MATH Basic Algebra I  - Unit 5: 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.

Hint:  Multiply each term by 8 to eliminate the fractions.


13)

Solve for x.


14)

Solve for x.


Exponent Properties

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


15)

Simplify.


16)

Simplify.


17)

Simplify.

Hint:  2 = 21


18)

Simplify.


19)

Simplify.


Multiplying and Dividing Monomials


20)

Simplify.


Exponent Properties Applied to Rational Exponents 


21)

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


22)

Evaluate the given expression. 


23)

Evaluate the given expression. 


24)

Evaluate the given expression.


Simplify the following problems by applying the rules of exponents.


25)

Simplify the given expression.

Hint:  When multiplying same bases, add the exponents.


26)

Simplify the given expression.

Hint: When dividing same bases, subtract the exponents.


Review

Evaluate the following problems following the order of operations.


27) Evaluate.

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28)

Evaluate.

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29)

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

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30)

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

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