Name: Date: Period:________ Grade 7 Final Exam Review Day 1; No Calculator

1.) How do you know that a graph shows a proportional relationship? (What do you look for?)

1. _________________________________________________________________

2. _________________________________________________________________

Draw a graph to show an example of a proportional relationship and a non-proportional relationship.

2.) What another word for additive inverses? _________________________________

Give three examples of additive inverses. _________________________

_________________________ _________________________

3.) One day in Buffalo the high temperature was 17o F and the low temperature was -8o F. What was the difference between the high and low temperature? SHOW YOUR WORK!

Proportional Relationship Non-Proportional Relationship

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4.) Evaluate: –19 – (–5) = _________________

5.) Evaluate: –33 ÷ (–3) = _________________

6.) Evaluate: 2 35+(−5 710 )=¿

7.) Write an addition number sentence for each of the number line diagrams below.

A. Equation: _________________________________________

B. Equation: _________________________________________

C. Equation: _________________________________________

D. Equation: _________________________________________

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8.) Solve: –8.57 + (–5.96) =

9.) Solve: 3 18−(−5 35 )=¿

10) What is the decimal equivalent of 711 ?

11.) When rolling a fair number cube, what is the probability that an even number will be rolled? How many “evens” would you expect if you rolled that number cube 300 times?

12.) When rolling a fair number cube 240 times, how many times would you expect the number 3 will be rolled?

13.) A chance experiment consists of flipping a coin and rolling a number cube with the numbers 1 – 6 of the faces of the cube. What is the probability of getting a head on the coin and the number 1 on the number cube? Make a tree diagram to support your answer.

14.) Imagine that a family of three (Andy, Brianna and Charles) are playing a card game. The chance that any one player wins is one out of three. What is the probability that Brianna wins both the first and second game? Make a tree diagram or sample space (organized list) to support your answer.

15.) Using the diagram of the spinner, what is the probability that a player will spin the spinner twice and the pointer will land in the red region both times?

BLUE

GREENREDRED

16.) Use the distributive property to write an expression that is equivalent to 5(2x - 6).

17.) Using the table of data, what is the probability that a student has fewer than 3 siblings?

Number of Siblings 0 1 2 3 4

Probability 18

532

716

316

332

18.) David went bowling with $20 to spend. He rented shoes for $5.25 and paid $4.00 for each game. Let n equal the number of games David bowled and write an inequality to represent this situation.

19.) Write three different (but equivalent) expressions to represent the tape diagram below.

20.) Write an expression in simplest form that represents the sum of (2x + 5y) and (-3x - y).

d + 7d + 7 d + 7 d + 7

Name: Date: Period:______ #: ______ Grade 7 Final Exam Review Day 2; Yes, you may use your calculator

21. Which of the tables below does not show a proportional relationship?

A. B.

C. D.

22. The cost for dry cleaning 2 shirts is $18. What is k, the constant of proportionality?

23. Victoria went shopping at the supermarket and noticed the following price guide:

What would be the cost of 26 apples?

Number of Lunches

Price (Dollars)

3 7.504 108 202 5

Number of Lunches

Price (Dollars)

2 44 66 88 10

Number of Lunches

Price (Dollars)

1 43 125 207 28

Number of Lunches

Price (Dollars)

1 1.53 4.55 7.57 10.5

Number of Apples Cost ($)

4 2.00

5 2.50

9 4.50

24. The chart to the right shows the various prices for specific numbers of desks. Write an equation to represent the total cost, C, for x desks.

25. Find the unit price if 4 pounds of grapes cost $ 10.20.

26. If 34 lb. of parmesan cheese cost $ 5.74, how much would 2 34 lbs. of cheese cost?

27. Sally wrote the following equation that shows the relationship between h, the number of hours biking, and m, the number of miles traveled: m = 12h

How many hours has Sally been traveling if she has gone 210 miles?

Number of desks

x

Cost ($)C

10 55

20 110

50 275

100 550

28. A model of a car is made so that 1 inch represents 3 feet. What is the length of the actual

car if the length of the model is 4 14 inches?

29. Amber is shopping for some ice cream. She sees the following advertisements:

Which Ice Cream is the best buy in terms of unit price?

30. George went to Mighty Taco. He ordered a medium soda that cost $1.99 and 3 tacos. If the total was $6.46, how much did each taco cost?

Eddy’s Ice Cream

$5.20

12-ounce container

Beyer’s Ice Cream

$8.40

30-ounce container

Old Fashioned Ice Cream

$12.00

50-ounce container

31. Solve each of the following two-step equations. A.) 2n + 6 = 16 B.) 2n – 5 = 7 C.) 5n – 6 = 39 D.) 3n - 4 = 17

32. For the following set of data, find the mean, the median, the mode and the range.

1 1 9 7 3 8 4 1 2 8

33. Emily wants to know the favorite song of students in the middle school. Which activity will give Emily the best information?

A. Survey every student in her math class.

B. Ask all the teachers in her school.

C. Observe the students in the school band room for a week.

D. Survey every tenth student leaving the band room.

34. Brandon’s mother wants to help him with his math homework. She puts 30 cookies in a cookie jar. Fifteen of the cookies are chocolate chip, 8 are oatmeal, and 7 are peanut butter. She then asks Brandon to select a cookie from the jar without looking. What is the probability that Brandon will pick a chocolate chip cookie first?

35.) Draw a graph that represents the inequality

36.) Solve the equation,34 n−12=3 .

A.) 90 B.) 30 C.) 20 D.) 6

37.) Look at the equation below. The equation was solved using number properties; write the number property shown in each step.

Line 1: 13 (3x + 18) = 8 Given.

Line 2: x + 6 = 8 ___________________________

Line 3: x + 6 + (-6) = 8 + (-6) ___________________________

Line 4: x + 0 = 8 + (-6) ___________________________

Line 5: x = 8 + (-6) ___________________________

Line 5: x = 2 Simplify. _

x ≤ 20 .

38. Amy asked a random survey of 60 students from her school’s 7th grade to identify their birth month. There are 300 students in 7th grade. Amy’s data is shown in the table below.

Birth Month Number of StudentsJanuary 3

February 0March 3April 24May 6June 3July 6

August 3September 2

October 2November 4December 4

Which of the statements about Amanda’s 7th grade class is best supported by the data?

A. Exactly 8% of the students have an April birth month.

B. There are no students that have February as birth month.

C. There are probably more students that have an April birth month than a November

or December birth month.

D. There are probably more students with a June birth month than a July birth month.

39.) What is the circumference of a circle that has a radius of 8 inches? Round your answer to the tenths place.

C = 2πr or C = πd

40.) What is the area of a circle that has a radius of 8 inches? Round your answer to the tenths place.

41.) Chris invested $1,400. 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 Chris received at the end of 36 months?

42.) Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 8%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?

I. 0.92cII. c – 0.08cIII. c + 0.08c

A.) I. only B.) II. only C.) I. and II. only D.) I. , II. , and III.

A = πr2

43.) David bought a computer that was 20% off the regular price of $1,850. What was the amount of money that David saved?

44.) Suzanne bought a sweater at a sale price of $25. The original cost of the sweater was $40. What percent discount did Suzanne received when buying the sweater?

45.) An angle is 35 degrees. How many degrees are in the complement of this angle?

46.) The measure of a supplement of an angle is 20 ° more than twice the measure of the angle. Find the measures of the two angles.

47.) Two line segments meet at a point.

Angles r and t are:

________________________

48.) Write and solve an equation to find the value of x.

49.) Two line segments meet at a point. Find the value of x.

50.) Two figures that are the same size and shape are called _______________________.

51.) In the figure below, angle E corresponds to which angle? _______________________

Side DE corresponds to which side? ______________________

108°

52.) Find the surface area of the rectangular prism below.

SA=2lw+2 lh+2wh

53.) Use the distributive property to multiply the following:

(2a)(3a+4)

54.) Find the volume of the cylinder below. Round to the nearest hundredth.

55.) Julia’s service charge at a beauty salon was $64.00 before tax. If the sales tax rate is 8%, what is the total she will pay for the service at the salon? If Julia want to leave a 15% tip for her stylist, how much money should she give her stylist? (Tips are based on the service charge not including the tax.).

V=π r2h

56.) Lee works selling electronics. He earns a 7% commission on each sale he makes. If Lee wants to make $100 in commission, what is the dollar amount of electronics he must sell?

57.) 66 is what percent of 44? Round to the nearest percent (if necessary).

58.) The Lions won 20 games last year. This year the Lions won 24 games. What is the percent increase in the number of games the Lions won from last year to this year?

59.) Write the fraction 18 as a decimal and as a percent.

60.) Coretta buys a pair of jeans that are on sale for 20% off. The regular price is marked as $35.00. What is the sale price of the jeans?