Rational Expressions
1 hr 55 min 29 Examples
- Introduction to Video: Simplifying Rational Expressions
- Steps for Simplifying Rational Expressions
- Examples #1-9: Simplify the Rational Expression
- Examples #10-13: Simplify the Rational Expression by factoring out negative
- Examples #14-17: Simplify the Rational Expression by factoring trinomials
- Examples #18-21: Simplify the Rational Expression by factoring completely
- Examples #22-23: Simplify the Rational Expression by factoring cubes
- Examples #24-29: Find the error and fix the mistake
Multiplying Fractions
1 hr 38 min 17 Examples
- Introduction to Video: Multiplying Rational Expressions
- Steps for Multiplying Rational Expressions with Examples #1-3
- Examples #4-10: Multiply, factor and express in lowest terms
- Examples #11-13: Multiply, factor cubes and express in lowest terms
- Examples #14-15: Multiply, factor by grouping and express in lowest terms
- Examples #16-17: Multiply three rational expression and express in lowest terms
Dividing Fractions
1 hr 26 min 17 Examples
- Introduction to Video: Dividing Rational Expressions
- Steps for Dividing Rational Expressions with Examples #1-2
- Examples #3-14: Divide the rational expressions and simplify
- Examples #15-17: Multiply and Divide three rational expressions
Adding Fractions
2 hr 31 min 37 Examples
- Introduction to Video: Adding and Subtracting Rational Expressions
- Least Common Denominator and Least Common Multiple with Examples #1-6: Find the LCM
- Examples #7-12: Find the LCD
- Steps for Adding and Subtracting Rational Expressions with Examples #14-15
- Examples #16-29: Add or Subtract the rational expressions and simplify
- Examples #30-32: Add or Subtract the rational expressions by factoring out the negative
- Examples #33-34: Add and Divide the rational expressions and simplify
- Examples #35-36: Add or Subtract the rational expression and simplify
- Examples #37: Add or Subtract the four rational expression and simplify
Long Division
1 hr 24 min 10 Examples
- Introduction to Video: Polynomial Long Division
- Steps for Arithmetic Long Division with Examples #1-2
- Steps for Polynomial Long Division with Examples #3
- Examples #4-9: Solve using Polynomial Long Division
- Example #10: Solve using Polynomial Long Division
Proportion
1 hr 21 min 18 Examples
- Introduction to Video: Ratios and Proportions
- What is a Ratio? How to state a Ratio? Examples #1-2
- Examples #3-6: State each ratio in simplest form
- What is a Proportion? How to solve proportions?
- Examples #7-9: Solve each proportion by cross multiplying
- Examples #10-13: Solve each proportion by cross multiplying
- Examples #14-16: Solve each proportion and by cross multiplying
- Examples #17-18: Find the ratio of x to y
Solving Equations
1 hr 36 min 15 Examples
- Introduction to Video: Solving Rational Equations
- Two ways of solving a rational equations
- Examples #1-8: Solve the rational equation
- Examples #9-12: Solve the rational equation by factoring first
- Examples #13-14: Solve the rational equation and solve the quadratic
- Example #15: Solve the rational equation and solve the quadratic
Percents
59 min 13 Examples
- Introduction to Video: Solving Percent Problems
- What is a percent? and Examples #1-2: Evaluate the percent problem
- Examples #4-6: Evaluate the percent problem
- Examples #7-8: Find the amount given the percent
- Examples #9-10: Find the population or percent increase
- Example #11: Find the amount given percent of interest
- Example #12: Percent of salt added to a solution
- Example #13: Mixing percentage of gold alloy
Chapter Test
2 hr 14 min 25 Examples
- Examples #1-4: Simplify the rational expression
- Examples #5-8: Perform the indicated operation and simplify
- Examples #9-10: Perform the indicated operation and simplify
- Examples #11-13: Divide using Long Division or Synthetic Division
- Examples #14-22: Solve the rational equation
- Examples #23-24: Solve the percent equation
- Example #25: Solve the equation using ratios
