Math 3 Test 4: Rational Expressions/Equations (Lessons 6.0-6.5)

Math 3 Test 4: Rational Expressions/Equations (Lessons 6.0-6.5)

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What are the domain restrictions for the rational expression \( \frac{5}{3} - \frac{2}{x} = \frac{8}{x} \)?

Back

The domain restrictions are \( x \neq 2, -1 \).

2.

FLASHCARD QUESTION

Front

Solve for \( x \): \( \frac{5}{3} - \frac{2}{x} = \frac{8}{x} \)

Back

\( x = 6 \)

3.

FLASHCARD QUESTION

Front

If Lucy can wash a car in 3 hours and together with Quinn they can wash a car in 1 hour, how long does it take Quinn to wash a car by herself?

Back

It takes Quinn 1.5 hours.

4.

FLASHCARD QUESTION

Front

What equation can be used to find the speed of the boat in still water if a boat goes 10 miles downstream in the same time it can go 3 miles upstream with a current speed of 2 miles per hour?

Back

\( \frac{3}{x-2} = \frac{10}{x+2} \)

5.

FLASHCARD QUESTION

Front

Define a rational expression.

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

6.

FLASHCARD QUESTION

Front

What is the formula for finding the least common denominator (LCD) of two rational expressions?

Back

The LCD is the least common multiple (LCM) of the denominators.

7.

FLASHCARD QUESTION

Front

How do you simplify a rational expression?

Back

Factor the numerator and denominator and cancel out common factors.

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