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Worksheet Index

Basics

Basic Equations
Sample Problem:  x + 9 = 18 - 2x
Solution:  x = 3

Basic Proportions
Sample Problem:  
4   8
- = --
x   20
Solution:  x = 10

Consecutive Integer Word Problems
Sample Problem:  What are two consecutive even integers that have a sum of 26?
Solution:  12, 14

Simplifying

Simplifying and Solving Equations with Multiple Signs
Sample Problem:  - -16 - x = 13
Solution:  x = 3

Simplifying and Solving Equations by Combining Like Terms
Sample Problem:  6x - 2 + 2x = -2 + 4x + 8
Solution:  x = 2

Multiplication

Two Single Terms
Sample Problem:  11s * 12s3
Solution:  132s4

Distributive Property
Sample Problem:  2(4 + 9x)
Solution:  8 + 18x

FOIL Method
Sample Problem:  (1 + x)(3 + 2x)
Solution:  3 + 5x + 2x2

Exponents

Of Numbers
Sample Problem:  52
Solution:  25

Of Variables
Sample Problem:  (k2m3)2
Solution:  k4m6

Of Polynomials (Parentheses)
Sample Problem:  (2y + 9)2
Solution:  4y2 + 36y + 81

Advanced Simplifying

Order of Operations
Sample Problem:  3 + 2 * 5x(y + 1)
Solution:  3 + 10xy + 10x

Negative Exponents

Negative Exponents of Numbers
Sample Problem:  2-3
Solution:  1/8

Negative Exponents of Variables
Sample Problem:  j-3
Solution:  1/j3

Negative Exponents in Fractions
Sample Problem:  a-2b/a
Solution:  b/a3

Substitution

Substitution Introduction
Sample Problem:  Evaluate: b + x2, where b = -2 and x = p + 1.
Solution:  p2 - 2p - 1

Factoring

Factoring Numbers
Sample Problem:  15
Solution:  1, 3, 5, 15

Finding a Greatest Common Factor (GCF) of Two Numbers
Sample Problem:  42, 98
Solution:  14

Finding a Greatest Common Factor (GCF) of Two Terms
Sample Problem:  21x2y, 7xy3
Solution:  3xy

Factoring a GCF From an Expression
Sample Problem:  5x2 + 15x3
Solution:  5x2(1 + 3x)

Factoring a Difference Between Two Squares
Sample Problem:  x2 - 49
Solution:  (x + 7)(x - 7)

Factoring a Trinomial
Sample Problem:  5u2 + -11uv + 6v2
Solution:  (5u - 6v)(u - v)

Factoring Completely
Sample Problem:  x4 + 7x3 + 12x2
Solution:  x2(x + 3)(x + 4)

Equations - Advanced

Solve By Factoring
Sample Problem:  x2 - 12x + 27 = 0
Solution:  x = 3, 9

Completing the Square
Sample Problem:  x2 + x - 3.75 = 0
Solution:  x = -2.5, 1.5

Solve Using the Quadratic Formula
Sample Problem:  x2 + x - 3.75 = 0
Solution:  x = -2.5, 1.5

Graphing

Graphing Points
Sample Problem:  (1, 5), (-1, 3)
Solution:  

Reading the Coordinates of Points on a Graph
Sample Problem:  
Solution:  (3, 3)

Graphing Linear Equations by Graphing Two Points
Sample Problem:  y = 3x; points where x = -1 and x = 1
Solution:  

Determining the Slope of a Line
Sample Problem:  
Solution:  slope: 1.5

Determining x and y Intercepts of a Line
Sample Problem:  
Solution:  y intercept: 1

Graphing Linear Equations Using Slope-Intercept Form
Sample Problem:  y = x + 2
Solution:  

Determining a Linear Equation From the Graph of a Line
Sample Problem:  
Solution:  y = x + 1

Determining a Linear Equation From Two Points (Using the two-point formula)
Sample Problem:  (5, 13) and (10, 23)
Solution:  y = 2x + 3

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