Name ______Date ______Period _____

Variables and Patterns – UNIT TEST – REVIEW

1)Evaluate the following for and . Show all of your steps to receive full credit.

2)At the beginning of his mathematics class, Mr. Parnell gave a warm-up question.

a)Write an equation to represent the problem.

b)Solve and check the equation.

3)Insert to complete the number sentences below.

a) / b) / c)

Ben decides to start a business walking dogs and cleaning swimming pools. It takes him 15 minutes to walk one dog and 20 minutes to use a skimmer and clean one swimming pool.

4)Write an expression to show how long it would take Ben to walk some dogs and clean some swimming pools. Define your variable.

5)Evaluate (Simplify) your expression to see how long it would take Ben to walk 6 dogs and clean 8swimming pools. Show all of your steps to receive full credit.

Chase and Amanda each simplified the following expressions.

6)Simplify both the expressions to see which student simplified their expression correctly.

Chase / You / Amanda / You
14 – 2 • 6 + 3
14 -12 + 3
2 + 3
5 / 36 ÷ 6 • 2 + 8
36 ÷ 12 + 8
3 + 8
11

7)Who did not simplify their expression correctly? Explain.

8)Translate the following verbal phrases:

a)Four times a number is ninety-six. ______

b)The quotient of a number and five is three.______

c)The difference between a number and eighteen is twenty. ______

9)Solve the following equations(Rewrite, Solve with Inverse Operation, Circle). Show all of your steps to receive full credit.

10)Simplify the following expressions. Show all of your steps to receive full credit.

11)Ms. Metzger is planning a surprise party. She needs at least 25 party favors for her guests. Let represent the number of party favors she purchases. Write an inequality to represent the problem.

12)Sally is ordering some books on the internet. Each book costs $10 and the shipping for the entire order is $5. Sally has no more than $60 to spend. Write an inequality to represent the problem. Define your variable.

13)Circle the number that could replace the value of

14)A roller-blade supply store rents roller blades for .

a)Using increments (multiples) of 5 skaters, make a table showing the total rental charge for 0 to 50 skaters.

Number
Of Skaters / 0
Price
Number
Of Skaters / 50
Price

b)Using graph paper, make a coordinate graph of the data.

c)Identify the independent, dependent variables, and include a title on your coordinate graph.

d)Does it make sense to connect the points on your coordinate graph? Explain.