Deck 8: Rational Expressions

Question 1

Multiply:

A)
B)
C)
D)
E)

Answer 1

Question 2

Simplify:

A)
B)
C)
D)
E) cannot be simplified

Answer 2

Question 3

Divide:

A)
B)
C)
D)
E)

Answer 3

Question 4

Simplify:

A)
B) 4
C) -4
D) 3 - 7x
E) 0

Question 5

Simplify:

A)
B)
C)
D)
E)

Question 6

Simplify:

A)
B)
C)
D)
E) cannot be simplified

Question 7

Simplify:

A)
B)
C)
D)
E) cannot be simplified

Question 8

Multiply:

A)
B)
C)
D)
E)

Question 9

Multiply:

A)
B)
C)
D) 1
E)

Question 10

Simplify:

A)
B)
C)
D)
E) cannot be simplified

Question 11

Multiply:

A)
B)
C)
D)
E)

Question 12

Divide:

A)
B)
C)
D)
E)

Question 13

Multiply:

A)
B)
C)
D)
E)

Question 14

Divide:

A)
B)
C)
D)
E)

Question 15

Divide:

A)
B)
C)
D)
E)

Question 16

Multiply:

A)
B)
C)
D)
E)

Question 17

Multiply:

A)
B)
C)
D)
E)

Question 18

Simplify:

A)
B)
C)
D)
E)

Question 19

Divide:

A)
B)
C)
D)
E)

Question 20

Simplify:

A)
B)
C)
D)
E) cannot be simplified

Question 21

Divide:

A)
B)
C)
D)
E)

Question 22

Write each of the following fractions in terms of the LCM of the denominators:

A)
B)
C)
D)
E)

Question 23

Simplify:

A)
B)
C)
D)
E) None of the above

Question 24

Divide:

A)
B)
C)
D)
E)

Question 25

Write each of the following fractions in terms of the LCM of the denominators:

A)
B)
C)
D)
E)

Question 26

Simplify:

A)
B)
C)
D)
E)

Question 27

Simplify:

A)
B)
C)
D)
E)

Question 28

Simplify:

A)
B)
C)
D)
E) None of the above

Question 29

Write the fractions below in terms of the LCM of the denominators.

A)
B)
C)
D)
E)

Question 30

Write each of the following fractions in terms of the LCM of the denominators:

A)
B)
C)
D)
E)

Question 31

Simplify:

A)
B)
C)
D)
E) None of the above

Question 32

Simplify:

A)
B) 1
C)
D)
E)

Question 33

Simplify:

A)
B)
C)
D)
E) None of the above

Question 34

Simplify:

A)
B)
C)
D)
E)

Question 35

Write each of the following fractions in terms of the LCM of the denominators:

A)
B)
C)
D)
E)

Question 36

Write each of the following fractions in terms of the LCM of the denominators:

A)
B)
C)
D)
E)

Question 37

Write the fractions below in terms of the LCM of the denominators.

A)
B)
C)
D)
E)

Question 38

Simplify:

A)
B)
C)
D)
E) None of the above

Question 39

Simplify:

A)
B)
C)
D)
E)

Question 40

Simplify:

A)
B)
C)
D)
E) None of the above

Question 41

Simplify:

A)
B)
C)
D)
E) None of the above

Question 42

Simplify:

A)
B)
C)
D)
E)

Question 43

Solve:

A) 8
B)
C) No solution
D) 0
E) -10

Question 44

Solve:

A)
B) 5
C)
D)
E) -5

Question 45

Simplify:

A)
B)
C)
D)
E)

Question 46

Simplify:

A)
B)
C)
D)
E) None of the above

Question 47

Simplify:

A)
B)
C)
D)
E) None of the above

Question 48

Simplify:

A)
B)
C)
D)
E)

Question 49

Simplify:

A)
B)
C)
D)
E) None of the above

Question 50

Solve:

A) 0,-5
B) 1, -4
C) 1, -5
D) 2,-5
E) 0,-6

Question 51

Solve:

A)
B)
C)
D)
E)

Question 52

Simplify:

A)
B)
C)
D)
E) None of the above

Question 53

Simplify:

A)
B)
C)
D)
E)

Question 54

Solve:

A)
B)
C) -5
D) 4
E) -4

Question 55

Solve:

A) 64
B)
C) 60
D) -60
E) No solution

Question 56

Solve:

A) 1
B)
C)
D) -1
E) 0

Question 57

Solve:

A)
B) -3
C) 4
D) 27
E) 3

Question 58

Simplify:

A)
B)
C)
D)
E) None of the above

Question 59

Solve:

A) 4
B) 2
C)
D) -2
E) 8

Question 60

Solve:

A) 3
B)
C) 6
D) -3
E)

Question 61

Solve:

A) 2
B) 5
C) 10
D)
E)

Question 62

Solve:

A)
B)
C)
D) 76
E) 38

Question 63

Solve:

A) 8
B) 2, 8
C) 16, 8
D) No solution
E) 2

Question 64

An exit poll survey showed that 2 out of every 6 voters cast a ballot in favor of an amendment to a city charter. At this rate, how many voters voted in favor of the amendment if 7260 people voted?

A) 4840
B) 2420
C) 21,780
D) 2320
E) 2300

Question 65

Triangles ABC and DEF are similar with DE = 7. Find the perimeter of triangle DEF. Round your answer to the nearest hundredth.

A) 1.87 ft
B) 8.57 ft
C) 30.45 ft
D) 26.25 ft
E) 28.65 ft

Question 66

Triangles ABC and DEF are similar with AB = 4, DE = 10, and DF = 15. Find side AC. Round your answer to the nearest tenth.

A) 2.7
B) 37.5
C) 11.2
D) 6.0
E) 7.9

Question 67

Solve:

A)
B)
C)
D) 22
E) 14

Question 68

Solve:

A) 3
B)
C)
D) 6
E) 12

Question 69

Solve:

A)
B) 42
C)
D) 84
E)

Question 70

Solve:

A)
B)
C) 18
D)
E)

Question 71

Solve:

A) 10
B) -10
C) 4
D)
E)

Question 72

In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 206 had cable television. Estimate the number of homes in the city that have cable television.

A) 20,600
B) 43,689
C) 9400
D) 20,611
E) 21,087

Question 73

Triangles ABC and DEF are similar with CB = 5 and FE = 11. The height of triangle DEF is 14. Find the height of triangle ABC. Round your answer to the nearest tenth.

A) 3.9
B) 30.8
C) 8.8
D) 6.4
E) 7.9

Question 74

Solve:

A) -1
B)
C) 9
D)
E)

Question 75

A simple syrup used in making some desserts requires 2 c of sugar for every ²/₃ c of boiling water. At this rate, how many cups of sugar are required for 2 c boiling water?

A) 4
B) 11
C) 6
D)
E) 2

Question 76

On a map, two cities are in. apart. If ³/₈ in. on the map represents 25 mi, find the number of miles between the two cities.

A) 19.92 mi
B) 141.67 mi
C) 16.67 mi
D) 123.67 mi
E) 143.67 mi

Question 77

Solve:

A) 18
B)
C)
D)
E) 24

Question 78

Solve:

A) 13
B)
C) 26
D)
E)

Question 79

As part of a conservation effort for a lake, 55 fish are caught, tagged, and then released. Later 110 fish are caught. Four of the 110 fish are found to have tags. Estimate the number of fish in the lake.

A) 24,200
B) 1713
C) 41,513
D) 1513
E) 8513

Question 80

Solve:

A)
B) 5
C) 21
D)
E) 20