 10 to 15

3 Applications For each of the following, underline the Givens and circle the Goal of the problem. Form a Strategy, Solve, and Check. Show all work, and write your answer in a complete sentence. 5. Janine has accepted a telephone survey job. She receives a fixed monthly salary of $300 plus a commission of $0.75 for each call she completes. Write an equation to determine the number of calls Janine needs to complete in one month in order to earn $400? 6. Jade is stranded downtown with only $10 to get home. Taxis cost 75cents per mile, but there is an additional $2.50 hire charge. Write an equation and use it to calculate the maximum number of miles she can ride.

4 7. Eli has baked a cake, and wants to sell it in his bakery for three times the cost of making it. The ingredients cost $11.25 He is going to cut it into twelve slices, and sell them individually. Write an equation to represent this situation, and use it to determine the amount of money Eli should charge for each slice of cake. 8. An electric guitar and amp set costs $2389. You are going to pay $550 as a down payment, and pay the rest in equal monthly installments for one year. Write an equation to represent this situation, and use it to determine how much you should pay each month. 9. To rent a dunk tank, Modern Rental charges $150 per day. To rent the same tank, Budgetwise charges $8.50 per hour plus a $15 setup fee. Write an equation that will help you to determine the number of hours at which the two companies charge the same. Solve the equation, and write your answer in a complete sentence.

5 10. A dripping faucet wastes about 15 gallons of water daily. How many gallons of water are wasted in 3 hours? Set up a proportion to represent this situation. Solve, and write your answer in a complete sentence. Round to the nearest hundredth as needed. 11. The scale on a map is 1 inch to 50 miles. Find the actual distance between two towns that are 6.25 inches apart on the map. Set up a proportion to represent this situation. Solve, and write your answer in a complete sentence. Round to the nearest tenth as needed. 12. Thirty gallons of oil flow through a pipe in 4 hours. At this rate, how long will it take 280 gallons to flow through this same pipe?

6 13. To estimate the number of spotted owls in a national park, researchers capture 195 owls, tag them, and release them. Later, the researchers capture 140 owls from the same national park, and find that 52 of them have tags. Use this information to estimate the total number of spotted owls in the park. 14. An 8 fluid ounce serving of PowerAde contains 72 calories. How many calories are in 30 fluid ounces of PowerAde? Set up a proportion to represent this situation. Solve, and write your answer in a complete sentence. Round to the nearest tenth as needed. 15. A family has a monthly income of $2300 and spends about $300 each month on entertainment. What percent of their income is spent on entertainment?

7 16. One banana contains about 425mg of potassium. That is about 13% of the dailyrecommended amount of potassium. a. How much potassium (in mg) should be consumed daily? b. How many bananas would you need to eat each day in order to consume this much potassium? 17. Jon has 688 points in his math class. To earn a B in the class, he must have 80% of the 930 points possible by the end of the term. How many more points must he earn by the end of the term to receive a B in the class? 18. On a recent trip out to dinner where you and your friend received excellent service, the bill after tax was $ You decide to leave a 20% tip. Calculate the total amount paid.

8 19. In a survey of several hundred children, 3 out of every 25 children indicated that they wanted to become professional athletes when they grew up. a) What percent of the children wanted to become professional athletes? b) What percent of the children did not want to become professional athletes? 20. A home goods store had a 20% off sale on all its merchandise. A customer bought a down comforter that originally cost $180. a. What was the sale price of the comforter? b. Calculate the total amount the customer paid after a 9% sales tax was added to the purchase.

9 Extension 21. Justin receives a 10% pay cut followed by a 10% pay raise. His salary after the raise is a. More than his original salary b. The same as his original salary c. Less than his original salary. Explain your reasoning. 22. Consider the proportion x a) Write a story problem for the proportion above. b) Solve your problem as well showing all possible steps. Write your answer in a complete sentence.

Lesson 6 Practice Problems

Lesson 6 Practice Problems Lesson 6 Skills Practice 1. Solve the proportions. Simplify your answers. Show all work. 28 3.5 p 12 a. b. x 5 5 50 c. 11 m d. 20 6 4 5 8 10 w 2. Complete the missing parts of the table. Decimal Percent