Math 112 Prealgebra

Skill 
Notes 
Sample
Problems 
Videos 
Pencast
Lectures 
Practice 

Preparing for a Math Test 






Taking a Math Test 






INTEGERS 





PA1 
Recognizing Integers; Opposite and Absolute Value 

Compare: 


PA2 
Adding Integers 



PA3 
Subtracting Integers 



PA4 
Adding/Subtracting Integers 




PA5 
Multiplying Integers 



PA6 
Dividing Integers 




PA7 
Multiplying and Dividing Integers 





PA8 
Raising Integers to Positive Integer Exponents 



PA9 
Performing Combined Operations on Integers 




SIGNED
FRACTIONS 





PA10 
Recognizing Signed Numbers; Opposite and Absolute Value 

Which is larger? or 


PA11 
Simplifying Signed Fractions 
Simplify: 



PA12 
Multiplying/Dividing Signed Fractions 



PA13 
Adding/Subtracting Signed Fractions 



PA14 
Performing Exponentiation and Combined Operations with Signed Fractions 



PA15 
Simplifying Complex Fractions Involving Signed Fractions 




SIGNED
MIXED NUMBERS 





PA16 
Adding Signed Mixed Numbers 



PA17 
Subtracting Signed Mixed Numbers 




PA18 
Multiplying Signed Mixed Numbers 



PA19 
Dividing Signed Mixed Numbers 



PA20 
Performing Exponentiation and Combined Operations on Signed Mixed Numbers 



PA21 
Simplifying Complex Fractions Involving Signed Mixed Numbers 






SIGNED
DECIMAL NUMBERS 





PA22 
Adding/Subtracting Signed Decimal Numbers 


PA23 
Multiplying Signed Decimal Numbers 



PA24 
Dividing Signed Decimal Numbers 



PA25 
Performing Combined Operations on Signed Decimal Numbers 





EVALUATING
ALGEBRAIC EXPRESSIONS 





PA26 
Evaluating Algebraic Expressions Using Integer Values 

Evaluate. 


PA27 
Evaluating Algebraic Expressions Using Fractional Values 

Evaluate . 


PA28 
Evaluating Algebraic Expressions Using Decimal Values 

Evaluate . 




SIMPLIFYING
ALGEBRAIC EXPRESSIONS: LIKE TERMS AND SYMBOLS OF GROUPING 





PA29 
Combining Like Terms: Integer Coefficients 

Simplify: 


PA30 
Combining Like Terms: Fractional Coefficients 

Simplify: 


PA31 
Combining Like Terms: Decimal Coefficients 

Simplify: 


PA32 
Applying the Distributive Property of Multiplication Over Addition 

Remove the parentheses: 


PA33 
Removing Parentheses and Combining Like Terms 

Simplify: 



SOLVING
SIMPLE LINEAR EQUATIONS 





PA34 
Verifying Solutions 

Verify if is a solution of . 



PA35 
Solving OneStep Linear Equations 
Solve: Solve: 


PA36 
Solving TwoStep Linear Equations 
Solve: Solve: 


PA37 
Solving Linear Equations ax+b=cx+d 
Solve: 



PA38 
Solving Equations Involving Like Terms 
Solve: 


PA39 
Solving Equations Involving Symbols of Grouping 
Solve: 


PA40 
Completely Isolating the Variable 

Solve: 



PA41 
Recognizing Identities and Contradictions 

Solve: Solve: 




SIMPLE
RATIONAL EXPRESSIONS 





PA42 
Simplifying Rational Expressions 

Simplify: 



PA43 
Multiplying Rational Expressions 

Multiply: 



PA44 
Dividing Rational Expressions 

Divide: 



PA45 
Adding/Subtracting Rational Expressions with the Same Denominator 

Simplify: 



PA46 
Adding/Subtracting Rational Expressions with Different Denominators 

Simplify: 




ENGLISH TO ALGEBRA 





PA47 
Translating English Phrases to Algebraic Expressions 

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


PA48 
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 



PA49 
Translating English Sentences to Equations 

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



PA50 
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 





PA51 
Solving Proportion Problems Involving Similar Figures 

5 30 3
x 



PA52 
Solving Proportion Problems Involving Similar Figures with Different Orientations 

12 4 3 y




PA53 
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? 




MORE
PERCENT APPLICATIONS 





PA54 
Review of Percents 

See Math 105. 









