School District of Palm Beach County
Department of K‐12 Curriculum At Home Winter Practice for Middle School Mathematics Grade 7 Grade 7 Mathematics Secondary Education MAFS.7.EE.1.1 Calculator Allowed
for this Standard Name: _______________________________________________________ Date: ___/___/___ 3
 1

1. What is the sum of the two expressions?  x  4    x  2  7
 7


4
 1
2. Write an equivalent expression by combining like terms.  x  3   x  1 
5
 4
2
 1

3. Write an equivalent expression by combining like terms. 6 x  7    x  1 3
 3

4

4. Select all expressions equivalent to 5 x  6   8 x  24  . 5

A. 66x B. 2(6x + 27) C. 3(4x + 18) D. 12x + 30 
1
 2
5. Which expression is equivalent to 4 x  1  3 x  3 ? 
3
 5
A. 2
x 5
15
B. 2
x4
15
C. 2
x  13 15
D. E. 6(2x + 9) 2
x  10 15
Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.EE.1.2 Calculator is Neutral
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. Lupita purchased a new ball gown to wear to the prom. The expression 0.06g represents the sales tax on the gown price, g. Write the simplest form of an expression in terms of g to represent the total amount that Lupita spent on the gown, including tax. 2. Bernard used the expression 18x + 27 to calculate his earnings. Select all of the expressions that are equivalent to Bernard’s expression? A. 9(2x + 3) B. 9(18x + 27) C. 9(2x + 27) D. 3(6x + 27) E. 3(6x + 9) 3. Mr. Raymond’s compost box has c pounds of compost in it. After a trip to the garden supplier he increased the amount of compost in the box by 30%. He then used half of the compost in his tomato garden. Write an expression, in simplest form, to show how much compost is left in the box. 4. Gill’s dealership had v vehicles on his lot. He had sold 9% of the vehicles on his lot by the end of last month. Which expression shows the number of vehicles left on Gill’s lot? A. 0.09v B. v + 0.09v C. 1 – 0.09v D. v – 0.09v 5. The items Matt ate at dinner cost m dollars. He added 6.5% to the cost of dinner for sales tax. Matt paid $25 using a gift card and used cash for the rest. Select all of the expressions that show the amount Matt paid using cash. A. 0.065m – 25 B. 6.5m – 25 C. (m + 6.5m) – 25 D. (m + 0.065m) – 25 E. 1.065m – 25 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.EE.2.3 Calculator Allowed
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1
of 2
his points. In the next level he earns 97 points, loses 35, and then ends by earning 76 points. What was Jose’s final score? 1. Jose started a video game with 50 points. On the first level of the game, Jose loses 2. The water level of a canal was 7 inches below sea level. It decreased 2
1
inches in 4
3
January and 1 inches more in February. What is the canal’s new water level in respect 8
to sea level? 3. The Math Club purchased chocolate bars for $0.60 each and plans to sell them for $1.20 each. Fifteen percent of the profit (the difference between the selling price and the purchase price) from the candy sales will go toward new club shirts. If 700 chocolate bars are sold, what is the amount of money that will go towards new club shirts? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.EE.2.3 Calculator Allowed
for this Standard 4. The Little Lion’s water cooler was filled with 255.5 ounces of water. The cooler’s tap is emptying out 0.3 ounces of water per second. In how many seconds will the cooler be 40% full? A. 76.7 seconds B. 340.7 seconds C. 511 seconds D. 851.7 seconds 5. James is placing a 40.5 inch poster on his 132.75 inch wall. He wants to center the poster horizontally on the wall. How far from each edge of the wall should he place the poster? (Drawing not to scale) Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.EE.2.4 Calculator Allowed
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. Jimmy is making a rectangular sandbox in his backyard for his son. Jimmy will be using wood to frame the sides of the sandbox. He wants the length of the sandbox to be 4 feet longer than the width. Jimmy can use no more than 60 feet of wood. Which inequality shows a possible width for the sandbox? A. 120 B.
120 C.
13 D.
13 2. Jennifer ordered 5 pairs of shoes online. All shoes were the same price and she paid $375 which included shipping. Choose the statements below that could be true. A. If shipping cost $30, each pair of shoes cost $77.00 B. If shipping cost $40, each pair of shoes cost $67.00 C. If shipping cost $50, each pair of shoes cost $65.00 D. If shipping cost $60, each pair of shoes cost $70.00 E. If shipping cost $70, each pair of shoes cost $61.00 3. David is a car salesman. He earns a salary of $750 a month, plus a commission of $300 per car that he sells. David needs to earn a minimum of $3,500 per month. Write an inequality for the number of sales he needs to make to earn his minimum. Let c represent the number of cars sold per month. Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.EE.2.4 Calculator Allowed
for this Standard 4. Kristina joined a health club. She paid an annual membership fee of $40 and $3.50 each time she worked out. Part A Write an equation to show the total amount, t, Kristina paid to go to the health club z times. Part B Kristina spent a total of $110.00 before she stopped going to the health club. How many times did she go to the health club? 5. Brian built a new rectangular flower bed in his front yard and he wants to cover the dirt around the flowers with mulch. The flower bed has a width of 7.5 feet and a perimeter of 49 feet. How many square feet of mulch will Brian need to cover the flower bed? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.NS.1.1 Calculator is Neutral
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. Which number line illustrates that a + b = 0 ? A. C.
B. D.
2. Which number line models – 6.5 + 4.5 ? A. B. C. D. 3. The lowest average temperature in Juneau, Alaska for January was –22 o in 1972. In January of 2014 the average low was ‐5 o. What is the difference between –5 o and –22 o? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.NS.1.1 Calculator is Neutral
for this Standard 4. Erin spent $6.75 on art supplies and made cards to sell. On Monday she sold $3.50 worth of cards and on Tuesday she sold $5.25 worth of cards. What was Erin’s overall profit or loss? A. $1.75 loss B. $2.00 profit C. $8.75 loss D. $15.50 profit 5. Rachel withdrew $35 from her bank account. Then she spent $12.50 from her account on lunch. What is the total amount that Rachel’s account changed? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.NS.1.2 Name: _______________________________________________________ Date: ___/___/___ 1. An expression is shown. What is the value of the expression? (–3.5)(1.25)(– 0.5) A. –218.75 C. 2.1875 B. –2.1875 D. 218.75 2. Write 3
as a decimal. 16
3. The elevation of the Vander’s home is –108 feet. The elevation of the Gail’s home is 2
exactly of that depth below sea level. What is the elevation of the Gail’s home in 3
feet? A. –36 B. –72 C. –162 D. –180 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.NS.1.2 4. Find the value of the expression below. −
2 5
 3 6
4
5. After a party Ronen noticed that of a pound of treats were left over. He decided to 9
3
take of that amount to school and keep the rest for himself. What fraction of the 5
remaining treats will Ronen bring to school? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.NS.1.3 Name: _______________________________________________________ Date: ___/___/___ 1. Jim bought a new freezer last winter. When he plugged it in at noon the temperature inside the freezer was 21oC. That night the temperature inside the freezer was –15oC. By how many degrees Celsius did the temperature change? 2. Lee recorded the change in the price of gas over the past few months in the table below. What was the total price change in gas over the 6 months in the table? Month May June July August September October Total Change Price Change (in Dollars) 0.03 0.05 – 0.02 – 0.25 – 0.04 – 0.35 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.NS.1.3 2
3. The First Lady set aside of the land in the White House Kitchen Garden to grow peas. 3
1
She is planning to use of that land to grow sugar snap peas. What fraction of the 5
White House Kitchen Garden will be used to grow sugar snap peas? 4. Bret bought a new aquarium and is trying to get the perfect water level for his fish. He lowered the water level in his aquarium 5 mm each day for seven days. On the eighth day he lowered the water level an additional 6 mm. Select all the ways Bret can find the total change in the water level of his aquarium. A. 7(– 5) + (– 6) B. 7(– 5 + 6) C. – 6 – 7(5) D. – 6 + 7(– 5) E. 7(– 5) + 6 1
5. Mrs. Neely has 1 pounds of chocolate chips in her pantry. She decides to divide the 4
1
chocolate chips into bags which can hold of a pound of chocolate chips. How many 2
bags can Mrs. Neely completely fill? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.RP.1.1 Calculator Allowed
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1
1
1. Ramon bikes every afternoon. He travels 4 miles in hour. At what rate does Ramon 4
4
ride his bike in miles per hour? 2
1
2. On a recent hike through Riverbend Park Antoinette traveled mile in hour. Which 3
3
unit rate describes Antoinette’s speed in miles per hour? 2
mile per hour 9
1
B.
mile per hour 2
C. 2 miles per hour 1
D. 4 miles per hour 2
A.
3. Jeanara is making her famous juice mix for a spring party. Complete the table below to show how much mix she should use for each amount of water. Drink Mix 3
cup 4
1
1 cups 4
Water 1qt 1
1 quarts 2
2 quarts 1
2 quarts 2
Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.RP.1.1 Calculator Allowed
for this Standard 3
4. Ken’s chicken dip recipe calls for tablespoon of cayenne pepper for every 2 cups of 4
dip. How much cayenne pepper should he use for one cup of dip? 1
5. Wally uses his own recipe for mixing glittered paints. He recently mixed 3 cups of 3
1
glitter to make 2 gallons of paint. How much glitter does Wally use in each gallon of 2
paint? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.RP.1.2 Calculator Allowed
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. Rhianne is comparing the prices of fly fishing lures. She wrote the prices of lures in the table below. Based on the table is the price proportional to the number of lures? Price Number of (in dollars) Lures $2.58 6 $2.94 7 $3.28 8 2. The swim team graphed the results of their last car wash. According to the graph how much did the swim team earn for each car washed? A. $2.00 B. $5.00 C. $10.00 D. $50.00 3. The cost (c) of a Blue Box movie rental varies directly with the number of days (d) that the movie is rented. A Blue Box movie costs $3.84 for a 3 day rental. Write an equation to find the cost of renting a Blue Box movie for d days. Then, determine how much it would cost to rent a Blue Box movie for 8 days. Equation Cost of 8 day rental Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.RP.1.2 Calculator Allowed
for this Standard 4. The graph below represents the unit rate for the cost c, in dollars, of b candy bars. Write an equation to represent the cost of candy bars. 5. Arizona is making trail mix. Each batch has three times as much peanuts as raisins. Plot points to represent the amount of peanuts and raisins in three different‐sized batches. Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.RP.1.3 Calculator Allowed
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. To keep Chef Antonio from leaving the Palm Beach Little Italy restaurant, the owner increased his salary from $42,500 to $46,000. What is the percent of increase, to the nearest whole percent, in Chef Antonio’s salary? 2. In 2015, PBI airport saw a decrease in travelers from 63,386 in 2014 to 60,129. To the nearest percent, what is the percent of decrease in air travelers in Palm Beach for 2015? 3. Matt is dinning at a restaurant that does not charge a sales tax. He would like to leave a 15% tip. Select all of the following meals that Matt can buy and leave his tip, for less than $20. A.
B.
C.
D.
E.
Hamburger and Fries $12.75 Chicken Fajitas $16.87 Pork Chops with Baked Potato $17.10 Fish and Chips $17.45 Skirt Steak with Fries $18.50 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education
Grade 7 Mathematics Secondary Education MAFS.7.RP.1.3 Calculator Allowed
for this Standard 4. Macy’s offers its employees a 2.5% commission on all sales transactions that an employee creates. If Kim sells $196 in clothing to a customer, how much commission does she earn for the sale? 5. In 2015, the Miami Dolphins sold 42,365 season tickets. In 2014 they sold 40,006 season tickets. To the nearest whole percent, what was the percent of increase in season tickets between 2014 and 2015? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education