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Name: __________________________________________ Date: __________________

Pre-Algebra- Chapter 5 Review Worksheet

Directions: Name the set(s) of numbers to which each number belongs. Use the symbols:

W = whole numbers, N = natural numbers, Z = integers, Q = rational numbers, I = irrational numbers

1) 9 N W Z Q I 2) [pic] N W Z Q I

3) [pic] N W Z Q I 4) -8 N W Z Q I

5) [pic] N W Z Q I 6) [pic] N W Z Q I

Directions: Express each decimal as a fraction or mixed number in simplest form.

7) [pic] = ________ 8) [pic] = ________

9) [pic] = _______ 10) -[pic] = _________

11) 0.875 = ________

Directions: Express the following fractions or mixed numbers as decimals. Show your work in the space below, if needed.

12) [pic] 13) [pic]** must show work!

14) [pic] 15) [pic]

16) [pic]

Directions: Write [pic] or = in each blank to make a true sentence.

17) [pic] 18) [pic] 19) [pic]

20) [pic] 21) [pic] 22) [pic]

Directions: Multiply or divide the following fractions or mixed numbers. Write your answer in simplest form. Show your work.

23) [pic] 24) [pic]

25) [pic] 26) [pic]

Directions: Find each sum or difference. Write your final, simplified answer on the line. Show your work.

27) [pic] 28) [pic]

29) [pic] 30) [pic]

31) [pic]

Word Problems: Answer each of the following word problems, showing your work.

32) Lucy asked her mom what [pic]is in decimal form. She said that it is 2.8. Is Lucy’s mom correct? If

not, is Lucy’s mom’s answer greater than or less than the actual answer? Justify your answer.

33) Each dozen cupcakes requires [pic] cups of sugar. How many dozens of cupcakes can be made from 7

cups of sugar?

34) A train is traveling at an average rate of 85 miles per hour. Write and evaluate an expression that can

be used to determine how many miles the train will travel in [pic] hours.

35) Jim says that [pic]. Why is this incorrect?

36) Ms. Bupp’s class received [pic]of the votes for the door decorating contest. Mr. Dougherty’s class

received [pic]of the votes. Mrs. Garcia’s class received the rest. What fraction of the votes did Mrs.

Garcia’s class receive?

37) A batch of chocolate chip cookies requires [pic]cups of flour. A batch of snickerdoodle cookies

requires [pic]cups of flour, and a batch of peanut butter kiss cookies requires [pic] cups of flour. How

much flour do these cookies require in all?

38)

Error Analysis

Look over the following work. Two students made mistakes. Identify which two students made mistakes, and correct their work to get the correct solution.

Janet Monica Fred Jack

[pic] [pic] [pic] [pic]

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