1. The sum of four consecutive even numbers is 52. What is the largest of these numbers?

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1 1. The sum of four consecutive even numbers is 52. What is the largest of these numbers? C In a high school basketball game, Sarah scored 10 points in the first half of the game. In the second half, Sarah scored only 3-point shots. Sarah scored a total of 31 points during the entire game. How many 3-point shots did Sarah make in the second half? C n underwater vehicle is at a depth of 1,432 feet. The vehicle has a descent rate of 480 feet per minute. Part : Write an equation to model the depth, d, of the underwater vehicle, after m minutes. Part : How many minutes will it take the underwater vehicle to reach a depth of 10,792 feet? 4. music store is offering guitar lessons for $65 per month. guitar book costs $39. How many months of lessons could a student take if he had $599 to spend on the lessons and book? 5 8 C 9 12

2 5. The formula for converting temperatures in Fahrenheit (F) to temperatures in Celsius (C) is C = 5 (F 32). If the temperature is 59 Fahrenheit, what is the 9 approximate temperature in Celsius? C farmer needs 162 feet of fencing to enclose a rectangular garden bed. The length of the bed is 25 feet. Part. Write an equation that can be solved to find the width of the garden bed. Part : Solve your equation to determine the width of the garden bed. Show your work. 7. Mary bought 3 hamburgers and 2 sodas for $7.50. soda costs $0.75. Tax is included in the prices. What is the cost of one hamburger? $1.50 $2.00 C $2.50 $ Sammy and 4 friends went out to lunch together. They all ordered the same thing for lunch. Sammy was the only one who ordered dessert, which cost $3.75. The total bill was $27.50 before tax and tip. Sammy paid for his own dessert. How much did each person s lunch cost? $4.75 $5.50 C $6.25 $6.88

3 9. customer paid $83.97 to rent a truck for 1 day. The rental company charged $34.99 per day and $0.79 per mile driven. Which equation could be used to find m, the number of miles the customer drove the truck? = 34.99m = 34.99m 0.79 C = 0.79m = 0.79m Melanie is 5 years older than 3 times the age of Tonya. Melanie is 29 years old. How old is Tonya? 5 8 C Harold completed three puzzles in 210 minutes. The second puzzle took twice as long as the first puzzle. The third puzzle took twice as long as the second puzzle. How many minutes did Harold spend completing the third puzzle? C 30 minutes 60 minutes 90 minutes 120 minutes 12. Jill paid $35 for a sweater. This was $5 less than twice what she paid for a pair of shorts. How much did Jill pay for the pair of shorts? $10 $15 C $20 $ The sum of four consecutive integers is 34. What is the smallest of the four integers?

4 14. taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport? C Eliza makes a bracelet with 9 blue beads and r red beads. If she used 80 beads to make 5 of the same bracelet, how many red beads did she use in each bracelet? 4 7 C Carol bought 2 pairs of jeans at $24 each and 3 shirts. She spent a total of $75 before tax. What is the cost of 1 shirt? $17 $13 C $11 $9 17. What is the value of x in the equation 24 = 12 4x 9 6 C What is the value of m in the equation 1 m + 3 = 57? C

5 19. customer bought a package of 12 cookies for $5.40 at a bake sale. The customer also bought additional cookies at $0.50 per cookie. If the total cost of the cookies was $8.40, how many total cookies were purchased? 6 12 C Jeremy has $36 saved. He wants to have $300 for a trip next year. He will save the same amount of money each month for the next 12 months. How much money will Jeremy need to save each month? C Phoebe is creating a border for a rectangular poster. The poster has a length that is 4 inches longer than its width, as shown below. x in. (x + 4) in. If the perimeter of the poster is 60 inches (in.), what is the length of the poster? C 13 inches 15 inches 17 inches 19 inches

6 22. Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. Her sales tax was $0.25. If Carol paid $4.10, how many pounds of bananas did she buy? C 1.6 pounds 3.0 pounds 3.2 pounds 4.0 pounds 23. What is the value of x in the equation 10 = 3 5 x + 1? 5 6 C The formula for converting temperatures in degrees Celsius (C) to temperatures in Fahrenheit (F) is F = 1.8C The temperature is 40 Fahrenheit. What is this temperature in degrees Celsius? 4 8 C ennis is driving to his uncle s house, which is 500 miles away. ennis has been traveling 6 hours at an average speed of 55 miles per hour. bout how much longer will it take ennis to reach his uncle s house if he maintains the same speed? C 2 hours 3 hours 4 hours 6 hours

7 26. rian made 5 free throws at basketball practice. Ethan scored 3 more than twice the number of free throws rian made. Which equation represents the number of free throws, t, Ethan made? t = (5 + 2) + 3 t = (3 x 2) x 5 C t = (5 x 3) + 2 t = (2 x 5) repairman charges $55 for a home visit plus $45 per hour for the time he spends making repairs. How many hours did he work if he was paid $ for a home visit? Round to the nearest tenth. C 2.1 hours 3.0 hours 3.5 hours 5.9 hours 28. Clark makes $9 per hour at his job. Each week he spends $11 from his earnings to buy a bus pass. He was left with $182 last week after buying his bus pass. To the nearest hour, how many hours did Clark work? C What is the value of y in the equation 2 3 y 1 = 1 4? C

8 30. What is the value of x in the equation 5x + 5 = 8 3 4? C girl read a book that had 1,159 pages. She read 72 pages on the first day. She then read 40 pages per day until she finished the book. Which equation can be used to find the number of days, d, it took her to read the book? 72d + 40 = 1,159 72d 40 = 1,159 C 40d + 72 = 1,159 40d 72 = 1, Jacob went on a fishing trip. This year he caught 30 fish, which is six more than twice the number he caught last year. How many fish did Jacob catch last year? 9 12 C Which equation is equivalent to ten less than twice a number, n, is sixteen? n = n = 16 C 10 2n = 16 2n 10 = 16

9 34. Three art students used a total of 28 1 inches of string for an art project. Each 2 student used 2 1 inches of string plus an additional 1 3 inches of string for each day 2 4 they worked on the art project. Each student worked on the project the same number of days. Which equation could be used to find d, the number of days the students worked on the art project? = 3 (2 1 2 d ) = 3 ( d) C = 3 (2 1 2 d) = 3 (2 1 2 ) d 35. t noon on Monday, the temperature was 20 Celsius. The formula for converting temperatures in Celsius (C) to temperatures in Fahrenheit (F) is F = 9 (C + 32). What 5 was the approximate temperature in Celsius at noon on Monday? C 61 94

10 7.EE.4 Name: Orange Purple ue: February 9, 2016 Write an equation to solve each problem, then find the solution. For some problems, writing an equation is not necessary (---). Equation Solution Equation Solution

11 nswer Key Equation Solution Equation Solution 1 x + x x x + 6 = 52 C 19 ( ) / = c 2 3x + 10 = m + 36 = m = d (x) + 2(x + 4) = m + 39 = b = 4.10 C (25) + 2w = feet h + 2(0.75) = (55) = h(55) 8 5f = C 27 45h + 55 = C 10 3T + 5 = h + 11 = x + 2x + 4x = s 5 = 35 C x + x x x + 3 = C m = f + 6 = (9 + r ) = (24) + 3s = C C