7th Grade

Name_________________________________ Date____________ Pd_______ Cronnelly

Skills Looping Study GuideChapters 1-8

7.EE.1 - Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients

1) Simplify the expression using the distributive property and combining like terms.−6 r+2(9.3 s−1.5 r )

7.EE.2 Understand how to rewrite an expression in a different forms

2) Samsung is launching their new Samsung G7 Edge. The suggested manufacturer retail price is $794.00. AT&T is expecting the phone to be very popular. They have decided to mark it up by 30%. Which of the following expressions could be used to calculate the cost of the new Samsung phone including the mark-up amount?

I II III IV V VI

a. II and I d. III and Vb. IV and VI e. III and VIc. IV and V

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7.EE.3 - Solve multi-step real-life and mathematical problems converting between forms (whole, frac and dec) as appropriate.

3) Keelan is training her new horse. On any given day, she takes her horse 13 laps around the training area. If the distance from the barn to the training area is 0.6 miles, and one time around the training

area is 18 of a mile, how many total miles did Keelan ride her horse from the barn, around the training

area, and back to the barn?

7.EE.4a - Solve and write equation with rational numbers.

4) Solve for n. 32+n4=2

5) What is the value of t in the given equation? 3 (4 t−9 )=21

6) The perimeters of the squares shown below are equal. Write an equation that can be used to find the value of x?

2 x−3

2 x−3

7.EE.4b - Solve, graph, and write inequalities with rational numbers.

7)

8) Rhonda raised $245 for her softball team’s fundraiser. She wants to raise no less than $455. Write and solve an inequality to determine how much more money Rhonda must raise to reach her goal. Let d represent the amount of money in dollars Rhonda must raise to reach her goal.

7.NS.1a - opposite quantities

9) In which of these situations would the answer to the question be 0?

A) Teddy jumped into a pool from a diving board 8 feet above the water. He sank 8 feet and then swam straight up to the surface of the water. How many feet did Teddy swim?

B) Jerry left his house and walked 1.5 miles directly west. The he walked 1.5 miles directly east. At this point, how many miles was Jerry from his house?

C) A trail begins at an elevation of -50 feet. The trail ends at an elevation of 50 feet. By how many feet does the elevation of the trail change from beginning to end?

D) The low temperature one day was -3° Celsius. The high temperature that day was 3°Celsius. What is the difference between the low temperature and the high temperature that day?

7.NS.1bc - Addition and Subtraction of rational numbers: rules, number lines, absolute value and distances, real-world

10) Look at the movement on the number line below. Write an equation that would represent the movement?

11) Solve the following expression −57 − 316

7.NS.1d - Apply properties of operations as strategies to add and subtract rational numbers

12) –15+8– (−11)=¿

7.NS.2a - Understand Multiplication of rational numbers; Interpret products of rational numbers by describing real world contexts.

13) What is the product of (−14 )(−37 )A) −712 B) −328 C) 328 D) 712

14) Which of the following would have a positive product?A) (− y )(− y ) C) 2(− y )

B) (− y )(− y )(− y ) D) (− y )(− y )(− y )(− y )

7.NS.2b - Understand Division of rational numbers; Interpret quotients of rational numbers by describing real world contexts.

15) Which of the following is equivalent to −ab ?

I) II) III) IV)ܽ�

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(-1) െ�ܽ�ܾ�

7.NS.2c - Use properties of operations as strategies to multiply and divide rational numbers.

16) Solve the following expression 32 ( 46−163 ) 7.NS.2d - Convert fraction to decimals; Terminating and repeating decimals.

17) What is the decimal equivalence to the fraction 715 ?

7.NS.3 - Solve real-world problems involving the four operations with rational numbers.

18) Megan bought Chex cereal so she could make Chex mix. The first box had 6 12 cups of Corn Chex,

and the second box had 5 14 cups of Rice Chex, and the third box had 2 34 cup of Wheat Chex. How

many 1 14 cup servings can Megan make out of all the boxes of Chex cereal?

A) Only I and IIB) Only IIIC) I, II, and IIID) I, II, and IV

7.G.1 - Scale Drawings

19) A scale drawing for a construction project uses a scale of 1 inch = 4 feet. The dimensions of the rectangular family room on the scale drawing are 7.5 inches by 12 inches. What will be the actual area of the floor of the family room after the construction project is completed?

7.RP.1 -Compute UNIT RATES associated with ratios of fractions

20) What is the unit rate of walking 78 mi in 34 hr?

7.RP.2a -Decide whether two quantities are in a proportional relationship by testing for equivalent ratios in tables or graphs

21) The cost of the books is directly proportional to the number of books purchased. Which graph could represent this scenario?

Books

A) B)

Books

Cost

C)D)

Books

Cost

7.RP.2b - Identify the Constant of Proportionality; 7.RP.2c - Represent a proportional relationship by equations

Use the following graph and information on problems 22-23.

The graph below shows the relationship between the number of sodas consumed by employees at a company. Use the graph to answer the next two questions.

22) Write an equation that shows the relationship between the number of days, x, and the number of sodas, y?

23) Write the ordered pair that represents the unit soda consumption.

7.RP.2d - Explain what a point (x, y) on a graph of a proportional relationships means. Know significance of (0, 0) and (1, r)

24) The graph below shows a proportional relationship between the amount of sprinkles used for each scoop of ice cream.

Using the information in the graph, if 10 scoops are sold, how many teaspoons of sprinkles would be used?

7.RP.3 -Applications with percent

25) Mrs. Ketchum is getting ready for summer. She needs a new patio furniture set. Big Lots is having a sale where all patio furniture is 20% off. She finds the perfect patio set and the regular price is $349.99. What will Mrs. Ketchum pay before taxes?

26) Jake has a coupon for 25% off at the Hallmark store where he plans on purchasing a Mother’s Day card. He decides to purchase a music card for his mother that costs $9.95. The sales tax is 7%. What is his final cost?

27) Charis invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?

28) What is the percent of change for the following situation?

12 is increased to 30

7.SP.5 - Likelihood of a Chance Event

29) If an event is unlikely to occur, write a fraction that would describe the probability that the event will occur?

7.SP.6 – Approximate the probability of a chance event by collecting data and observing long-run relative frequency; Make predictions based on probability.

30) Reagan will use a random number generator 1,800 times. Each result will be a digit from 1 to 6. Predict how many times the digit 4 will appear among the 1,800 results?

7.SP.7a – Probabilities of events

31) Brian spun a spinner 300 times and recorded whether it landed on yellow, blue, or red.

Result of Spin Number of timesYellow 78Blue 112Red 108

If Brian spins the spinner 150 more times, approximately how many times would you expect that the spinner will land on red?

7.SP.7b – Develop a probability model by observing frequencies generated by a chance process and use to find probability of an event.

32) The chart below shows the results when the same spinner was spun 20 times.

Which spinner would most likely produce these results?

Spinner Results

7.SP.8a – Probability of compound events.

33) Hayden has a fair spinner divided into four congruent sections numbered 1 through 4, as shown below.

Hayden spins the arrow two times. The list in the box below shows all of the possible combinations that can be made by spinning the arrow two times.

1 1 2 1 3 1 4 11 2 2 2 3 2 4 21 3 2 3 3 3 4 31 4 2 4 3 4 4 4

What is the probability that the arrow will land on a section containing an odd number both times?

7.SP.8b – Represent sample spaces for compound events using lists, tables, diagrams; Identify outcomes in the sample space.

34) Kayla has 4 purses and 3 wallets in her closet. All the purses and wallets are the same size, shape, and material. The table below shows the colors of Kayla's purses and wallets.

Purses Wallets1 tan 1 oxblood

1 black 1 cowhide1 Leopard 1 black paisley

1 red

Kayla will pick one purse and one wallet from her closet without looking. What is the probability that Kayla will pick a black purse with a cowhide wallet?

7.G.5 - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Answer the following questions about the relationship of the given angle pairs.

35) ∠1∧∠3are examples of which type of angle?

36) ∠6∧∠8are examples of which type of angle?

7.SP.A.2 - Use random sampling to draw inferences about a population.

Answer questions 37-42 using the given dot plot below:

X 480

3x + 4 2x + 6

8x – 6 4x + 12

37) The mean of the data set of numbers is:38) The median of the data set of numbers is:39) The first quartile of the data set of numbers is:40) The third quartile of the data set of numbers is:41) The range of the data set of numbers is:42) The interquartile range of the data set of numbers is:

7.G.5 - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

43) Solve for x.

44) Solve for x in the equation and solve for the two angles.

45) Solve for x in the equation and solve for the two angles.

7.SP.3 - Draw informal comparative inferences about two populations.

47)

7.G.2 - Draw construct, and describe geometrical figures and describe the relationships between them.

48) Write a “P” for possible or “I” for impossible if the degree values would construct a triangle.

A) 132◦, 58◦, 20◦B) 42◦, 115◦, 23◦ C) 66◦, 104◦, 10◦D) 21◦, 111◦, 48◦

49) Write a “P” for possible or “I” for impossible if the side length values would construct a triangle.

A) 11, 20, 32

B) 8.5, 14.5, 22.9

C) 9, 7, 15

D) 15, 26, 50

7.SP.A.1 - Use random sampling to draw inferences about a population.

50) A middle school has:220 students in grade 6; 170 students in grade7; and 100 students in grade 8.

The librarian wants to know which books are the most popular among the students in her school. Since she cannot ask all the students, she will survey a group of them. Which sample can best help her to draw conclusions about the preferences of all the students in the school?

A) 45 sixth graders, 35 seventh graders, 20 eighth graders B) 20 sixth graders, 35 seventh graders, 45 eighth graders C) 45 sixth graders, 45 seventh graders, 45 eighth graders

D) 20 sixth graders, 20 seventh graders, 20 eighth graders