1) Combine like terms: 4x 52y 31z + 64y 16z 23

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1 Upcoming 8 th Grade Summer Math Review All problems taken from FSA Assessment Readiness Practice and Digital Lessons.com 7 th grade Warm-ups. If students are struggling with one area, you can do a google search with the numbers above it for additional resources. 7.EE.1.1 1) Combine like terms: 4x 52y 31z + 64y 16z 23 2)

2 7.EE.1.2 1) 9(3x + 7y 8) = 2) If Trina multiplied her purchase price by 1.07 to get her total bill what percent sales tax was she paying? 3)

3 7.EE.2.3 1) Ralph ate ½ of a pie before dinner. After dinner he ate 1/3 of what was left. What fraction of the pie did he eat after dinner? 2) Rizzo s Pizza Parlor sold 127 individual slices of pizza on Tuesday and 159 slices on Wednesday. If each slice is 1/8 of a pizza, how many pizzas did they sell from individual slices on these two days? 3) (23) 11( 2) = 7.EE.2.4 1) Solve the inequality: 5x ) Rebecca buys some scarves that cost $5 each and 2 purses that cost $12

4 each. The cost of Rebecca s total purchase is $39. Write an equation to find the number of scarves that Rebecca can buy. 3) Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace? 7.G.1.1 1) Find the actual area of the rectangle shown in the scale drawing below. Use the scale 1 inch = 3 feet. 2) Find the actual perimeter of the rectangular park shown in the scale drawing below. Use the scale 1 inch = 5 feet.

5 3) Racquel drew a picture of her school. She used the scale 1 cm: 3 m. Her drawing is 61 cm. What is the length, in meters, of the actual school? 7.G.1.2 1) 2) Is it possible to draw a triangle with the side lengths of 4 cm, 7 cm, and 9 cm in length? Explain your answer.

6 7.G.1.3 1) If a right trangular prism is sliced with a plane perpendicular to its base, what shape would be formed? 2) If a cylinder is sliced parallel to the base, what shape would be formed? 7.G.2.4

7 1)Find the area of circle, in terms of pi, if the radius is 12 cm. 2) What is the area of a circle that has a diameter of 10 feet? 3) The London Eye is a giant Ferris wheel on the south bank of the river Thames in London, England. The height of the entire structure, including the support frame, is 135 meter. The wheel has a diameter of 120 meters. Find the circumference of the wheel. 7.G.2.5

8 1) One of two supplementary angles is 53. Let x equal the measure of the other supplementary angle. Write and solve an equation to find the measure of angle x. 2) One of two complementary angles is 71. Let x equal the measure of the other complementary angle. Write and solve an equation to find the measure of angle x. 3) Write and solve an equation to find the measure of angle x. 7.G.2.6

9 1) Use the net below to find the surface area of the triangular pyramid. The four congruent triangles each have a base 5 inches and a height of 9 inches. 2) Use the net below to find the surface area of the square pyramid. 7.NS.1.1 1) Rewrite the following subtraction problems as adding the inverse, then solve (62). 2) Use the Commutative Property to find the sum.

10 = 7.NS.1.2 1) Convert 5/16 to a decimal using long division. 2) (64-4) (-2) = 3) -9(3x + 7y 8) = 7.NS.1.3 1) (-30) + 17 = 2) 7 7/8 2 ¼ =

11 7.RP.1.1 1) 2)

12 3) 7.RP.1.2 1) Identify the constant of proportionality (unit rate) using the table below. Give the rate in feet per second. 2) Give the coordinates of the point on the graph. Then find the unit rate.

13 3) 7.RP.1.3 1) How much is Rick s 14% comminison on $150,000 in sales? 2) The town of Orange City had a population of 700. Now the population is 805. What is the percent of increase in the population? 3) Janelle had $120 when she went shopping. After she finished shopping she had $96. What is the percent of decrease in her amount of money?

14 7.EE.1.1 Answers 1) 4x + 12y 47z 23 2) The expression represents the total amount he earned. $1.75 is multiplied by the number of frosty mango pops plus $2.25 multiplied by the number of frozen fruit yogurts plus $2.75 times the number of sundae swirl cups plus $2.25 times the number of chocolate chip cones plus $1.75 times the number of fudge sandwichs equals the total amount Andrew earned. 7.EE.1.2 1) -27x 63y ) 7% 7.EE.2.3 1) 1/6 2) 35 ¾ pizzas 3) EE.2.4 1) x 8 2) 5x + 12(2) = 39 3) 7 7.G ft ft 2 3) 183m 7.G a. Yes, because 5+8>12 is true b. Yes, because 12+12>12 is true c. No, because 3+6>10 is not true. 2) Yes, because 4+7>9 is true 7.G.1.3 1) square 2) circle 7.G.2.4 1) cm 2 2) 78.54ft 2 3)376.99m 2 7.G.2.5 1) 127º 2) 31º 3)19º 7.G.2.6 1) 90 in 2 2) 168cm 2

15 7.NS.1.1 1) ) NS.1.2 1) ) 8 3) -27x 63y NS.1.3 1) -10 2) 7 2 or RP.1.1 1) D 2) 300 gallons per hour 3) For every foot of the old patio, the new will be 3 feet. 7.RP.1.2 1) 24 feet per second 2) 35 students per class 3) D 7.RP.1.3 1) $21,000 2) 15% increase 3) 20% decrease

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