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BEGINNING ALGEBRA

 
BEGINNING ALGEBRA TOPICS
  • If you are unsure of where you should begin, please contact the Math Diagnostic Center at 315-498-2611 for assistance.
or    INTERMEDIATE ALGEBRA

 
REAL NUMBER OPERATIONS
 
1. Locate points on a  number line.                                                                REVIEW 1
2. Simplify expressions containing absolute value.
3. Add two or more real numbers.                                                                 REVIEW 2
4. Subtract real numbers by adding the opposite.
5. Multiply two or more real numbers.                                                           REVIEW 3
6. Divide real numbers.
7. Use the distributive property.                                                                    REVIEW 4
8. Simplify expressions involving positive and negative numbers as well
    as  grouping symbols by using the rules of order of operations.
 

EXTRA  PRACTICE

SOLVING LINEAR EQUATIONS AND INEQUALITIES
 
B. Solving Linear Equations and Inequalities

1. Solve a linear equation in one variable by using:                                        REVIEW 1
    a. Addition Principle only.
    b. Multiplication Principle only.
    c. Both Principles without ( ).
    d. Both Principles with ( ).
2. Solve a formula for a given variable.                                                        REVIEW 2
3. Solve inequalities and graph the solution by using:                                     REVIEW 3
    a. Addition Principle only.
    b. Multiplication Principal only.
    c. Both Principles without ( ).
    d. Both Principles with ( ).

EXTRA  PRACTICE

GRAPHING and SYSTEMS OF EQUATIONS
 
1. Graph an ordered pair.                                                                            REVIEW 1*
2. Graph the following types of  linear equation:                                            REVIEW 2*
    a.  y = mx + b  using a table of values
    b.  ax + by = c using intercepts
    c.  horizontal and vertical line                                                                   REVIEW 3
3. Solve a system of linear equations by:
    a. graphing                                                                                             REVIEW 4
    b. addition (elimination) method                                                               REVIEW 5
    c. substitution method                                                                             REVIEW 6
4. Recognize when a system of linear equations consists of
    2 parallel lines or 2 lines that coincide.                                                      REVIEW 7
5. Solve word problems by using systems of linear equations.                         REVIEW 8

EXTRA  PRACTICE

            ANSWERS 1   ANSWERS 2
 

* REVIEW 1a - 2d  provide a more detailed explanation of graphing.  They are PowerPoint
   slides that can only be viewed using Internet Explorer.

REVIEW 1*

REVIEW 2a*   REVIEW 2b*

REVIEW 2c*   REVIEW 2d*

EXPONENTS AND POLYNOMIAL OPERATIONS
 
 1.   Use the definition of integer exponents to evaluate expressions                   REVIEW 1
       with exponents.

 2.    Evaluate:    ar as

 3.    Evaluate:    (ar)s

 4.    Evaluate:   (ab)r

 5.    Evaluate:     (ar )/(as)

 6.    Evaluate:  (a/b)r
 7.  Simply expressions with negative exponents.                                            REVIEW 2
 8.  Simplify expressions using exponents of 0 and 1.
 9. Add and subtract polynomials                                                                  REVIEW 3
10. Multiply                                                                                                REVIEW 4
      a. monomials
      b. polynomials
      c.  special cases
11.  Dividing polynomials

EXTRA  PRACTICE

FACTORING POLYNOMIALS
 
1.   Factor the greatest common factor from a polynomial.                         REVIEW 1
2.   Factor trinomials
      a.  leading coeff of 1                                                                         REVIEW 2
      b.  leading coeff other than 1                                                             REVIEW 3
      c.  with common factors
3.    Factor special cases                                                                         REVIEW 4
      a.  difference of  2 squares
      b.  perfect squares
4.    Solve quadratic equations by factoring.                                              REVIEW 5
5.    Solve word problems involving quadratic equations.
EXTRA  PRACTICE
OVERALL REVIEW
 
Before leaving Beginning Algebra students should check their knowledge by completing an overall review.
 

REVIEW QUESTIONS

ANSWERS
 
 


 

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