MATHCP Algebra I  - Unit 05: Rational Numbers and Exponents
Rational Numbers

In the following problems, simplify each expression.

1) Simplify.

2) Simplify.

3) Simplify.

4) Simplify.

5) Simplify.

6) Simplify.

7) Simplify.

8) Simplify.

Solving Equations with Rational Numbers

In the following problems, solve each equation.

9) Solve for m.

10) Solve for x.

11) Solve for b.

12) Solve for m.

13) Solve for x.

14) Solve for x.

15) Solve for m.

Exponent Properties

In the following problems, simplify by applying the properties of exponents.

16) Simplify.

17) Simplify.

18) Simplify.

19) Simplify.

20) Simplify.

21) Simplify.

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.

Multiplying and Dividing Monomials

22) Simplify.

23) Simplify.

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems about multiplying monomials.  Click here to view the practice worksheet.

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems about dividing monomials.  Click here to view the practice worksheet.

Exponent Properties Applied to Rational Exponents

24) Which expression shows the meaning of the given number that is raised to a rational exponent?

25) Evaluate the given expression. 

26) Evaluate the given expression. 

27) Evaluate the given expression.

Simplify the following problems by applying the rules of exponents.

28) Simplify the given expression.

29) Simplify the given expression.

Review

Evaluate the following problems following the order of operations.

30) Evaluate.

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31) Evaluate.

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32) Evaluate the given problem for a = 5 and b = 3.

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33) Evaluate the given problem for a = 5, b = 3, and c = 4.

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34) Translate the following phrase into an algebraic expression:  "thirty-two more than Steve’s age".

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35) Translate the following phrase into an algebraic expression: "the product of a number and 10". 

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36) What property is illustrated in the given statement?

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37) Simplify by applying the distributive property

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38) Solve the inequality, and then choose the correct graph for the solution.  

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39) Solve the equation for x.

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