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

A)

B)

C)

D)

E)

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10
The square of the sum of a number and 2 is 9. Find the number.
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. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
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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16
If you invest
in an account with interest rate
compounded annually, the amount of money
in the account after
years is given by the formula
.
A)
B)
C)
D)
E)





A)

B)

C)

D)

E)

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17
Solve the equation using the square root method. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
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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19
The lengths of all three sides of an equilateral triangle are 18 feet. Find the height of the triangle.
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 using the square root method. 

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22
The square of the sum of a number and 3 is 16. Find the number. (There are two solutions.)
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23
Solve the equation. 

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24
Solve the equation. 

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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 using the square root method. 

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29
The lengths of all three sides of an equilateral triangle are 8 feet. Find the height of the triangle.
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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
Solve the equation. 

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34
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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35
Solve the equation. 

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





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37
Solve the equation. 

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38
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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39
Solve the equation. 

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40
Solve the equation. 

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41
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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42
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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43
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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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. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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46
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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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
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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50
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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51
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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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)none of these

A)

B)

C)

D)

E)none of these
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54
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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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. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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57
An advertisement for a portable computer indicates it has a 17-inch viewing screen. This means that the diagonal of the screen measures 17 inches. If the ratio of the height to the width of the screen is 3 to 4, we can represent the height with 3 x and the width with 4 x , and then use the Pythagorean theorem to solve for x . Once we have x , the height will be 3 x and the width will be 4 x . Find the height and width of this computer screen to the nearest tenth of an inch.
A)Width = 13.6 in.; Height = 10.2 in.
B)Width = 11.6 in.; Height = 12.2 in.
C)Width = 15.6 in.; Height = 12.2 in.
D)Width = 10.2 in.; Height = 13.6 in.
A)Width = 13.6 in.; Height = 10.2 in.
B)Width = 11.6 in.; Height = 12.2 in.
C)Width = 15.6 in.; Height = 12.2 in.
D)Width = 10.2 in.; Height = 13.6 in.
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58
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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59
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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60
Solve the equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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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
Solve the equation by completing the square. 

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63
Solve the equation by completing the square. 

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64
Solve the equation by completing the square. 

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65
Solve the equation by completing the square. 

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66
Solve the equation by using the quadratic formula. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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67
Solve the equation by using the quadratic formula. 
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 completing the square. 

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70
Solve the equation by completing the square. 

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71
Solve the equation by completing the square. 

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72
Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. 

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

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75
Solve the equation by completing the square. 

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76
Solve the equation by completing the square. 

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77
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
in the equation, giving us
. Solve this equation for
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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78
Solve the equation by completing the square. 

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79
Solve the equation by completing the square. 

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80
An advertisement for a portable computer indicates it has a 13-inch viewing screen. This means that the diagonal of the screen measures 13 inches. If the ratio of the height to the width of the screen is 3 to 4, we can represent the height with 3 x and the width with 4 x , and then use the Pythagorean theorem to solve for x . Once we have x , the height will be 3 x and the width will be 4 x . Find the height and width of this computer screen to the nearest tenth of an inch. Width = __________ in. Height = __________ in.
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