Pass Check: Algebraic Fractions
Simplify, add, subtract, multiply and divide fractions containing algebraic terms.
Algebraic fraction
A fraction where the numerator and/or denominator contain algebraic terms, e.g. (x+1)/(x−2).
Simplifying
Cancelling common factors from the numerator and denominator.
Common denominator
A shared denominator needed before adding or subtracting fractions.
Restriction
A value of x that must be excluded because it makes the denominator zero.
Quick check
Mixed quiz
1. Which fraction is equivalent to 5x/10x?
2. Which expression equals x/2 × 4/x?
3. Solve x^2 - 8x + 16 = 0.
4. Solve x^2 - 8x + 15 = 0.
5. Which equation is a quadratic?
6. Use the quadratic formula to solve x^2 - 2x - 7 = 0, giving your answers to 2 decimal places.
7. Use the quadratic formula to solve x^2 - 2x - 9 = 0, giving your answers to 2 decimal places.
8. Which discriminant value indicates no real solutions?