Evaluate Rational Expressions Worksheet

6 problems

Evaluating rational expressions involves calculating the value of expressions that contain fractions or ratios of polynomials when given specific values for the variables. This process helps students understand how to work with more complex algebraic structures and enhances their skills in simplifying and manipulating fractions within algebraic contexts. It is an important concept for mastering algebra and preparing for higher-level math courses.

Algebra 1
Expressions

How Will This Worksheet on "Evaluate Rational Expressions" Benefit Your Students' Learning?

  • Teaching how to substitute values into rational expressions.
  •  Improving ability to simplify complex fractions.
  •  Increasing confidence with algebraic fractions.
  •  Reinforcing foundational algebra skills.
  •  Preparing for advanced algebra and calculus concepts.
  •  Applying mathematical concepts to real-world situations.
Show all

Solved Example

Q. Evaluate the expression for x=6x = 6.\newlineWrite your answer in simplest form.\newlinex5x+4=\frac{x - 5}{-x + 4} = __
Solution:
  1. Identify Expression: Identify the expression after substituting x=6x = 6\newlineSubstitute 66 for xx in x5x+4\frac{x - 5}{-x + 4}.\newline656+4\frac{6 - 5}{-6 + 4}
  2. Substitute and Simplify: Evaluate 656 - 5\newline65=16 - 5 = 1\newlineNumerator: 11
  3. Evaluate Numerator: Evaluate 6+4-6 + 46+4=2-6 + 4 = -2Denominator: 2-2
  4. Evaluate Denominator: 1(2)\frac{1}{(-2)}\newlineRewrite the fraction in simplest form.\newlineThe fraction is already in its simplest form, as 11 is the smallest positive integer and cannot be simplified further.\newline=1(2)= \frac{1}{(-2)}

What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”