Name: ______________________________

Date: January 26, 2017

Homeroom:

7th Grade Math:Unit:

Expressions and Equations

Packet 82: Unit Review

Objectives: Scholars will be able to review all of the Module 3 benchmarks in order

to obtain a mastery level (at least an 80%) on the Module 3 test.

Agenda:

1. Independent Practice2. Small Group Review (if behavior is

acceptable)3. Whole Class Review

Homework 82: Review for Unit TestDo Now: Your unit test is tomorrow. To begin class today, you will work on these questions independently. Try to answer every question, but if you get stuck, skip the question and move on. After independent practice, you will have the chance to work with a partner and then we will end class with a whole class review. If you can complete the questions in this study guide, you will be well prepared for the test! If you are still struggling, make sure you ask lots of questions now so that you are ready for tomorrow’s test. If you have any questions, you can call me until 10:00 pm tonight.

Thanks for your hard work,Mrs. Petrozzi

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1. The commutative property tells us we can perform some mathematical operations in any order. For which operations does the commutative property work?

2. Use the commutative property to expand the following expression:7(2x + 10)

3. Provide an example of the identity property of multiplication and an example of the identity property of addition.

4. Which of the following answer choices is already simplified?A. 6y + 10 – 5

B. -10p – 3s + 18

C. 7x + 8u + 8x – 9u

D. 4(8c + 12)5. Simplify the following expression:

14r + 9u – 7r + 22

6. Eli takes a taxi from a baseball game to his house. The cab company charges $1.50 for a flat fee and $0.75 per mile. Eli spent a total of $12.00 on the cab ride. Which equation represents this word problem?

7. Walito wanted to buy some flowers to plant around her house. While she was at the store, she bought 4 rose plants and 6 tulip plants. Each rose plant costs $17. Walito spent a total of $70. Let t represent the cost of one tulip plant. Write an equation to represent this situation.

8. Solve the following equation: 3x – 8 = 4

9. What would your first step be in solving the following equation: x−410

=40

10. Solve the equation below to find the value of x.

3(2y + 4) = -243

11. You are joining a gym so you can take basketball lessons. There is an annual membership fee of $50 and it costs $4.00 every single time you go. You only have $150 in your budget allowed for gym use. Set up an equation to represent this word problem and solve it to find the maximum number of visits you can make to the gym each year to stay within your budget.

12. List four numbers that would make the following inequality true:x > 10

13. Draw a number line and graph the following inequality:e ≥ 17

14. You decide to get a job over winter break selling magazines. You earn $2 for every magazine subscription you sell plus a salary of $10 each week. How many subscriptions do you need to sell each week to earn at least $40 each week? Set up and solve an inequality.

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15. Write the inequality represented by the following graph.

16. The diameter of a bicycle wheel is 30 inches. What is the area of the bicycle wheel?

17. A circular pizza has a radius of 10 inches. What is the circumference?

18. A circular tabletop has a diameter of 5 feet. What is the area of the tabletop? Leave your answer in terms of pi.

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–4 –3 –2 –1 0 1 2 3 4 5׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

19. How do the volumes and surface areas of these rectangular prisms compare? Show all of your work.

20. Name a right angle in the figure below.

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4 cm

2 cm9 cm

3 cm

3 cm8 cm

21. Harry is learning about mosaics in art club. His teacher passes out small square tiles and encourages the students to cut up the tiles in various angles. Harry’s first cut looks like this:

Part A: Write an equation that Harry could use to find the value of m. Solve the equation.

Part B: What is the measure of ∠TIL?Part C: What is the measure of ∠LIE?

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2m°

(m−12)°