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Algebra 1

Algebra  basically consists of symbols and expressions , equations in variables. 

Here is the list of Algebra 1 topics .
Preliminary Topics or Pre-Algebra

1) Number Sense:
     
(a) Integers, Rational Numbers
(b) Absolute Values
(c) Conversion between Fractions, Decimals and Percentage Values
(d) Factoring Numbers, LCM and GCF 
(e) Scientific Notation

2) Exponents: 
• Basic Rules

3) Order of Operations: 
    Example: Simplify $2(3^2\ +$ $\frac{12}{6})$ $-\ 6$

4) Arithmetic Properties:

(a) Associative Property
(b) Distributive Property 

5) Simplifying Algebraic Expressions:
    Example: Add and simplify $(2x + 4y) + (x - y)$
Algebra 1 Topics:

1) Variables:
(a) Converting the given information to mathematical expressions using variables
         
      Example: A number is $3$ less than double another number $n$ = $2m - 3$
   
(b) Evaluating Algebraic Expression
                      
      Example: Evaluate $2x + 3y$ when $x$ = $3$ and $y$ = $-2$.
         
(c) Solving Literal Equations EX: Solve $x$ = $\frac{4y}{3t}$ for $x$. 

2) Linear Equations:
(a) Solving Simple One-Step Equations  
     Example: Solve $n + 8$ = $12$
(b) Solving Two-Step Equations  
      Example: $2x + 3$ = $17$
(c) Equations with Fractions  
     Example: $\frac{1}{2}$ $x - 4$ = $10$
(d) Equations with Variables on Both Sides

             Example: $2x - 3$ = $x + 5$
(e) Real Life Word Problems

3) Ratio and Proportions 

             • Numeric Problems and Word Problems

4) Writing Equations:
(a) Equation of a Line in Different Forms:
      • Slope-intercept Form $y$ = $mx + b$

              • Intercepts Form $\frac{x}{b}$ $+$ $\frac{y}{b}$ = $1$

              • General Form $Ax + by + c$ = $0$
(b) Given Slope and Point 
(c) Given Two Points  
(d) Writing Equations from Word Problems
      • Age Problems 

              • Speed-Distance Problems

              • Uniform Rate Problems 

5) Converting Units

6) Graphing Equations  
        (a) Plotting Points (numbers as points) on Number Line and $x - y$ Plane.
(b) Graphing Using a Point Chart
(c) Slope  of a Line 

             • Calculating Slope
   
             • Graphing Slope

             • Determining Slope from Equation of Line
        (d) Rate of Change as the Slope (for word problems)
    
(e) Graphing using the $x$ and $y$ intercepts.

7) System of Equations

(a) Graphical Method of Solving the System
(b) Substitution Method
(c) Elimination Method 
(d) Word Problems 
      • Mixture Problems
           
              • Coin Problems 

              • Work Word Problems.

Related Calculators
One Sample T Test One Way Anova Calculator
one sample z test calculator Algebra Calculator
 

More topics in  Algebra 1
Algebra 1 Problems Solving Equations
Solving Equations by Factoring Solving Equations with Two Variables
How to Solve Equations with Fractions Solving Equations by Substitution
Solving Equations with integers Solving Linear Equations
Solving Radical Equations Rational equations
Systems of Equations Quadratic Equations
Polynomial Solving Equations with Exponents
Solving Trigonometric Equations Solving Systems of Equations by Graphing
Solving Polynomial Equations Solving Absolute Value Equations
Solving Rational Equations Solving Equations with Variables on both sides
Solving Quadratic Equations Solving Logarithmic Equations
Solving Systems of Equations Solving Inequalities
Polynomial Inequalities Systems of Inequalities
Rational Inequalities Inequalities with Fractions
Quadratic Inequalities Logarithmic Equations
Exponential Equations Matrices
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