Name:______________________________________ Date:_____________

Math 7 Accelerated End of Module 7.2 Review

1.) Kay’s mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00.

a.) If x represents the quantity of ornaments sold at the craft fair, which of the following expressions would represent Kay’s profit?

A.) 6x – 2.50x

B.) 6x - 2.50x - 30

C.) 6x – 30

D.) 8.50x – 30

b.) Kay does not want to lose money on her business. Her mother told her she needs to sell enough ornaments to at least cover her expenses (cost for materials and table rental). Kay figures that if she sells 8 ornaments, she covers her expenses and does not lost any money. Do you agree? Explain and show work to support your answer.

c.) Kay feels that if she earns a profit of $40.00 at this craft fair, her business will be successful enough to attend other craft fairs. How many ornaments does she have to sell to earn a $40.00 profit? Write and solve an equation.

2.) Alex works morning and night 4 days a week. His schedule is the same each day. He works at Macy’s for 2 hours in the evening. If he works a total of 32 hours, how many hours does he work each morning at Best Buy? Create a tape diagram, write an equation, and solve.

3.) Jack and Nancy are playing the integer game and their hands are below.

Jack’s Hand Nancy’s Hand

a.) What is the score of each of their hands? Jack: ________________ Nancy: ________________

b.) Nick says that if each player removes a 7 from their hands that Jack’s hand will have a higher score. Kevin says that their scores will be the same? Who is correct? Explain.

4.) Solve the following Equations and Check your solutions.

a.) -6n + 2 = 26 CHECK

b.) 3123

�x

CHECK

5.) One day you buy 2 shirts for $8.50 each plus three pairs of pants for d, dollars. I spent a total of $64.25. Write and solve an equation to find the price of one pair of pants.

Let d = The price of a pair of pants.

Algebraic Equation:

6.) Use the properties of operations to evaluate the problems below.

a.) -8.1 – (-2.8) + 8.1 b.) 4326

315 ���

7.) You want to make a scale model of a building that measures 135 ft tall. You decide to use a scale of 1cm represents 4.5 feet, how tall is the model building?

8.) What is the unit rate?

9.) Alex bought 3 cupcakes for $7.50, and 5 cupcakes for $12.50. Which equation would relate the price, p, to the amount of cupcakes bought, c.

10.) Four friends go to the carnival. Each person needs to buy a ticket for $10 and 3 boxes of candy each which cost d dollars. Write an expression to represent the total cost.

11.) Evaluate the following: 25 + (-4) – (-12)

12.) Evaluate the following: (-3)(-6) + (-22)

13.) Evaluate the following: 41

412 y�

14.) Evaluate the following: 212

436 ��

15.) Evaluate the following: 9 – (-1) – 12 + 7

X Y 2 11 4 22 6 33

Properties Word Bank

Additive Identity Associative

Commutative Distributive

16.) Name the property: (a)(b) = (b)(a) _________________

17.) Name the property: (a + b) + c = a + (b+ c) ___________________

18.) Name the property: a(b + c) = ab + ac ___________________

19.) Name the property: a + 0 = a ____________________

20.) Convert the following decimal to fraction in simplest form.

a.) .12 b.) 3.2

21.) Convert the fraction to decimal.

a.) 94 b.)

53

22.) At 12pm in Alaska the temperature was -7oF, by 6pm the temperature dropped to -120F. What is the CHANGE in temperature from 12pm to 6pm?