Deck 5: Rational Expressions and Rational Equations

Question 1

Write the domain of the rational function in set-builder notation.

Answer 1

C

Question 2

Simplify the rational expression.

Answer 2

C

Question 3

Simplify the rational expression.

Answer 3

A

Question 4

Write the domain of the rational function in interval notation.

Question 5

Write the word or phrase that best completes each statement or answers the question.
Evaluate the rational function, if possible.

Question 6

Write the domain of the function in interval notation and use that information to graph the function.

Question 7

Simplify the rational expression.

Question 8

Write the word or phrase that best completes each statement or answers the question.
Simplify the rational expression.

Question 9

Simplify the rational expression.

Question 10

Write the domain of the rational function in set-builder notation.

Question 11

Write the word or phrase that best completes each statement or answers the question.
a. Factor the numerator and denominator.
b. Write the restrictions on y.
c. Simplify the expression.

Question 12

Simplify the rational expression.

Question 13

Evaluate the rational function, if possible.

Question 14

Simplify the rational expression.

Question 15

Write the word or phrase that best completes each statement or answers the question.
Simplify the rational expression.

Question 16

Simplify the rational expression.

Question 17

Write the word or phrase that best completes each statement or answers the question.
Evaluate the rational function, if possible.

Question 18

Write the domain of the rational function in interval notation.

Question 19

Simplify the rational expression.

Question 20

Simplify the rational expression.

Question 21

Multiply the rational expressions.

Question 22

Perform the indicated operations.

Question 23

Fill in the blank to make an equivalent fraction with the given denominator.

Question 24

Write the word or phrase that best completes each statement or answers the question.
Divide the rational expressions.

Question 25

Add or subtract as indicated and simplify if possible.

Question 26

Add or subtract as indicated and simplify if possible.

Question 27

Find the least common denominator (LCD).

Question 28

Multiply the rational expressions.

Question 29

Write the word or phrase that best completes each statement or answers the question.
Find the least common denominator (LCD).

Question 30

Add or subtract as indicated and simplify if possible.

Question 31

Add or subtract as indicated and simplify if possible.

Question 32

Multiply the rational expressions.

Question 33

Divide the rational expressions.

Question 34

Divide the rational expressions.

Question 35

Divide the rational expressions.

Question 36

Find the least common denominator (LCD).

Question 37

Find the least common denominator (LCD).

Question 38

Find the least common denominator (LCD).

Question 39

Perform the indicated operations.

Question 40

Write the word or phrase that best completes each statement or answers the question.
Multiply the rational expressions.

Question 41

Write the word or phrase that best completes each statement or answers the question.
Simplify the complex fraction by using Method II.

Question 42

Simplify the complex fraction by using Method II.

Question 43

Fill in the blank to make an equivalent fraction with the given denominator.

Question 44

Add.

Question 45

Write the word or phrase that best completes each statement or answers the question.
Add.

Question 46

Add.

Question 47

Subtract.

Question 48

Solve the rational equation.

Question 49

Simplify.

Question 50

Subtract.

Question 51

Subtract.

Question 52

Simplify the complex fraction by using Method I.

Question 53

Simplify the complex fraction by using Method I.

Question 54

Solve the rational equation.

Question 55

Simplify.

Question 56

Simplify the complex fraction by using Method II.

Question 57

Write an expression that represents the perimeter of the figure and simplify.

Question 58

Simplify the complex fraction by using Method II.

Question 59

Simplify the complex fraction by using Method II.

Question 60

Find the slope of the line that passes through the given points.

Question 61

Solve the rational equation.

Question 62

Solve the proportion.

Question 63

Solve for r.

Question 64

Solve for a.

Question 65

Solve the rational equation.

Question 66

Solve the rational equation.

Question 67

Write the word or phrase that best completes each statement or answers the question.
Solve the proportion.

Question 68

Write the word or phrase that best completes each statement or answers the question.
Solve the rational equation.

Question 69

Solve the rational equation.

Question 70

Solve the rational equation.

Question 71

Solve for b.

Question 72

Write the word or phrase that best completes each statement or answers the question.
Solve the rational equation.

Question 73

Question 74

Solve for h.

Question 75

Solve the proportion.

Question 76

Solve the rational equation.

Question 77

Write the word or phrase that best completes each statement or answers the question.
Solve the proportion.

Question 78

Find the value of y so that the slope of the line between the points (

A) y = -12
B) y = 12
C) y = 1
D) y = -1

Question 79

Solve the proportion.

Question 80

Solve the rational equation.