Math 112 Prealgebra

 

Skill

Notes

Sample Problems

Videos

Pencast Lectures

Practice

 

Preparing for a Math Test

 

 

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Taking a Math Test

 

 

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INTEGERS

 

 

 

 

 

PA-1

Recognizing Integers; Opposite and Absolute Value

 

Compare:

 

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PA-2

Adding Integers

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PA-3

Subtracting Integers

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PA-4

Adding/Subtracting Integers

 

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PA-5

Multiplying Integers

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PA-6

Dividing Integers

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PA-7

Multiplying and Dividing Integers

 

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PA-8

Raising Integers to Positive Integer Exponents

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PA-9

Performing Combined Operations on Integers

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SIGNED FRACTIONS

 

 

 

 

 

PA-10

Recognizing Signed Numbers; Opposite and Absolute Value

 

Which is larger?   or

 

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PA-11

Simplifying Signed Fractions

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Simplify:

 

 

 

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PA-12

Multiplying/Dividing Signed Fractions

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PA-13

Adding/Subtracting Signed Fractions

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PA-14

Performing Exponentiation and Combined Operations with Signed Fractions

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PA-15

Simplifying Complex Fractions Involving Signed Fractions

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SIGNED MIXED NUMBERS

 

 

 

 

 

PA-16

Adding Signed Mixed Numbers

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PA-17

Subtracting Signed Mixed Numbers

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PA-18

Multiplying Signed Mixed Numbers

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PA-19

Dividing Signed Mixed Numbers

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PA-20

Performing Exponentiation and Combined Operations on Signed Mixed Numbers

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PA-21

Simplifying Complex Fractions Involving Signed Mixed Numbers

 

                      

                                       

 

 

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SIGNED DECIMAL NUMBERS

 

 

 

 

 

PA-22

Adding/Subtracting Signed Decimal Numbers

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PA-23

Multiplying Signed Decimal Numbers

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PA-24

Dividing Signed Decimal Numbers

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PA-25

Performing Combined Operations on Signed Decimal Numbers

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EVALUATING ALGEBRAIC EXPRESSIONS

 

 

 

 

 

PA-26

Evaluating Algebraic Expressions Using Integer Values

 

Evaluate.

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PA-27

Evaluating Algebraic Expressions Using Fractional Values

 

Evaluate .

 

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PA-28

Evaluating Algebraic Expressions Using Decimal Values

 

Evaluate .

 

 

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SIMPLIFYING ALGEBRAIC EXPRESSIONS: LIKE TERMS AND SYMBOLS OF GROUPING

 

 

 

 

 

PA-29

Combining Like Terms: Integer Coefficients

 

Simplify:

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PA-30

Combining Like Terms: Fractional Coefficients

 

Simplify: 

 

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PA-31

Combining Like Terms: Decimal Coefficients

 

Simplify:

 

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PA-32

Applying the Distributive Property of Multiplication Over Addition

 

Remove the parentheses:

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PA-33

Removing Parentheses and Combining Like Terms

 

Simplify: 

 

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SOLVING SIMPLE LINEAR EQUATIONS

 

 

 

 

 

PA-34

Verifying Solutions

 

Verify if is a solution of .

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PA-35

Solving One-Step Linear Equations

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Solve:

Solve:

 

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PA-36

Solving Two-Step Linear Equations

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Solve: 

Solve:

 

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PA-37

Solving Linear Equations ax+b=cx+d

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Solve:

 

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PA-38

Solving Equations Involving Like Terms

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Solve:

 

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PA-39

Solving Equations Involving Symbols of Grouping

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Solve:

 

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PA-40

Completely Isolating the Variable

 

Solve:

 

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PA-41

Recognizing Identities and Contradictions

 

Solve:

Solve:

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SIMPLE RATIONAL EXPRESSIONS

 

 

 

 

 

PA-42

Simplifying Rational Expressions

 

Simplify:

 

 

 

 

PA-43

Multiplying Rational Expressions

 

Multiply:

 

 

 

 

PA-44

Dividing Rational Expressions

 

Divide:

 

 

 

 

PA-45

Adding/Subtracting Rational Expressions with the Same Denominator

 

Simplify:

 

 

 

 

PA-46

Adding/Subtracting Rational Expressions with Different Denominators

 

Simplify:

 

 

 

 

 

ENGLISH TO ALGEBRA

 

 

 

 

 

PA-47

Translating English Phrases to Algebraic Expressions

 

Translate: The sum of the square of a number and 7

 

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PA-48

Translating and Simplifying the Resulting Algebraic Expression

 

Translate and then simplify:

Twice the sum of a number and 2, added to the difference of three times the number and 5

 

 

 

 

PA-49

Translating English Sentences to Equations

 

Translate: Four times number increased by three times the number is equal to 14.

 

 

 

 

PA-50

Translating and Solving the Resulting Equation

 

Translate and then solve:

A number subtracted from five times the number is the same as the number added to 15.

 

 

 

 

 

MORE PROPORTION APPLICATIONS

 

 

 

 

 

PA-51

Solving Proportion Problems Involving Similar Figures

 

               5

                                             30  

             3

                                     

                                          x

 

 

 

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PA-52

Solving Proportion Problems Involving Similar Figures with Different Orientations

 

                                               12

           4

 

                 3                  y

 

                                                                        

 

 

 

 

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PA-53

Solving Proportion Word Problems Involving Similar Figures

 

A rectangle is 10 inches long and 7 inches wide.  What should be the width if the length is changed to 15 inches if the resulting rectangle is to have the same shape as the original rectangle?

 

 

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MORE PERCENT APPLICATIONS

 

 

 

 

 

PA-54

Review of Percents

 

See Math 105.

 

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