Deck 9: Quadratic Equations
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Deck 9: Quadratic Equations
1
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


3
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


4
If you invest
in an account with interest rate r compounded annually, the amount of money A in the account after
years is given by the formula: 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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5
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Solve the equation using the square root method. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Solve the equation using the square root method. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
The square of the sum of a number and 5 is 49. Find the number. (There are two solutions.)
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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10
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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11
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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12
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Solve the equation using the square root method. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
The displacement, in cubic inches, of a car engine is given by the formula:
where
is the stroke and
is the bore, as shown here, and
is the number of cylinders.
Calculate the bore for the car with six cylinders,
inches of stroke, and
cubic inches of displacement. Use
to approximate 
A)
B)
C)
D)
E)









A)

B)

C)

D)

E)

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15
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
The displacement, in cubic inches, of a car engine is given by the formula:
where
is the stroke and
is the bore, as shown here, and
is the number of cylinders.
Calculate the bore for the car with six cylinders,
inches of stroke, and
cubic inches of displacement. Use
to approximate
Round the result to the nearest tenth of an inch. __________ in.









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17
The lengths of all three sides of an equilateral triangle are 12 feet. Find the height of the triangle.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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18
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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19
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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20
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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21
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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22
Solve the equation. 

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23
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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24
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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25
Solve the equation.
__________


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26
Solve the equation. 

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27
Solve the equation using the square root method. 

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28
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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29
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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30
Solve the equation. 

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31
Solve the equation. 

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32
Solve the equation. 

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33
The square of the sum of a number and 3 is 36. Find the number. (There are two solutions.)
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34
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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35
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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36
If you invest
in an account with interest rate r compounded annually, the amount of money A in the account after
years is given by the formula:
Solve this formula for 




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37
Solve the equation. 

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38
Solve the equation. 

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39
Solve the equation.
__________


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40
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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41
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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42
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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43
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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44
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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45
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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46
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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47
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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48
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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49
An advertisement for a portable computer indicates it has a 12-inch viewing screen. This means that the diagonal of the screen measures 12 inches. If the ratio of the length to the width of the screen is 3 to 4, we can represent the length with
and the width with
and then use the Pythagorean theorem to solve for
Once we have
the length will be
and the width will be
Find the length and width of this computer screen to the nearest tenth of an inch.
Length = __________ in., width = __________ in.







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50
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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51
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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52
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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53
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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54
An advertisement for a portable computer indicates it has a 19-inch viewing screen. This means that the diagonal of the screen measures 19 inches. If the ratio of the length to the width of the screen is 3 to 4, we can represent the length with
and the width with
and then use the Pythagorean theorem to solve for
Once we have
the length will be
and the width will be
Find the length and width of this computer screen to the nearest tenth of an inch. 
A) Length = 16.2 in., width = 12.4 in.
B) Length = 11.4 in., width = 15.2 in.
C) Length = 16.2 in., width = 10.4 in.
D) Length = 15.2 in., width = 11.4 in.
E) Length = 14.2 in., width = 12.4 in.







A) Length = 16.2 in., width = 12.4 in.
B) Length = 11.4 in., width = 15.2 in.
C) Length = 16.2 in., width = 10.4 in.
D) Length = 15.2 in., width = 11.4 in.
E) Length = 14.2 in., width = 12.4 in.
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55
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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56
Solve the equation by completing the square. 

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57
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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58
Solve the equation by completing the square. 

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59
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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60
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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61
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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62
At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is
To find the times at which the coin is
feet above the ground we substitute
for h in the equation, giving us
Solve this equation for t to find the times at which the coin is
feet above the ground. 
A)
B)
C)
D)
E)






A)

B)

C)

D)

E)

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63
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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64
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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65
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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66
To apply the quadratic formula to the equation
you have to notice that
Solve the equation using the quadratic formula.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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67
Solve the equation
using the quadratic formula. (Notice
)
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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68
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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69
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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70
Solve the following equation by first multiplying both sides by the LCD and then applying the quadratic formula to the result. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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71
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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72
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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73
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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74
Solve the equation by first factoring out the common factor
and then using the quadratic formula. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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75
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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76
Solve the equation by using the quadratic formula. 

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77
Solve the equation by using the quadratic formula. 

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78
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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79
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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80
Solve the equation by using the quadratic formula.
__________


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