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  1. ← All courses
  2. Precalculus
  3. Unit 8: Rational Functions

Topic 5 of 5

Rational expressions and equations review

Keep original restrictions while dividing, combining and solving.

Subject to changeOptional future study, outside the current course sequence. This lesson and its homework preview are unassigned and may change.

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Current units

  1. Unit 1: Essential Review
    1. Find a starting point
    2. Evaluate and compare expressions
    3. Read powers and multiply expressions
    4. Solve equations and describe intervals
    5. Essential algebra review
  2. Unit 2: Functions
    1. Read and use function notation
    2. Combine functions in the right order
    3. Keep inputs and outputs allowed
    4. Describe change and graph behavior
    5. Reverse a function safely
    6. Use symmetry to compare inputs
    7. Functions review
  3. Unit 3: Linear Functions
    1. Build a model with constant change
    2. Write and compare line equations
    3. Reverse a linear model
    4. Build and read piecewise rules
    5. Linear functions review
Optional future study · Subject to change

Unassigned previews outside the current course sequence.

  1. Unit 4: Exponential Functions · Optional future study · Subject to change
    1. Simplify with exponent laws
    2. Interpret rational exponents over the reals
    3. Build repeated-factor models
    4. Solve equations with a common base
    5. Read exponential graphs and their limits
    6. Exponentials review
  2. Unit 5: Quadratics · Optional future study · Subject to change
    1. Factoring patterns
    2. Factoring trinomials
    3. Completing the square
    4. Quadratic models
    5. Linear quadratic systems
    6. Quadratics review
  3. Unit 6: Transformations · Optional future study · Subject to change
    1. Shifts and reflections
    2. Stretches and compressions
    3. Move and reshape a function
    4. Transformations review
  4. Unit 7: Polynomials · Optional future study · Subject to change
    1. Polynomial structure
    2. Polynomial behavior
    3. Polynomial graphs
    4. Polynomials review
  5. Unit 8: Rational Functions · Optional future study · Subject to change
    1. Simplify rational functions safely
    2. Divide polynomials and check remainders
    3. Combine rational expressions
    4. Solve rational equations and check candidates
    5. Current lessonRational expressions and equations review
  6. Unit 9: Trigonometry · Optional future study · Subject to change
    1. Right-triangle models
    2. Radians and circular arcs
    3. The unit circle
    4. Trigonometric identities
    5. Linear trigonometric equations
    6. Trigonometry review
  7. Unit 10: Trigonometric Graphs · Optional future study · Subject to change
    1. Sine and cosine models
    2. Period, frequency, and phase
    3. Build a sine or cosine model
    4. Sine and cosine graphs review
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Next lesson: Right-triangle modelsUnit 8: Rational Functions
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Published with approval from Mr. Farzin Khan Shifat. Last updated October 31, 2026.