3rd Nine Weeks Mid-Point Study Guide/Cronnelly

1) Is the graph below proportional? YES or NO

Explain how you know if it is proportional or not? _______________________

2) Is the table below proportional? YES or NO

Explain how you know if it is proportional or not? _______________________

3) Circle whether the graphs below are proportional or non-proportional.

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

4) Is the table below proportional? YES or NO

Explain how you know if it is proportional or not? _______________________

5) Write the equation using y=kx format for the following table, graph, or word phrase.

Equation: ___________

6) The graph shows the relationship between the number of songs and thenumber of hours it takes to play those songs. Select All the statements about the graph that are true.

A) The point (2, 15) shows that 15 songs are played every 2 hours. B) The point ( 4, 30) shows that 4 songs are played every 30 hours.

C) The point (1, 7.5) shows that 712 songs are played every hour.

D) The point (8, 60) shows that 8 songs are played in 60 hours.

E) The point (3, 24.5) shows that 2412 songs are played every 3 hours.

7) Write the equation using y=kx format for the following table, graph, or word phrase.Equation: ___________

3 gallons of gas costs $12.72

8) Write the equation using y=kx format for the following table, graph, or word phrase.Equation: ___________

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

7.RP.2b – Identify constant of proportionality (unit rate) in tables, graphs, equations and verbal descriptions.

9) Identify the constant of proportionality for each relationship.

a) g= ½x b) six shirts for $10.86

c) d)

e) f) 32 Great Danes weigh 480 pounds

g) a = 0.25b

h) i)

Time (hours) Distance (miles)2 903 1355 2256 270

X Gallons Used

Y Miles Driven

8 2801025

420

10) Write the equation using y=kx format for the following table, graph, or word phrase.Equation: ___________ Equation: ___________a)

b)

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

11) The graph shows the relationship between the number of hours and the cost of electricity.

a. What does (0,0) represent?b. What is the constant proportionality? c. Which points would be true about the graph

1. (4.5, 45)2. (8, 18)3. (9, 80)4. (12.5, 125)5. (5, 40)

Simplify:

12) 19x−16(3−1 1

2x) 13) 10(6 r−2)

Simplify and then factor:

14) 8r+10 s−32r+6 s 15) 48r−6 (4 r−10 s )−8 s 16) −18 (2 r−8 )−12 r

Solve:

17) −3 x−4(−3 x+10)=41 18) −6 x−4 (3 x−11)=−64 19) v6−94=−43

20) −2 p−3=−19 21) −9=−11+ b8

Solve and graph.

22) 2>x3−1 23) −2 x−5≥9

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

24) Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $5. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount? Write, solve and graph an inequality to represent this scenario.

25) Bert already has $80 but needs a total of at least $250 for his holiday. He gets paid $20 per day for delivering papers. What is the least number of days he must work to get enough money for his holiday?

26) List some of the possible values of x that would satisfy the inequality 7≤4 x+27.

27) Graph the solution for −7 x−18>3

28) You have stopped at Juniors for lunch. You have 3 choices for your entrée: fried catfish, meat loaf, or fried chicken. You have a choice of three vegetables: green beans, okra, or mashed potatoes. And either a roll or a piece of corn bread for your bread.

A. What is the probability for you ordering fried chicken, okra, and corn bread? (write your answer as a fraction)

B. What is the probability of you ordering catfish with green beans? (write your answer as a percent)

C. What is the probability of you ordering mashed potatoes with a roll? (write your answer as a percent)

29) What is the decimal equivalence for each fraction?

A . 1618 B.

1112 C.

2399 D.

1324

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

30) When changing these fractions to decimals, which number is being repeated?

A . 1618 B.

1112 C.

2399 D.

1324

Ethan was playing a game where he must draw tiles out of a bag that have the alphabet on each individual tile and then return the tile to the bag. To win the game, he must pull a vowel from the bag exactly 4 out of 6 times.

Ethan designed a simulation by using a spinner divided into 6 equal sections labeled 1 through 6. Sections 1 and 2 represent vowels and 3 through 6 represent consonants. He spun the arrow on the spinners 6 times and wrote down his results. Ethan performed this simulation 20 times. The results of the simulation are shown below.

554321 164252 463322 426521 211524

423221 231561 534122 612511 435162

422165 521211 225415 432123 656421

421522 432115 521421 134216 512142

31) Based on the results of this simulation above, how many times is Ethan likely to win the vowel game?

32) Mrs. Ketchum (K), Mrs. Austin (A), Mrs. Cronnelly (C), and Coach Miller (M) will be on duty in the commons area together. If only 2 of these individuals will be in the commons area at any one time, which table below lists all the combinations possible?

33) A rescue shelter contains 70 animals which consists of:

35 cats 25 dogs 10 birds

Use the vocabulary impossible, unlikely, neither likely nor unlikely, likely, or certain to describe the probability of the events occurring below.

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

Probability of selecting a cat: _________ Probability of selecting a dog: _______Probability of selecting a bird: ________ Probability of selecting a pig: ________Probability of selecting an animal with legs: ________ Probability of selectin a cat or dog: ________

34) Betsy rolled a number cube 300 times and recorded the results of each toss. How many times could Betsy expect to roll a 4?

A. Exactly 50 timesB. Close to 50 times, but probably not exactly 50 timesC. Exactly 100 timesD. Close to 100 times, but probably not exactly 100 times

35) Jackson’s coach gives prizes for players with no errors in a game. After their last game he took the 5 students who had no errors in the and numbered them off. He’s going to use the spinner below to choose the students who will get the prize.

Is the above spinner an example of a “UNIFORM” or “NON-UNIFORM” probability model?

Each of the 5 players have a probability of ______________ to be chosen.

36) This table shows the results of selecting a color of M&M from a bag without looking.

Color Avg Class Estimate

red 7yellow 9green 15blue 14brown 5

Using the results from the table, what is the probability that a green M&M will be selected next?_____

37)

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

A) Look at the table above. What atom should be combined with Nitrogen to get a zero charge?B) What atom should be combined with Magnesium to get a zero charge?

The diagram below shows two events.

The desired results for “Event A” is to spin an even number. The desired results for “Event B” is to spin consonants.

38) What is the probability of spinning a 1 or 3 from “Event A” and vowels from “Event B”?

A.14 C.

310

B.47 D.

25

39) Which expression could be solved to find the probability that either Event A or B will occur?

A.24−35

B.24× 35

C.24+¿

35

D.24÷ 35

40)

A) Write an absolute value expression to find the distance between -3 12 and 4

12 .

B) Write an absolute value expression to find the distance between -7 12 and -3

12

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

C) Write an absolute value expression to find the distance between 12 and -

12

D) Write an absolute value expression to find the distance between -2 and -4.

41) Yesterday, the temperature at noon in Minnesota was 11.4o F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight?

42) Solve each of the following :

a. –3 45+(−6 2

3) b) 2

29+(−4 1

3) c) −1

58−(−5 3

4)

43) Graham’s monthly bank statement showed that he started the month of February with $447.86 in his account and showed the following deposits and withdrawals:

A. Write a numerical expression that represents the change in the amount of money Graham has in his bank account.

B. What was his account balance at the end of the month?

A basketball team needs 30 uniforms for next season.

A uniform consists of a jersey, shorts, and shoes. Jerseys cost $45.50, shorts, $32.50, and shoes cost $89.00. They will also purchase one game ball for $38.00 Sales tax is included in the prices.

44) What is the amount of money the team will have to pay just for shoes?

45) What is the total cost the team will have to spend on all 30 uniforms and the one ball?

46) 3÷=¿ 47) 18×1=¿ 48) −16÷2=¿

49) 6×1=¿ 50) −2÷−4=¿ 51) 4×4=¿ 52) 3÷2=¿

53) Kenny signed 34 of the Valentine’s Day Cards, and Sam signed

112 of them. If there are 96 cards in all,

how many are left to be signed?

3rd Nine Weeks Mid-Point Study Guide/Cronnelly

54) During the month of June, Kroger sold 18.5 lbs, 16.26 lbs, 19.2 lbs, and 14.54 lbs of crab legs. If the store started out the month with an inventory of 200 lbs of crab legs, how many were left at the end of the month?

55) Calvin is using a recipe that requires 23 cups of flour for every 3 cups of milk. If Calvin uses 12 cups of

milk, how many cups of flour are needed?