Deck 10: Quadratic Equations

Question 1

Solve by factoring.

Answer 1

D

Question 2

Solve by factoring.

Answer 2

C

Question 3

Solve the problem. Approximate to the nearest tenth when necessary.
The area of a square is 148 square feet. Find the length of a side of the square.

A) 74 ft
B) 17.2 ft
C) 12.2 ft
D) 37 ft

Answer 3

C

Question 4

Solve by extracting square roots.
x

Question 5

Solve the problem.
The length of a table is 12 inches more than its width. If the area of the table is 1120 square inches, what is its length?

A) 16 in.
B) 40 in.
C) 56 in.
D) 28 in.

Question 6

Solve by factoring.

Question 7

Solve by factoring.

Question 8

Solve the problem. Approximate to the nearest tenth when necessary.
The area of a square is 49 square centimeters. Find the length of a side of the square.

A) 14 cm
B) 24.5 cm
C) 12.3 cm
D) 7 cm

Question 9

Solve by factoring.

Question 10

Solve by extracting square roots.

Question 11

Solve by factoring.

Question 12

Solve by extracting square roots.

Question 13

Solve by extracting square roots.

Question 14

Solve by extracting square roots.

Question 15

Solve by extracting square roots.

Question 16

Solve by extracting square roots.

Question 17

Solve by extracting square roots.
x

Question 18

Solve by factoring.

Question 19

Solve by extracting square roots.
x

Question 20

Solve by factoring.

Question 21

Solve the equation by completing the square.

Question 22

Solve the equation by completing the square.

Question 23

Solve the problem. Approximate to the nearest tenth when necessary.
The area of a circle is 65π square centimeters. Find the radius of the circle.

A) 14.3 cm
B) 65 cm
C) 4.5 cm
D) 8.1 cm

Question 24

Solve the problem.
A rectangular space of 252 square feet is allocated for the living and dining areas in an apartment. Find the width of the square living area given that the width of the dining area is 9 ft.

A) 21 ft
B) 12 ft
C) 14 ft
D) 11 ft

Question 25

Solve the equation by completing the square.

Question 26

Solve the problem. Approximate to the nearest tenth when necessary.
The area of a circle is 36π square meters. Find the radius of the circle.

A) 6 m
B)36 m
C) 10.6 m
D) 18.8 m

Question 27

Solve the problem.
The two legs of a right triangle are 10 meters and 20 meters, respectively. Find the hypotenuse of the triangle, rounded to the nearest hundredth of a meter.

A) 250 m
B) 22.36 mC)15m
D) 500 m

Question 28

Solve the equation by completing the square.

Question 29

Find a quadratic equation with integer coefficients that has the given solution set.

Question 30

Solve the problem.
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 ft. Find the length of the ladder if the length is 4 ft more than its distance from the wall.

A) 16 ft
B) 24 ft
C) 20 ft
D) 12 ft

Question 31

Solve the problem.
Ron takes two hr more time than Paul to mow the lawn. Working together they can mow the lawn in 5 hr. How long does it take each of them working alone? Round to the nearest tenth, if
Necessary.

A) Paul: 8 hr; Ron: 10 hr
B) Paul: 10 hr; Ron: 12 hr
C) Paul: 9.1 hr; Ron: 11.1 hr
D) Paul: 8.3 hr; Ron: 10.3 hr

Question 32

Solve the problem.
Two pipes can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone?

A) 15 hr for one
B) 10 hr for one 30 hr for the other 20 hr for the other
C) 12.5 hr for one
D) 25 hr for one 25 hr for the other 50 hr for the other

Question 33

Solve the equation by completing the square.

Question 34

Solve the problem.
A lot is in the shape of a right triangle. The shorter leg measures 60 m. The hypotenuse is 20 m longer than the length of the longer leg. How long is the longer leg?

A) 120 mB)60 mC)80m
D) 100 m

Question 35

Solve the equation by completing the square.

Question 36

Solve the equation.

Question 37

Solve the problem.
On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 52 m long and the tree is 48 m tall, how long is the shadow?

A) 32 mB)71 mC)20m
D) 100 m

Question 38

Solve the problem. Approximate to the nearest tenth when necessary.
The area of a circle is 53 square feet. Find the radius of the circle.

A) 16.9 ft
B) 4.1 ft
C) 12.9 ft
D) 7.3 ft

Question 39

Solve the problem.
Working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?

A) 6 hr
B) 3 hr
C) 15 hr
D) 9 hr

Question 40

Solve the equation by completing the square.

Question 41

Find the axis of symmetry associated with the quadratic equation.

Question 42

Find the vertex of the parabola associated with the quadratic equation.

Question 43

Solve the problem.

Question 44

Find the x- and y-intercepts of the parabola associated with the quadratic equation. If the parabola does not have any
x-intercepts, state ʺno x-intercepts.ʺ

Question 45

Solve the problem.

Question 46

Solve the problem.
A flare is fired from the bottom of a gorge with an initial velocity of 80 feet per second, and it is visible only when the flare is above the rim. The height of the flare, in feet, after t seconds is given
By the function h(t) = -16t2 + 80t. If the gorge is 96 feet deep, for what length of time can the flare
Be seen?

A) 0 sec to 2 sec
B) 4 sec to 5 sec
C) 6 sec to 7 sec
D) 2 sec to 3 sec

Question 47

Find the x- and y-intercepts of the parabola associated with the quadratic equation. If the parabola does not have any
x-intercepts, state ʺno x-intercepts.ʺ

Question 48

Solve the problem.

Question 49

Find the vertex of the parabola associated with the quadratic equation.

Question 50

Find the axis of symmetry associated with the quadratic equation.

Question 51

Find the axis of symmetry associated with the quadratic equation.

Question 52

Find the x- and y-intercepts of the parabola associated with the quadratic equation. If the parabola does not have any
x-intercepts, state ʺno x-intercepts.ʺ

Question 53

Find the vertex of the parabola associated with the quadratic equation.

Question 54

Find the vertex of the parabola associated with the quadratic equation.

Question 55

Solve the problem.

Question 56

Find the axis of symmetry associated with the quadratic equation.

Question 57

Find the vertex of the parabola associated with the quadratic equation.

Question 58

Find the vertex of the parabola associated with the quadratic equation.

Question 59

Find the x- and y-intercepts of the parabola associated with the quadratic equation. If the parabola does not have any
x-intercepts, state ʺno x-intercepts.ʺ

Question 60

Solve the problem.

Question 61

Solve the problem.

Question 62

Solve the problem.

Question 63

Solve the problem.