Deck 11: Quadratic Equations and Functions

Question 1

Solve. Give exact solutions.

Answer 1

B

Question 2

Solve. Give exact solutions.

Answer 2

D

Question 3

Solve. Give exact solutions.

Answer 3

D

Question 4

Solve. Give exact solutions.

Question 5

Solve. Give exact solutions.

Question 6

Solve. Give exact solutions.

Question 7

Use composition to verify whether or not the inverse is correct.

Question 8

Solve. Give exact solutions.

Question 9

Solve. Give exact solutions.

Question 10

Solve. Give exact solutions.

Question 11

Solve. Give exact solutions.

Question 12

Use composition to verify whether or not the inverse is correct.

Question 13

Solve. Give exact solutions.

Question 14

Solve. Give exact solutions.

Question 15

Use composition to verify whether or not the inverse is correct.

Question 16

Solve. Give exact solutions.

Question 17

Solve. Give exact solutions.

Question 18

Solve. Give exact solutions.

Question 19

Solve. Give exact solutions.

Question 20

Solve. Give exact solutions.

Question 21

Solve the equation by completing the square.

Question 22

Find the x-intercepts.

Question 23

Solve the equation by completing the square.

Question 24

Find the x-intercepts.

Question 25

Use composition to verify whether or not the inverse is correct.

Question 26

Solve the equation by completing the square.

Question 27

Solve the equation by completing the square.

Question 28

Find the x-intercepts.

Question 29

Use composition to verify whether or not the inverse is correct.

Question 30

Find the x-intercepts.

Question 31

Find the x-intercepts.

Question 32

Find the x-intercepts.

Question 33

Find the x-intercepts.

Question 34

Solve the equation by completing the square.

Question 35

Use composition to verify whether or not the inverse is correct.

Question 36

Solve the equation by completing the square.

Question 37

Solve the equation by completing the square.

Question 38

Solve the equation by completing the square.

Question 39

Solve the equation by completing the square.

Question 40

Find the x-intercepts.

Question 41

Solve.

Question 42

Solve.

Question 43

Solve.

Question 44

Solve the problem. Give the answer to the nearest tenth.

Question 45

Solve.

Question 46

Solve by completing the square.

Question 47

Solve by completing the square.

Question 48

Solve the problem. Give the answer to the nearest tenth.

Question 49

Solve.

Question 50

Solve.

Question 51

Solve.

Question 52

Solve by completing the square.

Question 53

Solve.

Question 54

Solve.

Question 55

Solve the problem. Give the answer to the nearest tenth.

Question 56

Solve.

Question 57

Solve.

Question 58

Solve.

Question 59

Solve.

Question 60

Solve the problem. Give the answer to the nearest tenth.

Question 61

Solve. Round results to the nearest thousandth.

Question 62

Solve.
A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse is 40 m longer than the length of the longer leg. How long is the longer leg?

A)160 m
B)120 m
C)240 m
D)200 m

Question 63

Solve.
A rectangular garden has dimensions of 23 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 612 square feet?

A)8.5 ft
B)6 ft
C)8 ft
D)7 ft

Question 64

Solve.
A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?

A)Bike: 12 mph
B)Bike: 14.5 mph
C)Bike: 11.5 mph
D)Bike: 13 mph Hike: 2 mph Hike: 4.5 mph Hike: 1.5 mph Hike: 3 mph

Question 65

Solve by completing the square.

Question 66

Solve.
Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.

A)3 mph
B)2 mph
C)2.5 mph
D)1.5 mph

Question 67

Solve. Round results to the nearest thousandth.

Question 68

Solve.
A square has an area of 49 square inches. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. Find the dimensions of the rectangle.

A)3 in. by 4 in.
B)4 in. by 9 in.
C)5 in. by 10 in.
D)5 in. by 9 in.

Question 69

Solve.
The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is
Added and subtracted?

A)12 cm
B)4 cm
C)3 cm
D)9 cm

Question 70

Solve. Round results to the nearest thousandth.

Question 71

Solve.
A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 18 feet by 20 feet and the area of the rug is 120 square feet, how wide will the border be?

A)6 ft
B)5 ft
C)6.5 ft
D)4 ft

Question 72

Solve.
Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance traveled by the car heading east. How far had
The eastbound car traveled?

A)25 mi
B)20 mi
C)30 mi
D)15 mi

Question 73

Solve.
A picture 9 inches by 18 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the border is 124 square inches?

A)4.5 in
B)4 in
C)3 in
D)2 in

Question 74

Solve.
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.

A)8 ft
B)6 ft
C)10 ft
D)12 ft

Question 75

Solve.
A jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. If the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the
Plane in still air.

A)435 mph
B)550 mph
C)605 mph
D)525 mph

Question 76

Solve. Round results to the nearest thousandth.

Question 77

Solve. Round results to the nearest thousandth.

Question 78

Find the x-intercepts.
Sue rowed her boat across Lake Bend and back in 3 hours. If her rate returning was 2 mph less than the rate going, and if the distance each way was 7 miles, find her rate going.

A)5.5 mph
B)5.9 mph
C)1.5 mph
D)3.7 mph

Question 79

Solve. Round results to the nearest thousandth.

Question 80

Solve by completing the square.