7th grade Math Georgia Milestone

Practice Study Guide

2014-2015

CCGPS Spring Break Assignment

Name: ___________________________________________

Teacher: ____________________________ Period: _____

Completion grade: _________________

* Show WORK on every problem *“Answers Only” will NOT be accepted!!!

FormulasBelow are formulas you may find useful as you work the problems. However, some of the formulas may not be used. You may refer to this page as you complete this assignment.

OPERATIONS WITH RATIONAL NUMBERS

1. What is the product of ?

A B

C D

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2. Joe does science homework for 1½ hours and math homework for 2/3 hours. How much time does he spend on homework?

A 2 hours B hours

C hours

D 3 hours

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3. The record high temperature in Georgia is 112˚F and the record low is -17˚F. What is the difference between the highest and lowest recorded temperatures?

A -17˚ B 95˚C 112˚ D 129˚

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4. A sheet of plywood is ¾ of an inch thick. How many sheets are in a stack of plywood that is 1 foot high?

A 9 sheets B 16 sheetsC 36 sheets D 48 sheets

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5. Simplify the expression. Justify each step. Complete the justification.

1.4x + 7 + -1.4x = 1.4x – 1.4x + 7= 0 + 7= 7

A Commutative Property; Identity PropertyB Commutative Property; Associative PropertyC Associative Property; Commutative PropertyD Identity Property; Associative Property

6. Which set of rational numbers is in order from LEAST to GREATEST?

A

, 0.6, ,

B

, 0.6, , C

, , 0.6,

D

, , , 0.6

--------------------------------------------------------------------------7. Simplify the expression 45 + 16 2 4 – 6.

A 24.5 B 13.25C 47 D 29

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8. A damaged oil tanker spilled 28.2 million gallons of oil over three days. On average, how many gallons did the tanker spill per day?

A 9.4 million gal B 25.2 million galC 84.6 million gal D 94 million gal

--------------------------------------------------------------------------9. Last weekend, Alexi spent ½ of his money on the

movies and ¼ of his money on food. He has $7.50 remaining. How much money did he have originally?

A $10 B $22.50C $30 D $37.50

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10. Evaluate the expression for and .

EXPRESSIONS AND EQUATIONS

11. Which expression is equivalent to –36z + 54?

A 8(–4z – 7 ) B 12(–3z + 4)C 6(6z + 8) D –6(6z – 9)

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12. Courtney spent $25 at the store. She paid $10 for a shirt and spent the rest of her money on 3 necklaces. Each necklace cost the same amount of money. Which expression could be used to find n, the price of each necklace?

A 3n + 10 = 25 B 3n – 10 = 25C n + 10 = 25 D 10 – 3 – n = 25

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13. When Mario decided to rent an apartment for his senior year of college he met with the supervisor to take care of all the fees and expenses. He paid $100 for his credit check, $25 for his fitness center key, a $75 pet fee, and two months’ worth of rent. If Mario wrote a check for $1123, how much does his monthly rent cost?

A $461.50 B $923.00C $1323.00 D $2646.00

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14. In which of the following equations does n = 12?

A 4n + 1 = 21 B 5 + 3n = 17C 18 = 2n - 6 D 12n + 3 = 15

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15. Solve for x. 2x – 6 = 8

A x = 1 B x = 4C x = 7 D x = 12

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16. Sabrina, Aisha, and Melissa graduated from 3 different high schools. In order to celebrate, the three girls went to the movies. Melissa’s little sister also went. They spent $38 on the tickets.What was the price of each ticket in dollars?

A $12.67 B $13.67C $8.50 D $9.50

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17. Kiki has $5.00 to spend on a sundae at the ice cream stand. Each scoop of ice cream cost $1.25, a banana cost $1.00, and every other topping costs $0.50. If Kiki plans to get two scoops of ice cream and a banana, how many topping can she afford to add to her sundae?

A 5 B 3C 6 D 2

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18. What is the value of x in the equation

67.3 + x = –87.95

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19. Solve and graph the solution set for the following inequality?

3x + 4 –18

RATIOS AND PROPORTIONAL RELATIONSHIPS

20. Wilson Middle School hosted a four-team basketball tournament. The bar graph below shows the number of fans form each school that attended the tournament.

What is the ratio of the number of fans from Wilson who attended to the number of fans from St. Xavier who attended?

A 1 : 22 B 2 : 1C 11 : 5 D 22 : 5

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21. A local college recently reported that enrollment increased to 108% percent of last year. If enrollment last year was at 17,113, about how many students enrolled this year?

A 13,690 B 18,482C 1,848,204 D 1478

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22. A heart typically beats 4,320 times in an hour. At this rate, how many times does a heart beat in 8 minutes?

A 9 B 34,560C 576 D 2,073,600

23. A runner jogged 5¼ miles in 45 minutes. At this rate how far will she run in 2hours?

A 10½ miles B 12¾ milesC 14miles D 15 miles

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24. Outside of the school, there is a flag pole that is 36 feet inches height. It casts a shadow that is 36 feet long. Standing in front of the pole is a boy who is 6 feet tall. What will be the length of his shadow?

A 216 feet B 18 feetC 72 feet D 6 foot

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25. A major distributor of cooked turkeys charted their production over a ten hour time frame. Based on their information, how long does it take to bake a single turkey?

A 1 hour B

hourC 3 hours D 1½ hours

INFERENCES

26. Will surveyed his homeroom of 20 students and found that 20% chose chocolate ice cream as their favorite, 40% chose cookies-and-cream, and 40% chose vanilla. Do these results represent all 1,200 students in Will’s middle school?

A No; they didn’t include strawberry ice cream.B No; as the sample size increases, the results may

change.C Yes; all of the students in the school like the same

ice creamD Yes; all of the students will select one of the three

ice cream flavors.------------------------------------------------------------------------The table below shows the average test scores by class on four tests in Mrs. Smith’s English class.

27. On which test was the range in scores the smallest?A Test 1 B Test 2C Test 3 D Test 4

28. Which class had the highest mean score?A Class 1 B Class 2C Class 3 D Class 4

------------------------------------------------------------------------29. Fifty boys and fifty girls were surveyed about the

how many hours of television they watch per week.

Based on the finding, which is the following is true?A The boys’ upper quartile watched fewer hours of

television.B The girls’ median is 15 hours greater than the

boys’ median.C Both boys and girls watched the same amount of

television.D The girls’ lower quartile is 10 hours more than the

boys’ lower quartile.

30. John’s test scores were 90, 92, 88, and 100. Mark’s scores were 94, 90, 92, and 90. Which person has the greater mean absolute deviation?

A John B They have the same M.A.D.

C Mark D There is not enough data to determine.

------------------------------------------------------------------------The bar graph below shows the mean test scores for boys and girls in a math class.

31. Who had the greater median score for the week?

A Boys; 85 B Girls: 80C Boys; 82 D Girls; 84

32. How much greater is the girls mean score than the boys mean score for the week?

A 2 B 3C 4 D 5

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33. The following shows the results of a random sample of students from Kirby Middle School whom volunteered last month.

Based on the data, if 100 volunteers are surveyed, which statement would be most accurate?

A They will each complete at least 20 hours.

B Most will volunteers will complete between 6 to 12 hours.

C Most will volunteer at least 12 hoursD None of the above.

GEOMETRY

34. Don wanted to wrap the gift below. How much paper is he going to need?

A 3900 in2 B 270 in2

C 210 in2 D 185 in2

------------------------------------------------------------------------35. What is the measure of x?

A 63.8° B 57.8°C 56.2° D 66.2°

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36. Tammy is helping her mother finish a tablecloth for the kitchen table. She wants to put a piece of different colored trim along the outside edge. The tablecloth measures 6 feet across the middle. Tammy is supposed to figure out how much trim she needs to buy. What does Tammy need to calculate, and how much trim does she need?

A the area, 113.04 feet2

B the circumference, 18.84 feetC the area, 28.26 feet2

D the circumference, 9.42 feet

37. A company introducing a new candy wants to use one of the two boxes shown.

What is the volume of the box that will hold the most candy?

A 48 cm3 B 56 cm3

C 80 cm3 D 100cm3

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38. The diagram below shows similar right-angled triangle. What is the value of x?

A 40 centimeters B 22.5 centimetersC 18 centimeters D 33 centimeters

------------------------------------------------------------------------39. Asher is planning to paint his bedroom wall. A scale

drawing of the wall is pictured below. Each container of paint that he wants to buy covers 60 square feet. About how many containers of paint does he need to buy to paint the wall?

A One container B Two containersC Three containers D Nine containers

STATISTICS AND PROBABILITY

40. A bag contains 10 red gumballs, 9 green gumballs, 5 blue gumballs, and 6 yellow gumballs. What is the probability that you will randomly select a yellow gumball from the bag?

A B

C D 6

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41. While flipping two coins 50 times each, Nick recorded his data in the chart

Coins Landed FrequencyHeads/Heads 14Heads/Tails 26Tails/Tails 10

Based on the experimental probability, if the coins are flipped 150 times, how many times can we expect both coins to land on tails?

A 10 B 30C 52 D 72

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42. Jennifer is on her school’s softball team. So far this season, Jennifer has 33 hits in 75 times at bat. Based on her current batting average, what are Jennifer’s chances of getting a hit next time she is at bat?

A 0.33 B 0.42C 0.35 D 0.44

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43. At a carnival, 40 seventh graders put their names in a drawing for a new bike. 24 of the students were girls. What is the probability that a girl will win the bike?

A Likely B UnlikelyC Just as likely as not D Impossible

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44. Given a spinner with three equal sections and a standard number cube, what is the probability of spinning a letter “B” and rolling a number greater than 4?

A B

C D

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45. Ms. Trump’s class is eating lunch during their field trip. Two out of every five bagged lunches have a prize in them. What is the probability of someone in Ms. Trump class NOT getting a prize?

A 20% B 40%C 60% D 80%