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.