Solving Real Word Problems Exam Practice Questions and Answers

Solving Real Word Problems Exam Practice Questions and Answers Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it. Which value could replace x in the table? - ANSWER-C. 8(15 - m) Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce, and garlic powder costs $3 per ounce. The table shows the costs of the ingredients. What is the value of y in the table? - ANSWER-6 A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets. Which equation is true? - ANSWER-D. 4r + 3(10 - r) = 37 Copyright © OLIVIAWEST2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED Copyright ©Stuvia International BV Page 2/10 Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach. How many cups of salad are in the resulting mixture? - ANSWER-C. 12 The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces. Which value could replace x in the table? - ANSWER-D. 5(45 - h) A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used. What is the value of x, the acid concentration of the first solution? - ANSWER-A. 0.05 Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar coins Giuliana has? - ANSWER-C. 0.25(22 - d) + d = 10.75 Copyright © OLIVIAWEST2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED Copyright ©Stuvia International BV Page 3/10 Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors? - ANSWER-B. 0.15(40) + 0.6(x - 40) = 0.25(x) Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used. What is the value of x? - ANSWER-C. 10 It would take Marco 6 hours to paint a fence by himself. It would take Jaylyn 5 hours to paint the same fence by herself. Marco is creating this table to help him determine how long it would take them to paint the fence together. Which heading should be written above the first column of numbers? - ANSWER- A. Rate (part/hour) Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them? - ANSWER-B. 18 minutes Copyright © OLIVIAWEST2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED Copyright ©Stuvia International BV Page 4/10 Working together, Katherine and Marina can sand a large cabinet in 2 hours. It would take Katherine 10 hours to do the job alone. What is the value of r, the part of the job that Marina can complete in 1 hour? - ANSWER-B. 0.4 If Judy completes a puzzle by herself, it takes her 3 hours. Working with Sal, it only takes them 2 hours. What is the missing value from the table that represents Judy's rate? - ANSWER-C. 1/3 Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race? - ANSWER-A. Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilometers per hour. At the same time, Lian boards a train heading west on a parallel track at an average speed of 250 kilometers per hour. How far has Lian traveled when the two trains pass each other? - ANSWER-D. 1,000 kilometers If Jasper installs a floor himself, it will take him 7 hours. Working with Yolanda, it will take them 3 hours. Copyright © OLIVIAWEST2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED Copyright ©Stuvia International BV Page 5/10 If they work together, what is the missing value in the table that represents the part of the floor Jasper will install? - ANSWER-A. 1/7(3) It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone? - ANSWER-B. 5/8 + 5r = 1 The average rate of the first part of Yi's walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend? - ANSWER-D. 4x + 5(0.7 - x) = 3 Solve for a. 7a - 2b = 5a + b - ANSWER-C. a= 3/2b The formula to convert °F to °C is C = (F - 32). Convert 50°C to °F. - ANSWER-C. 122F The formula for the circumference of a circle is C = 2r, where r is the radius and C