Deck 7: Quadratic Expressions, Equations and Functions

Question 1

Use a number line graph to represent the solutions to the given quadratic inequalities.

-

A)
B)
C)
D)
E) None of these

Answer 1

Question 2

Use a number line graph to represent the solutions to the given quadratic inequalities.

-

A)
B)
C)
D)
E) None of these

Answer 2

Question 3

Use a number line graph to represent the solutions to the given quadratic inequalities.

-

A)
B)
C)
D)
E) None of these

Answer 3

Question 4

Use a number line graph to represent the solutions to the given quadratic inequalities.

-

A)
B)
C)
D)
E) None of these

Question 5

Use a number line graph to represent the solutions to the given quadratic inequalities.

-

A)
B)
C)
D)
E) None of these

Question 6

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D)
E) None of these

Question 7

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D) no solution
E) None of these

Question 8

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D)
E) None of these

Question 9

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D)
E) None of these

Question 10

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D)
E) None of these

Question 11

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D) no solution
E) None of these

Question 12

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D) no solution
E) None of these

Question 13

Solve the following quadratic inequalities and write your answer in interval notation.

-

A)
B)
C)
D)
E) None of these

Question 14

An electronics company has found that when a certain model of cellular phone is sold for a price of p dollars, the revenue R as a function of price p is . Determine the prices for which revenue will exceed

A)
B)
C)
D)
E) None of these

Question 15

A community center is building a haunted graveyard. The graveyard is rectangular, and they want it to be at least 1400 square ft in area. They have 180 ft of decorative fencing for the graveyard. If they use all of the fencing, what are the possible widths the graveyard could be?

A) Strictly between 20 and 70 ft
B) Less than 20 ft or more than 70 ft
C) Between 20 ft and 70 ft inclusive
D) Less than or equal to 20 ft or greater than or equal to 70 ft
E) None of these

Question 16

Change the function so that the graph that represents the function is shifted:

-7 units left and 3 units up

A)
B)
C)
D)
E) None of these

Question 17

Change the function so that the graph that represents the function is shifted:

-4 units right and 14 units down

A)
B)
C)
D)
E) None of these

Question 18

Change the function so that the graph that represents the function is shifted:

-3 units left and 6 units up

A)
B)
C)
D)
E) None of these

Question 19

Change the function so that the graph that represents the function is shifted:

-9 units right and 3 units down

A)
B)
C)
D)
E) None of these

Question 20

The value of the leading coefficient, a, is 1. Write the equation of the quadratic function with the vertex

A)
B)
C)
D)
E) None of these

Question 21

The value of the leading coefficient, a, is Write the equation of the quadratic function with vertex

A)
B)
C)
D)
E) None of these

Question 22

For the following functions use completing the square to rewrite the function in vertex form.

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A)
B)
C)
D)
E) None of these

Question 23

For the following functions use completing the square to rewrite the function in vertex form.

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A)
B)
C)
D)
E) None of these

Question 24

For the following functions use completing the square to rewrite the function in vertex form.

-

A)
B)
C)
D)
E) None of these

Question 25

For the following functions use completing the square to rewrite the function in vertex form.

-

A)
B)
C)
D)
E) None of these

Question 26

For the following functions use completing the square to rewrite the function in vertex form.

-

A)
B)
C)
D)
E) None of these

Question 27

For the following functions use completing the square to rewrite the function in vertex form.

-

A)
B)
C)
D)
E) None of these

Question 28

Use the values of a, b, and c to identify the vertex.

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A)
B)
C)
D)
E) None of these

Question 29

Use the values of a, b, and c to identify the vertex.

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A)
B)
C)
D)
E) None of these

Question 30

The graph of the function
is shown. Use the graph to estimate the zeros of the function.

A)
B)
C)
D)
E) None of these

Question 31

Find the discriminant and use it to describe the describe any real zeros.

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A) 0, one rational zero
B) 32, two rational zeros
C) 0, two rational zeros
D) 32, two irrational zeros
E) None of these

Question 32

Find the discriminant and use it to describe the describe any real zeros.

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A) 144, two rational zeros
B) 144, two irrational zeros
C) - 142 , two rational zeros
D) - 142 , no real zeros
E) None of these

Question 33

Find the discriminant and use it to describe the describe any real zeros.

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A) 49, two rational zeros
B) 49, two irrational zeros
C) -31 , no real zeros
D) -31 , two irrational zeros
E) None of these

Question 34

Identify the vertex of the graph of the following function.

A)
B)
C)
D)
E) None of these

Question 35

Determine whether the vertex is a maximum or a minimum, and identify the maximum or minimum output value of the following function.

A) maximum, -5
B) minimum, -4
C) minimum, -5
D) maximum, -4
E) None of these

Question 36

Write the equation of the axis of symmetry of the following function.

A)
B)
C)
D)
E) None of these

Question 37

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

A) maximum, 3
B) minimum, 8
C) maximum, 8
D) minimum, 3
E) None of these

Question 38

Use interval notation to represent the domain of the following function.

A)
B)
C)
D)
E) None of these

Question 39

Use interval notation to represent the range of the following function.

A)
B)
C)
D)
E) None of these

Question 40

Identify the vertex of the graph of the following function.

A)
B)
C)
D)
E) None of these

Question 41

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

A) maximum, -4
B) maximum, 3
C) minimum, 3
D) minimum, -4
E) None of these

Question 42

Use interval notation to represent the range of the following function.

A)
B)
C)
D)
E) None of these

Question 43

Find the real zeros of the following function if they exist.

A)
B)
C)
D) no real zeros
E) None of these

Question 44

Find the real zeros of the following function if they exist.

A)
B)
C)
D) no real zeros
E) None of these

Question 45

Find the real zeros of the following function if they exist.

A)
B)
C)
D) no real zeros
E) None of these

Question 46

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers.

-

A) - 256, rational
B) -64 , non-real
C) -256 , non-real
D) 64, rational
E) None of these

Question 47

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers.

-

A) 48, rational
B) -345 , irrational
C) 48, irrational
D) 345, rational
E) None of these

Question 48

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers.

-

A) -3 , irrational
B) -5 , non-real
C) 5 , rational
D) -3 , non-real
E) None of these

Question 49

Solve the following equations using the quadratic formula.

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A)
B)
C)
D)
E) None of these

Question 50

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 51

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 52

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 53

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 54

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 55

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 56

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 57

Solve the following equations using the quadratic formula.

-

A)
B)
C)
D)
E) None of these

Question 58

Two resistors And Are in series and have a total resistance of 19 ohms. The resistance of Is one of the solutions of the equation The other resistance Is the other solution. Find the value of each resistor in ohms.

A) -7 ohms and -12 ohms
B) 7 ohms and 12 ohms
C) 11 ohms and 9 ohms
D) -11 ohms and -9 ohms
E) None of these

Question 59

A landscaper has 180 feet of fencing to build to enclose a rectangular rose garden. The width of the garden is 24 feet shorter than the length of the garden. Find the length and width of the fence.

A) width = 7 ft, length = 24 ft
B) width = 12 ft, length = 15 ft
C) width = 30 ft, length = 6 ft
D) width = 6 ft, length = 30 ft
E) None of these

Question 60

The revenue in dollars from making Products is How many items must be produced for the revenue to be $400?

A) 40 items
B) 60 items
C) 10 items
D) 100 items
E) None of these

Question 61

What must be added to the binomial To make it a perfect square?

A) 14
B) 7
C) 49
D) 28
E) None of these

Question 62

What must be added to the binomial To make it a perfect square?

A)
B)
C)
D)
E) None of these

Question 63

Rewrite the equation To solve by completing the square. Do not solve the equation; just find the factored form.

A)
B)
C)
D)
E) None of these

Question 64

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 65

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 66

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 67

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 68

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 69

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 70

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 71

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 72

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 73

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 74

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 75

Solve the following equations by completing the square.

-

A)
B)
C)
D)
E) None of these

Question 76

Solve the following equations.

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A)
B)
C)
D)
E) None of these

Question 77

Solve the following equations.

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A)
B)
C)
D)
E) None of these

Question 78

Solve the following equations.

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A)
B)
C)
D)
E) None of these

Question 79

Solve the following equations.

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A)
B)
C)
D)
E) None of these

Question 80

Solve the following equations.

-

A)
B)
C)
D)
E) None of these