Deck 10: Quadratic Equations

Question 1

Solve by factoring:

A) , 0
B) ,
C) , 0
D) , 0
E)

Answer 1

, 0

Question 2

Write a quadratic equation that has integer coefficients and has solutions 4 and -11.

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

Answer 2

Question 3

Solve by factoring:

A) 0
B) 6
C) -6
D) Both A and B
E) Both B and C

Answer 3

Both A and B

Question 4

Write the quadratic equation below in standard form with a positive coefficient of x².

A)
B)
C)
D)
E)

Question 5

Solve by factoring:

A)
B)
C)
D)
E)

Question 6

Write a quadratic equation that has integer coefficients and has solutions and 6.

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

Question 7

Solve for x:

A) 0, 4
B) 0, -4, 4
C) -4
D) 4
E) 0, -4

Question 8

Solve by factoring:

A)
B)
C)
D)
E)

Question 9

Write a quadratic equation that has integer coefficients and has solutions and .

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

Question 10

Write a quadratic equation that has integer coefficients and has solutions 8 and 2.

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

Question 11

Write a quadratic equation that has integer coefficients and has solutions -12 and -7.

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

Question 12

Write a quadratic equation that has integer coefficients and has as solutions the numbers 6 and -6.

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

Question 13

Solve by factoring:

A) 5, 2
B) The equation cannot be factored. It is prime.
C) -5, -2
D) 5, -2
E) -5, 2

Question 14

Solve by taking square roots:

A) 10
B) -10
C) -10i, 10i
D) -10, 10
E) 0, 10

Question 15

Solve by taking square roots:

A) 25i and -25i
B) 5i and 5
C) 5 and -5
D) 5i and -5i
E) 25 and -25

Question 16

Solve by factoring:

A) 0, 3
B) 0, -3
C) -3
D) 3
E) -3, 3

Question 17

Write a quadratic equation that has integer coefficients and has solutions and .

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

Question 18

Solve by factoring:

A) -4, -1
B) The equation cannot be factored. It is prime.
C) -4, 1
D) 4, -1
E) 4, 1

Question 19

Write a quadratic equation that has integer coefficients and has solutions 0 and 3.

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

Question 20

Solve by factoring:

A) , 5
B) -2, 8
C) The equation cannot be factored. It is prime.
D) 2, -8
E) , 5

Question 21

Solve by completing the square:

A)
B)
C)
D)
E)

Question 22

Solve by completing the square:

A)
B)
C)
D)
E)

Question 23

Solve by taking square roots:

A)
B)
C)
D)
E)

Question 24

Solve by completing the square:

A)
B)
C)
D)
E)

Question 25

Solve by completing the square:

A)
B)
C)
D)
E)

Question 26

Solve by completing the square:

A)
B)
C)
D)
E)

Question 27

Solve by taking square roots:

A) 13
B) -37, 53
C) 3, 13
D) 8
E) -17, 33

Question 28

Solve by completing the square:

A) -4, -2
B) 1 - 3i, 1 + 3i
C) 1 - 3i, -1 + 3i
D) -3i, 3i
E) 4, -2

Question 29

Solve by taking square roots:

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

Question 30

Solve by taking square roots:

A) 5 and -5
B) 25 and -25
C) 5i and -5i
D) 5i and 5
E) 25i and -25i

Question 31

Solve by completing the square:

A)
B) 8, 3
C) -8, 3
D) -8, -3
E)

Question 32

Solve by taking square roots:

A) -31, 41
B) -1, 11
C) 1, 11
D) -6, 6
E) 5

Question 33

Solve by taking square roots:

A)
B)
C)
D)
E)

Question 34

Solve by taking square roots:

A) -7, 7
B) -7i, 7i
C) 7
D) 0, 7
E) -7

Question 35

Solve by taking square roots:

A)
B)
C)
D)
E)

Question 36

Solve by taking square roots:

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

Question 37

Solve by taking square roots:

A)
B)
C)
D)
E)

Question 38

Solve by completing the square:

A)
B)
C)
D)
E)

Question 39

Solve by taking square roots:

A) -5, 7
B) 3
C) 1
D) -1, 3
E) -3, 5

Question 40

Solve by completing the square:

A)
B)
C)
D)
E)

Question 41

Solve the following equation:

A) 11
B) 36
C) 12
D) Both A and B
E) Both A and C

Question 42

Solve the following equation:

A) 36
B) 37
C) 35
D) Both A and B
E) Both B and C

Question 43

Solve by using the quadratic formula:

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

Question 44

Solve the following equation:

A) 1, 36
B) -1, -6
C) -1, 36
D) 1, -6
E) None of the above

Question 45

Solve the following equation:

A) -6, -3, -8, -4
B) 3, -3, 4, -4
C) 6, -6, 8, -8
D) 3, 6, 4, 8
E) None of the above

Question 46

Solve the following equation:

A) -5, 4
B) -25, 16
C) 25, -16
D) 125, -64
E) None of the above

Question 47

Solve the following equation:

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

Question 48

Solve by using the quadratic formula:

A)
B)
C)
D)
E)

Question 49

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.

A) Two real
B) One real
C) Two complex

Question 50

Solve the equation below by using the quadratic formula. Approximate the solutions to the nearest thousandth.

A) -0.290 and 0.200
B) 0.690 and -0.290
C) 0.690 and 0.690
D) 0.690 and 0.200
E) -0.290 and -0.290

Question 51

Solve the following equation:

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

Question 52

Solve by using the quadratic formula:

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

Question 53

Solve the following equation:

A) 5
B) 1
C) -1
D) Both A and B
E) Both A and C

Question 54

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.

A) One real
B) Two complex
C) Two real

Question 55

Solve the following equation:

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

Question 56

Solve by using the quadratic formula:

A)
B)
C)
D)
E)

Question 57

Solve by using the quadratic formula:

A)
B) 7, 4
C) -7, 4
D)
E) -7, -4

Question 58

Solve the following equation:

A) 25
B) 26
C) 24
D) Both A and C
E) Both B and C

Question 59

Solve by using the quadratic formula:

A)
B)
C)
D) No real number solution
E)

Question 60

Solve the following equation:

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

Question 61

Solve the following inequality:

A)
B)
C)
D)
E)

Question 62

Solve the following equation:

A) -7, 1
B) -7 , 0
C) 7, -1
D) -7 -1
E) 7, 1

Question 63

Solve and graph the solution set:

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

Question 64

A model rocket is launched with an initial velocity of 200 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by . How many seconds after the launch will the rocket be 100 ft above the ground? Round to the nearest hundredth of a second.

A) 0.26 s and 12.24 s
B) 0.52 s and 11.98 s
C) 23.96 s
D) 0.48 s and 12.98 s
E) 1.04 s and 23.96 s

Question 65

Solve the following inequality:

A)
B)
C)
D)
E)

Question 66

Solve the following equation:

A) -3
B) -9
C) 3
D) 0
E) 9

Question 67

Solve the following inequality:

A)
B)
C)
D)
E)

Question 68

A cruise ship made a trip of 198 mi in 9 h. The ship traveled the first 54 mi at a constant rate before increasing its speed by 6 mph. Then it traveled another 144 mi at the increased speed. Find the rate of the cruise ship for the first 54 mi.

A) 19 mph
B) 18 mph
C) 20 mph
D) 17 mph
E) 21 mph

Question 69

Solve the following equation:

A) -9
B) 9
C) 10
D) -8
E) 8

Question 70

Solve the following equation:

A)
B)
C)
D)
E)

Question 71

Solve the following equation:

A) 8, 1
B) 8, -1
C) -8, 1
D) -8 , 0
E) -8 -1

Question 72

Solve the following inequality:

A)
B)
C)
D)
E)

Question 73

Solve the following equation:

A)
B)
C)
D)
E)

Question 74

Solve and graph the solution set:

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

Question 75

Solve the following inequality:

A)
B)
C)
D)
E)

Question 76

Solve and graph the solution set:

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