Ratio & Proportional Relationships (7.RP.1.1 & 7.RP.1.2) – Module 4 Name: ______

1. Explain how to find a unit rate. ______

2. A recipe calls for cup of sugar for every 2 teaspoons of vanilla. How much sugar should be used for every 1 teaspoon of vanilla?______

3. Find each unit rate. Determine which has the lower sodium. ______

Brand A: 240 mg sodium for pickle Brand B: 325 mg sodium for ½ pickle

Unit Rate: ______Unit Rate: ______

4. In y = kx, which variable is the constant of proportionality? ______

5. Is the following a proportional relationship? Explain why/why not. ______

Time (min) / 1 / 2 / 3 / 4
Number of Words / 45 / 90 / 135 / 180

6. Find the constant of proportionality, k. Then write an equation for the relationship between x and y.

k = ______, equation: ______

X / 2 / 4 / 6 / 8
y / 10 / 20 / 30 / 40

7. A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes. Find the constant rate at which the submarine dives in feet per minute and write the equation for the proportional relationship. ______

Ratio & Proportional Relationships (7.RP.1.3) – Module 4 & 5 Name: ______

1. How do you find the percent increase or percent decrease?

______

2. The price of a pair of shoes increases from $52 to $64. What is the percent increase to the nearest percent? ______

3. Find the amount of sales tax if the sales tax rate is 5% and the cost of the item is $40. ______

4. Adam borrows $400 on a 4-year loan. He is charged 5% simple interest per year. How much interest is he charged for 4 years? ______What is the total he has to pay back? ______

5. What is the difference between a markup and a markdown? ______

6. A shoe store buys a pair of boots from a supplier for b dollars. The store’s manager decides on a markup of 35%. Write an expression for the retail price of a pair of boots. ______

7. If the original price of a pillow is $15.00 and it is marked down 24% for a sale, how much is the discount? ______

8. Find the sale price if the original price was $45.00 and the markdown was 22%. ______

Expressions & Equations (7.EE.1.1 & EE.1.2 & EE.2.4) – Module 6 Name: ______

1. Simplify: 6x + 3y – 2 + 3x – y + 5

2. Simplify:

A. 5(4h + 2j)B. (9x – 2y)(3)

3. Factor:

A. 2x + 4B. 3x – 18C. 4x + 20

4. Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $2 per chore. Write an expression for how much their parents give Steven and Jill each week if they do the same number of chores. ______

5. Solve:

A. 4.9 + z = -9 B. 6 =

C. D. -65.1 = -4.2x + 21.5

6. Madison rented a bicycle while she was on vacation. She paid a flat rental fee of $55.00, plus $8.50 each day. The total cost was $123. Write an equation you can use to find the number of days she rented the bicycle. ______

7. Holden bought a ski jacket on sale for $6 less than half its original price. He paid $88 for the jacket. What was the original price? ______

8. The perimeter of a rectangular garden is 37 ft. The length of the garden is 15 ft. What is the width of the garden? ______

The Number System (7. NS.1.1) – Module 1 Name: ______

1. Solve:

A. 2.3 + 1.2B. 3 + (-3) C. 3 + 7 – ( -10) D. -3 – ( -4)E. -5 ½ + 7 ¾

2. A diver’s elevation is -30 feet relative to seal level. She dives down 12 feet. What is her elevation after the dive? ______

3. Megan and Jake both live on the same street as their library. Jake lives 4.5 km west of thelibrary. Megan lives 5.5 km east of the library. How far apart do Megan and Jake live? ______

4. The temperature in the morning was -3˚ F. The temperature dropped 11 degrees by night. What was the temperature at night? ______

5. Write a word problem that can be modeled by the addition of two negative numbers. ______

The Number System (7. NS.1.2, 1.3) – Module 1 Name: ______

1. A. What is written as a decimal? ______B. What is written as a decimal? ______

2. Solve:

A. (-5)(-7)B. -5 ÷ 0.5C. D. (-1.5)(0.25)(-3) E. (-3)(-6) – 7

3. What is the product of -2 and 5? ______

4. Springfield has an elevation of -150 feet. Greenville is 3 times as far below sea level as Springfield. What is Greenville’s elevation in feet? ______

5. Clara played a video game before she left the house to go on a walk. She started with 0 points, lost 6 points three times, won 4 points, and then lost 2 points. How many points did she have when she went on the walk?
______

6. At 8:00, the temperature was 6°C. Three hours later, the temperature was-13°C. By how many degrees Celsius did thetemperature change?
______

7. The change in the price of a certainbrand of cookies each year for five yearsis shown.

Year / Change in $
1 / + 0.20
2 / + 0.30
3 / -0. 15
4 / + 0.05
5 / - 0.07