Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a rational expressions quiz? Then this Algebra 2 quiz on Rational Expressions and Equations Step by Step asks 10 multiple-choice questions with instant feedback.
Ten multiple-choice questions on simplifying, combining, and solving rational expressions. Think about excluded values and about which answers must be rejected as extraneous.
Standards: A-APR.D.6, A-APR.D.7, A-REI.A.2 · Level: Grade 11 Algebra 2
What this Rational Expressions and Equations Step by Step quiz checks
- Factor first, then cancel common factors, never common terms.
- A value that makes a denominator 0 is excluded from the domain.
- Add and subtract rational expressions with a common denominator; divide by multiplying by the reciprocal.
- To solve a rational equation, multiply by the LCD and check every answer in the original equation.
- In a work problem, rates of 1/t jobs per hour add.
The 10 questions of the quiz
- Simplify x2 − 64x + 8 for x ≠ −8.
- What are the excluded values of x + 2x2 − 7x + 12?
- What is the LCD of 1x + 4 and 1x2 − 16?
- Multiply: 3x · x26.
- Solve 6x + 1 = 3x.
- The graph shows y = 12x and y = x + 1. What are the solutions of 12x = x + 1?
- Solving xx − 13 = 13x − 13 gives the candidate x = 13. What is the conclusion?
- Maya can mow a field in 4 hours and Jonah in 12 hours. How long do they take together?
- Which expression has the excluded values shown on the number line?
- Add: 1x + 13.
After the quiz
Missed a question? Reread the Rational Expressions and Equations Step by Step lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Rational Expressions and Equations Step by Step, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.