1
Correctly uses substitution to evaluate the sum or
difference using the given value.
1
Shows all work leading to the answer (part b).
Third Problem Chosen
1
Uses the correct operation to write a rational
expression that represents the situation.
2
Simplifies the expression correctly.(1pt for attempt)
1
Shows all work leading to the answer (part a).
1
Correctly uses substitution to evaluate the sum or
difference using the given value.
1
Shows all work leading to the answer (part b).
Fourth Problem Chosen
1
Uses the correct operation to write a rational
expression that represents the situation.
2
Simplifies the expression correctly.(1pt for attempt)
1
Shows all work leading to the answer (part a).
1
Correctly uses substitution to evaluate the sum or
difference using the given value.
1
Shows all work leading to the answer (part b).
Solving Rational Equations-Solve Rational Equations
Follow the directions to solve each problem. Show all work leading to your answer.
Next, write your own problem that can be solved with a rational equation. Think of a situation where two people
(or things) can work together to finish a job in less time than it takes each of them to work alone.
Scoring Guide
–
36 Points Possible
Points
Received
Points
Possible
Part 1
First Problem
2
Correctly fills in the blanks in the table.
2
Correctly writes a rational equation to represent
the situation.
1
Correctly identifies the LCD.
1
Correctly solves the equation by multiplying both
sides by the LCD.
2
Shows all work leading to the answer and writes a
sentence that clearly explains the meaning of the
answer for the situation, especially when the

answer is not a whole number.
Second Problem
2
Correctly fills in the blanks in the table.
2
Correctly writes a rational equation to represent
the situation.
1
Correctly identifies the LCD.
1
Correctly solves the equation by multiplying both
sides by the LCD.
2
Shows all work leading to the answer and writes a
sentence that clearly explains the meaning of the
answer for the situation, especially when the
answer is not a whole number.
Third Problem
2
Correctly fills in the blanks in the table.
2
Correctly writes a rational equation to represent
the situation.
1
Correctly identifies the LCD.
1
Correctly solves the equation by multiplying both
sides by the LCD.
2
Shows all work leading to the answer and writes a
sentence that clearly explains the meaning of the
answer for the situation, especially when the
answer is not a whole number.
Part 2
Fourth Problem
2
Writes 3-4 clear sentences to describe a real-world
situation involving working together.
2
Includes enough information to write a rational
equation.
2
Defines a variable for the problem.
1
Correctly populates the table with rates based on
the problem description.
1
Correctly writes a rational equation to represent
the problem.