Deck 12: Quadratic Functions
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Deck 12: Quadratic Functions
1
Solve the equation by completing the square.
+ 3x - 9 = 0
A)
B)
C)
D)

A)

B)

C)

D)


2
Use the square root property to solve the equation.

A) -10, -4
B)
C) -4, 10
D) 52

A) -10, -4
B)

C) -4, 10
D) 52
-4, 10
3
Provide an appropriate response.
A perfect square trinomial is a trinomial that can be expressed as the square of a .
A) binomial
B) quadratic
C) constant
D) monomial
A perfect square trinomial is a trinomial that can be expressed as the square of a .
A) binomial
B) quadratic
C) constant
D) monomial
binomial
4
Use the square root property to solve the equation.

A) 13
B) 14
C)
D) ±13

A) 13
B) 14
C)

D) ±13
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5
Use the square root property to solve the equation.

A)
B) 0
C)
D)

A)

B) 0
C)

D)

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6
Use the square root property to solve the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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7
Solve the equation by completing the square.
+ 10x + 11 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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8
Use the square root property to solve the equation.

A)
B)
C) 3i
D) 3

A)

B)

C) 3i
D) 3
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9
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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10
Use the square root property to solve the equation.

A) -2, -8
B) -1, -4
C) 8, 2
D) 4, 1

A) -2, -8
B) -1, -4
C) 8, 2
D) 4, 1
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11
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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12
Solve the equation by completing the square.
+ 4x - 21 = 0
A)
B) -3, 7
C) -7, 3
D) -7, -14

A)

B) -3, 7
C) -7, 3
D) -7, -14
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13
Use the square root property to solve the equation.
(
A)
B) 4, -2
C)
D)
(

A)

B) 4, -2
C)

D)

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14
Use the square root property to solve the equation.
(
A)
B)
C)
D)
(

A)

B)

C)

D)

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15
Use the square root property to solve the equation.

A) -3, 1
B)
C) 0, 1
D) 1, 3

A) -3, 1
B)

C) 0, 1
D) 1, 3
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16
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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Unlock Deck
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17
Solve the equation by completing the square.
+ 4x - 9 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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Unlock Deck
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18
Use the square root property to solve the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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19
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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20
Use the square root property to solve the equation.

A) 325
B)
C)
D) 9

A) 325
B)

C)

D) 9
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21
Use the square root property to solve the equation.
+ x + 3 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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22
Solve the problem.
If a $6000 investment compounded to $7128.60 after 2 years, compounded annually, find the annual interest rate of the investment. Use the formula, A
A) 900%
B) 9%
C) 0.9%
D) 90%
If a $6000 investment compounded to $7128.60 after 2 years, compounded annually, find the annual interest rate of the investment. Use the formula, A

A) 900%
B) 9%
C) 0.9%
D) 90%
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23
Solve the problem.
The area of a circle is found by the equation
If the area A of a certain circle is 64π square centimeters, find its radius r.
A)
B)
C) r = 8 cm
D)
The area of a circle is found by the equation

A)

B)

C) r = 8 cm
D)

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24
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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25
Solve the equation by completing the square.
+ 15x = -10
A)
B) 1, 2
C) -2, -1
D)

A)

B) 1, 2
C) -2, -1
D)

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26
Use the square root property to solve the equation.
- 8x + 20 = 0
A)
B)
C) 6, 2
D)

A)

B)

C) 6, 2
D)

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27
Solve the equation by completing the square.
+ x + 2 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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28
Solve the problem.
A 12-foot pole is supported by two wires that extend from the top of the pole to points that are each 5 feet from the base of the pole. Find the total length of the two wires.
A) 13 ft
B) 26 ft
C) 338 ft
D) 34 ft
A 12-foot pole is supported by two wires that extend from the top of the pole to points that are each 5 feet from the base of the pole. Find the total length of the two wires.
A) 13 ft
B) 26 ft
C) 338 ft
D) 34 ft
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29
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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30
Solve the equation by completing the square.

A) 7 + 2i
B)
C) 5, 9
D)

A) 7 + 2i
B)

C) 5, 9
D)

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31
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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32
Solve the equation by completing the square.

A)
B)
C)
D)

A)

B)

C)

D)

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33
Solve the problem.
Mahvash inherited $20,000 and invested it in a mutual fund for two years. At the end of the two years, her investment had grown to $22,472. Find the annual interest rate that would yield this amount of money, if the
Interest is compounded annually. Use the formula,
A) 6%
B) 0.6%
C) 60%
D) 0.06%
Mahvash inherited $20,000 and invested it in a mutual fund for two years. At the end of the two years, her investment had grown to $22,472. Find the annual interest rate that would yield this amount of money, if the
Interest is compounded annually. Use the formula,

A) 6%
B) 0.6%
C) 60%
D) 0.06%
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34
Solve the problem.
The length of a vegetable garden is 5 feet longer than its width. If the area of the garden is 126 square feet, find its dimensions.
A) w = 10 ft; l = 15 ft
B) w = 8 ft; l = 13 ft
C) w = 9 ft; l = 14 ft
D) w = 8 ft; l = 15 ft
The length of a vegetable garden is 5 feet longer than its width. If the area of the garden is 126 square feet, find its dimensions.
A) w = 10 ft; l = 15 ft
B) w = 8 ft; l = 13 ft
C) w = 9 ft; l = 14 ft
D) w = 8 ft; l = 15 ft
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35
Solve the problem.
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 340 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?
A)
B)
C)
D)
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 340 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?
A)

B)

C)

D)

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36
Provide an appropriate response.
Although any quadratic equation can be solved by we generally prefer to use the quadratic formula because it is easier and more efficient to use.
A) dividing
B) multiplying
C) factoring
D) completing the square
Although any quadratic equation can be solved by we generally prefer to use the quadratic formula because it is easier and more efficient to use.
A) dividing
B) multiplying
C) factoring
D) completing the square
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37
Solve the problem.
The length of a rectangular storage room is 5 feet longer than its width. If the area of the room is 104 square feet, find its dimensions.
A) w = 7 ft; l = 12 ft
B) w = 8 ft; l = 13 ft
C) w = 7 ft; l = 14 ft
D) w = 9 ft; l = 14 ft
The length of a rectangular storage room is 5 feet longer than its width. If the area of the room is 104 square feet, find its dimensions.
A) w = 7 ft; l = 12 ft
B) w = 8 ft; l = 13 ft
C) w = 7 ft; l = 14 ft
D) w = 9 ft; l = 14 ft
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38
Provide an appropriate response.
When using the quadratic formula, the calculations are generally easier if the leading coefficient, a, is a .
A) decimal
B) fraction
C) positive integer
D) negative integer
When using the quadratic formula, the calculations are generally easier if the leading coefficient, a, is a .
A) decimal
B) fraction
C) positive integer
D) negative integer
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39
Solve the equation by completing the square.
- 5x + 1 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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40
Solve the problem.
A ladder that is 15 feet long is 9 feet from the base of a wall. How far up the wall does the ladder reach?
A)
B) 12 ft
C)
D) 144 ft
A ladder that is 15 feet long is 9 feet from the base of a wall. How far up the wall does the ladder reach?
A)

B) 12 ft
C)

D) 144 ft
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41
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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42
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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43
Solve the equation by the quadratic formula.
+ 6x + 1 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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44
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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45
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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46
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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47
Solve the equation by the quadratic formula.
+ 3x - 108 = 0
A) -12, 1
B) -9, 12
C) 12, 9
D) -12, 9

A) -12, 1
B) -9, 12
C) 12, 9
D) -12, 9
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48
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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49
Solve the equation by the quadratic formula.

A) 4
B)
C)
D) 4i

A) 4
B)

C)

D) 4i
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50
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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51
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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52
Solve the equation by the quadratic formula.
(x + 9)(x - 8) = 3
A)
B)
C)
D)
(x + 9)(x - 8) = 3
A)

B)

C)

D)

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53
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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54
Solve the equation by the quadratic formula.

A)
B)
C) 12
D) 11

A)

B)

C) 12
D) 11
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55
Solve the equation by the quadratic formula.
+ x - 4 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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56
Solve the equation by the quadratic formula.
= -8x - 7
A)
B)
C)
D)

A)

B)

C)

D)

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57
Solve the equation by the quadratic formula.

A)
B)
C)
D)

A)

B)

C)

D)

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58
Solve the equation by the quadratic formula.

A)
B) -3, -9
C) -6 + 3i
D)

A)

B) -3, -9
C) -6 + 3i
D)

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59
Solve the equation by the quadratic formula.
+ 7x + 7 = 0
A)
B)
C)
D)

A)

B)

C)

D)

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60
Solve the equation by the quadratic formula.

A)
B)
C) -2, 5
D)

A)

B)

C) -2, 5
D)

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61
Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.

A) one real solution
B) two real solutions
C) no real solution
solution.

A) one real solution
B) two real solutions
C) no real solution
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62
Write an equation that has the given solutions.

A)
B)
C)
D)

A)

B)

C)

D)

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63
Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.

A) two real solutions
B) one real solution
C) no real solution
solution.

A) two real solutions
B) one real solution
C) no real solution
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64
Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.

A) no real solution
B) two real solutions
C) one real solution
solution.

A) no real solution
B) two real solutions
C) one real solution
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65
Write an equation that has the given solutions.
-9i, 9i
A)
B)
C)
D)
-9i, 9i
A)

B)

C)

D)

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66
Write an equation that has the given solutions.

A)
B)
C)
D)

A)

B)

C)

D)

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67
Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.

A) one real solution
B) no real solution
C) two real solutions
solution.

A) one real solution
B) no real solution
C) two real solutions
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68
Write an equation that has the given solutions.
-5, 8
A)
B)
C)
D)
-5, 8
A)

B)

C)

D)

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69
Solve the problem.
Set up a revenue function, R(n), that can be used to solve the problem, then solve the problem. A business sells n exploding cigars,
at a price of (50 - 0.1n) dollars per cigar. How many exploding cigars
Must be sold to have a revenue of $490?
A) 13
B) 15
C) 12
D) 10
Set up a revenue function, R(n), that can be used to solve the problem, then solve the problem. A business sells n exploding cigars,

Must be sold to have a revenue of $490?
A) 13
B) 15
C) 12
D) 10
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70
Write an equation that has the given solutions.

A)
B)
C)
D)

A)

B)

C)

D)

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71
Write an equation that has the given solutions.
9 + i, 9 - i
A)
B)
C)
D)
9 + i, 9 - i
A)

B)

C)

D)

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72
Write an equation that has the given solutions.

A)
B)
C)
D)

A)

B)

C)

D)

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73
Determine all real values of the variable for which the function has the value indicated.

A)
B) -9, 3
C) -3, 9
D) no real numbers

A)

B) -9, 3
C) -3, 9
D) no real numbers
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74
Write an equation that has the given solutions.
-
A)
B)
C)
D)
-

A)

B)

C)

D)

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75
Determine all real values of the variable for which the function has the value indicated.

A)
B)
C)
D) no real numbers

A)

B)

C)

D) no real numbers
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76
Determine all real values of the variable for which the function has the value indicated.

A)
B)
C)
D) no real numbers

A)

B)

C)

D) no real numbers
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77
Write an equation that has the given solutions.
-8, -2
A)
B)
C)
D)
-8, -2
A)

B)

C)

D)

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78
Solve the problem.
The area of a rectangle is given. Find the length and width of the rectangle.
A) w = 11; l = 16
B) w = 13; l = 16
C) w = 11; l = 14
D) w = 12; l = 15
The area of a rectangle is given. Find the length and width of the rectangle.

A) w = 11; l = 16
B) w = 13; l = 16
C) w = 11; l = 14
D) w = 12; l = 15
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79
Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.

A) two real solutions
B) no real solution
C) one real solution
solution.

A) two real solutions
B) no real solution
C) one real solution
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80
Write an equation that has the given solutions.
2, 9
A)
B)
C)
D)
2, 9
A)

B)

C)

D)

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