Name__________________ Date__________________Class_____________ Teacher___________________

Video Link: Mrsvicuna.wordpress.com

Note to students: This packet is due on Monday, April 9th. If you need help with any of these problems, log on to my website and click on the link titled “April Break Packet”. Please try the problems on your own first, and then watch the video to check your answers.

If you have any issues, please email me on engrade.

Unit 1: Finding Greatest Common Factor and Least Common Multiple

1. Find the greatest common factor of 78 and 90.

(a) 1

(b) 2

(c) 3

(d) 6

2. Find the greatest common factor of 60 and 45.

(a) 15

(b) 5

(c) 10

(d) 20

3. Find the greatest common factor of 48 and 64.

(a) 2

(b) 12

(c) 16

(d) 24

4. Find the least common multiple of 3(5 - 3) and 2(6 - 2)

(a) 1

(b) 2

(c) 12

(d) 24

5. Find the least common multiple of 3(6 - 3) and 6(1 + 1)

(a) 3

(b) 36

(c) 24

(d) 73

6. Find the least common multiple of 2(8 - 6) and 7(6 - 5)

(a) 1

(b) 2

(c) 56

(d) 28

State test question!

#7

Unit 2: Ratios and Rates

7. Which ratio of the number of games won to the number of games played could also be included in this table?

Possible Basketball Games Won Show your work

(a) 3:4

(b) 4:6

(c) 8:9

(d) 14:20

Write an equation that represents the relationship between number of games won (w) and number of games

played (p)

Equation: ________________________

Use your equation to determine how many games are played if 26 games are won.

Number of Games Won

Number of Games played

2 3

6 9

16 18

18 27

Answer: _________ games played

8. Rihanna is running in the morning before rehearsing for a concert. She runs 18 miles in 72 minutes. How

long will it take her to run 5 miles?

Show your work

Answer: _______________

(b) How far will she travel per mile?

Answer: _______________

9. Jada orders a 12-ounce blueberry smoothie. The menu says that it contains 3 ounces of blueberries and 9 ounces of vanilla yogurt. Describe two different ratios in the smoothie.

1: ________________ 2: ________________

Sadia makes different sizes of blueberry smoothies, each using the same ratios as the 12-ounce smoothie. Complete the table to find the missing values.

Write an equation to show how much smoothie (s) there will be for any amount of blueberries (b) in a blueberry smoothie.

Equation: __________________________

What percent of the blueberry smoothie is made up of yogurt?

Show how you know

Answer: ____________What percent of the blueberry smoothie is made up of blueberries?

Show how you know

Blueberries (b) Yogurt (y) Smoothie (s)3 9 125 206 187

Answer: ____________Jada discovers another smoothie store called Samara’s Smoothies. Sadia uses the same ratio for all of her smoothies. Samara’s ratios are different than Sadia’s, which makes the strength of the blueberry flavor in their smoothies different from each other. Samara uses 3 ounces of blueberries for every 6 ounces of yogurt, which makes 9 ounces of smoothie.

Who makes the blueberry smoothie with the strongest flavor, Sadia or Samara?

Show how you know

Answer: ____________

Sadia sells her 12-ounce smoothie for $3.00. Samara sells her 9-ounce smoothie for $3.60. Who has the better value?

Show how you know

Answer: ____________

Unit 3: Rational Number Line

10. The summit of a volcano is 25 kilometers (km) above the ocean floor, as shown below.

If the ocean floor has an elevation of -15 km, which statement describes the elevation of sea level and the summit?

(a) The elevation of sea level is 0km and the elevation of the summit is 10km.

(b) The elevation of sea level is 5km and the elevation of the summit is 10km.

(c) The elevation of sea level is 0km and the elevation of the summit is 25km.

(d) The elevation of sea level is 5km and the elevation of the summit is 25km.

11. Below are the daily temperatures in Buffalo, N.Y. If the temperature continues to drop, what will the temperature be on Friday?

(a) -8

(b) -11

(c) -3

(d) -15

Day Temperature

Monday 38

Tuesday 24

Wednesday -2

Thursday -12

Friday

12. Juelz wants to plot -5 and -6 on a number line. Which statement is true?

Show how you know using an open number line

(a) Juelz should plot -5 to the left of -6 because -5 < -6.

(b) Juelz should plot -5 to the right of -6 because -5 < -6.

(c) Juelz should plot -5 to the left of -6 because -5 < -6.

(d) Juelz should plot -5 to the right of -6 because -5 > -6.

13. Is this statement true or false? -8 > -12

Show your work using an open number line

The statement is _______________ because ___________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

14. Is this statement true or false? -7 > -6

Show your work using an open number line

The statement is _______________ because ___________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

15. Point A represents the opposite of 4. Point B represents the opposite of -3. Which number line correctly shows point A and B?

(a) (c)

(b) (d)

16. Mrs. Vicuna went to put gas in her car in the Bronx. There were 4 gas stations she can choose from:

Which inequality represents the cost, c, of any price Mrs. Vicuna pays for gas?

(a) c > $1.95

(b) c ≤ $2.40

(c) c < $2.40

(d) c ≥ $2.40

Station 1 Station 2

$2.15 per gallon $1.95 per gallon

Station 3 Station 4

$2.40 per gallon $2.29 per gallon

Part A

17. Put these seven rational numbers in order from least to greatest. Use any strategy that makes sense to you.

29

100 -2.12 -13

10 3.08 -142

100 -1.6 2.8

Show your thinking using an open number line

Answer: _______________________________________________________________

Unit 4: Division of Fractions

18. Mrs. Vicuna wants to give out juice to her homeroom for doing AMAZING on the section sheet! She has a total of 28 ½ cups of juice to split with her homeroom. If she splits 28 ½ cups of juice into ¾ cups, how many students can get ¾ of a cup of juice?

Answer: _________ students

Unit 5: Equations

19. Which equation has the solution x = 2?

(a) 2x – 3 = 19

(b) 3x + 2 = 8

(c) 4x – 4 = 38

(d) 5x + 1 = 8

20. What is the solution of the equation below?

x + 8.63 = 11.001

(a) 19.631

(b) 10.138

(c) 3.471

(d) 2.371

21. Solve the equation below:

0.4r = 2.4

(a) r = 0.6

(b) r = 2.8

(c) r = 6

(d) r = .06

(e)

22. What is the solution to the equation below?

4w = 23

(a) w = 2

12

(b) w = 27

(c) w = 83

(d) w =3 13

23. The set of numbers 9, 12, 15, and 18 contains values for d. Which value for d makes the equation below true?

6d – 29 = 79

A 9

B 12

C 15

D 18

Unit 6: Expressions

#24Directions: Simplify each expression by combining like terms. Check using substitution!

Expression Expression Expression

2(4)3 3(1 + 2) 2

34 - 369

Expression Expression Expression

25 - 3253 – 82 + 7 x 3 42 + (5 - 1)

Expression Expression Expression

3 x 42 8(2)3 9 + 43 – 8 x 3

25. Simplify the expression: x + 2x + 5 + 4x

Simplified expression: __________________________Check BOTH expressions using substitution

26. Simplify the expression: 5y + 3x + 2 – 3y + 9

Simplified expression: __________________________Check BOTH expressions using substitution:

27. Simplify the expression: b + b + a + a + a + b

Simplified expression: __________________________

Check BOTH expressions using substitution

28. Simplify the expression: a + a + a + a + d × d × d

Simplified expression: __________________________

Check BOTH expressions using substitution

29. Look at the expression below:

12 (a + b) – (a – b)2

What is the value of the expression when a = 20 and b = 16?

Answer: ___________________

30. Expressions A, B, and C are shown below:

A B C

152 - 122 8(4)2 + 32 142 – 102 - 15

Which expression or expressions have the same value as 92 ?

Show your work to prove which expressions, if any, are equivalent

Answer: ______________