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Algebra Help Worksheet List

Below is a list of all our algebra worksheets. Still need help after working through these worksheets? At Wyzant, connect with algebra tutors and math tutors nearby. Prefer to meet online? Find online algebra tutors or online math tutors in a couple of clicks.

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

Reading the Coordinates of Points on a Graph

Sample Problem:  
Solution:  (3, 3)

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

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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