Lesson 1: Equations
Equation formation:
From simple statements
From more difficult statements
Use of known variable
Use of more than one unknowns
Lesson 2: Solving Equations
Two methods for solving simple equations:
Adding and subtracting both sides
Moving terms to either side of equation sign
Understanding the main purpose in solving
Introducing the Equation Solving Diagram (ESD)
Solving equations with one variable
Solving equations with more than one similar variables
Solving equation word problems
Solving equation word problems with decimals
Lesson 3: Solving Equations with Fractions
The approach to solving these equations
Use of the lowest common multiple (LCM)
Use of divide and cancel
Solving equations with fractions and whole numbers
Tips for solving various types of equations with fractions
Lesson 4: Complex Equations
Solving complex equations strategies:
Equivalent fractions
Equivalent fractions with whole numbers
Strategies for removing fractions
Lesson 5: Introducing Exponents
Quick review of 2 important exponents
Understanding negative exponents
Solving negative exponents
Understanding exponents as fractions
Solving expressions with fractions as exponents
Understanding negative fractions as exponents
Solving expressions with negative fractions as exponents
Solving exponential equations
Here are a few sample questions for you to practice. The answers are given at the end.