Quiz about College Algebra

Question 1

Question 1.

Accepted Answer

II only

Answer

I and II only

Answer

I only

Answer

II and III only

Answer

I, II and III

Question 2

Question 2.

Accepted Answer

4

Answer

6

Answer

-2

Answer

3

Answer

9

Question 3

Question 3.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 4

Write the equation in vertex form:
y = -2x²+16x+4

Accepted Answer

y =-2(x-4)²+36

Answer

y=-2(x-4)²+4

Answer

y =-2(x+4)²+36

Answer

y=-2(x+4)²+4

Question 5

What is the vertex:
y = 2(x-3)²+18

Accepted Answer

(3,18)

Answer

(-3,-18)

Answer

(3,-18)

Answer

(-3,18)

Question 6

Given f(x) = 3x - 2 and g(x) = x²-5. Find: (f-g)(2)

Accepted Answer

5

Answer

0

Answer

4

Answer

2

Question 7

Which quadratic is the widest?

Accepted Answer

y = -3/4x²+4x+1

Answer

y=2x²-3x+7

Answer

y=-4x2+9

Answer

y=7/5x²-5x+1

Question 8

Write a linear function f with the values
f(1) = 3 and f(4) = -6.

Accepted Answer

y = -3x + 6

Answer

y = -6

Answer

y = -3x - 6

Answer

y = 3x + 6

Question 9

Monica was taking a bus trip to see her aunt.  For her to ride 50 miles it cost her $40.  For her to ride 250 miles the bus trip would cost her $100.  Find the rate of change in dollars per mile.  Write an equation in slope-intercept form to model this situation.

Accepted Answer

y = 3/10x + 25

Answer

y = 3/10x + 40

Answer

y = 2.5x + 25

Answer

y = 3/10x + 30

Question 10

A school club will have spend $0.25 for each lollipop for the first 1000 lollipops it orders for a fundraiser. After that, they will no longer have to purchase future lollipops. Which of the following graphs best models the cost incurred by the school club?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 11

A school club will have spend $0.25 for each lollipop for the first 1000 lollipops it orders for a fundraiser. After that, they will no longer have to purchase future lollipops. Which of the following piece-wise functions best models the cost incurred by the school club?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 12

Which of the following tables of values represents graphs of linear functions?

Accepted Answer

Option A is correct

Accepted Answer

Option C is correct

Answer

B.

Answer

D.

Question 13

If the graph of this absolute value function is

f(x) = a|bx + c| + d, what is the value of d in the equation?

Accepted Answer

3

Answer

-4

Answer

4

Answer

1/2

Question 14

Which of the following is the maximum point on the graph of f(x) = -x²+ 6x + 4 ?

Accepted Answer

(3,13)

Answer

(3,31)

Answer

(-3,-23)

Answer

(3,22)

Question 15

Regarding the graph of f(x) above, which of the following statements is NOT true?

Accepted Answer

f(-2) < f(0) < f(-6)

Answer

f(-6) < f(-5) < f(2)

Answer

f(-6) < f(1) < f(2)

Answer

f(-3) < f(0) < f(1)

Answer

Cannot be determined

Question 16

Regarding the graph of f(x) above, which of the following statements is true?

I. The range of f(x) is [-4,8)

II. f(x)=-3 only when x=-2

III. The domain of f(x) is [-6, 3]

Accepted Answer

I only

Answer

I and III only

Answer

I, II and III

Answer

I and II only

Answer

II and III only

Question 17

Regarding the graph of h(x) above, which of the following intervals includes all the value(s) of x for which h(x) > 0?

Accepted Answer

(-3,5)

Answer

(-3,-2)u(2,5)

Answer

[-3,5)

Answer

[-3,5]

Answer

(-4,-2)U(2,5)

Question 18

Regarding the graph of h(x) above, which of the following intervals indicates all the value(s) of x for which h(x) is increasing?

Accepted Answer

(-4,-2)U(2,5)

Answer

(-3,-2)U(2,5)

Answer

(-4,5)

Answer

[-3,5]

Answer

(-3,5)

Question 19

About how many male math teachers were there in 2006?

Accepted Answer

35

Answer

15

Answer

30

Answer

45

Question 20

What type of association does this graph have?

Accepted Answer

negative

Answer

positive

Answer

none

Answer

all of the above

Question 21

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

Accepted Answer

18 chapters

Answer

12 chapters

Answer

15 chapters

Answer

21 chapters

Question 22

What is the type of correlation?

Accepted Answer

no association

Answer

Negative

Answer

positive

Question 23

What type of correlation does this scatter plot represent?

Accepted Answer

no association

Answer

positive linear association

Answer

negative linear association

Answer

nonlinear association

Question 24

Which sentence describes the relationship shown on this scatterplot?

Accepted Answer

As the temperature increases, the number of visitors increases.

Answer

As the temperature decreases, the visitors increase.

Answer

As the visitors increase, the temperature decreases.

Answer

No correlation

Question 25

Johnny has to pay $15 for a large pizza and 1.50 for each topping.  What is the meaning of the y-intercept?

Accepted Answer

It cost $15 for a large pizza with no toppings

Answer

It cost 1.50 per topping

Answer

It cost 1.50 for unlimited toppings

Answer

It cost $15 for a large pizza

Question 26

Given g(x) provided in the graph and the function

f(x) = -3(x + 4)² - 1, what is true about the two functions?

Accepted Answer

They both open downward

Answer

The vertex is (-4, -1)

Answer

They have the same y-intercept

Answer

They have the same axis of symmetry

Question 27

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

Accepted Answer

$6060

Answer

$20

Answer

$600

Answer

$10,250

Question 28

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to reach a height of 30 feet?

Accepted Answer

1.77 seconds

Answer

2.24 seconds

Answer

2.45 seconds

Answer

2.83 seconds

Question 29

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

Accepted Answer

horizontal shift left 7 units

Answer

horizontal shift right 7 units

Answer

vertical shift up 7 units

Answer

vertical shift down 7 units

Question 30

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

Accepted Answer

f(x)= 2x²+3

Answer

f(x)= 2(x-3)²

Answer

f(x)= 2(x+3)²

Answer

f(x)= (x-2)²+3

Question 31

Which function represents the graph of f(x) = | x | translated 3 units to the right?

Accepted Answer

g(x) = | x - 3 |

Answer

g(x) = | x + 3 |

Answer

g(x) = |x| - 3

Answer

g(x) = |x| + 3

Question 32

Which function represents the graph of f(x) = x² translated 5 units down?

Accepted Answer

f(x) = x² - 5

Answer

f(x) = x² + 5

Answer

f(x) = (x-5)²

Answer

f(x) = (x + 5)²

Question 33

Evaluate f(1)

Accepted Answer

0

Answer

10

Answer

.5

Answer

3

Question 34

.
The blue is f(x)=|x|, red must be

Accepted Answer

g(x)=|x-2|

Answer

g(x)=|x+2|

Answer

g(x)=|x|+2

Answer

g(x)=|x|-2

Question 35

.
If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 36

.
If the blue is f(x)=x^2,the red must be

Accepted Answer

g(x)=(x-3)²

Answer

g(x)=(x+3)²

Answer

g(x)=x2+3

Answer

g(x)=x2-2

Question 37

Use the graph.  Evaluate f(3)

Accepted Answer

-2

Answer

0

Answer

3

Answer

-3

Question 38

Name the vertex of the parabola:
y = (x - 2)² + 7

Accepted Answer

(2, 7)

Answer

(-2, -7)

Answer

(2, -7)

Answer

(-2, 7)

Question 39

Evaluate f(-2) if f(x) = x²+ 3

Accepted Answer

7

Answer

-1

Answer

1

Answer

-7

Question 40

Question 40.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 41

Question 41.

Accepted Answer

c

Answer

a

Answer

b

Answer

d

Question 42

f(x) = 9-3x

g(x) = 5x-7

Find (f+g)(x).

Accepted Answer

2x+2

Answer

14x-10

Answer

-8x+2

Answer

2x-2

Question 43

f(x) = x²+9

g(x) = x-9

Find (f-g)(x).

Accepted Answer

x2-x+18

Answer

x2+x+9

Answer

x2-x+9

Answer

x2-x

Question 44

f(x)=x²+1

g(x)=2x-5

Find (f-g)(x)

Accepted Answer

x2-2x+6

Answer

-x2+2x+4

Answer

-x2-2x-6

Answer

x2-2x-4

Question 45

f(x) = 4x+8

g(x) = x+3,

Find (f*g)(x)

Accepted Answer

4x²+20x+24

Answer

4x2+24

Answer

4x²+12x+24

Answer

4x2+4x+24

Question 46

f(x)=x³-3x

g(x)=-4x+1

Find (f*g)(x)

Accepted Answer

-4x⁴+x³+12x²-3x

Answer

-4x³-5x²-3

Answer

-4x³+2x²-3x

Answer

-4x^4-x³+12x²⁺3x

Question 47

f(n)=2n+1

g(n)=3n

Find (f+g)(n)

Accepted Answer

5n+1

Answer

-5n+1

Answer

-2n+1

Answer

-6n-1

Question 48

All of the x values or inputs are called what?

Accepted Answer

Domain

Answer

Range

Answer

Relation

Answer

Function

Question 49

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Accepted Answer

5x² + 6x - 1

Answer

11x2 - 1

Answer

5x⁴ + 6x² - 1

Answer

5x² + 8x - 1

Question 50

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

Accepted Answer

26

Answer

13

Answer

0

Answer

6x2+8x+12

Question 51

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

Accepted Answer

0

Answer

-2

Answer

undefined

Answer

1

Question 52

f(x)= x²- 1

g(x)= x - 1

Find (f/g)(10)

Accepted Answer

11

Answer

9

Answer

90

Answer

110

Question 53

Which of the following represent the graph?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 54

What is the domain for the following function?

Accepted Answer

All real numbers except 2.

Answer

All real number except -2.

Answer

All real numbers except 4.

Answer

All real numbers.

Question 55

Describe the transformation of the function.

Accepted Answer

shift left 3 units

Answer

shift right 3 units

Answer

shift up 3 units

Answer

shift down 3 units

Question 56

Describe the transformation of the function.

Accepted Answer

shift up by 3 units

Answer

shift right by 3 units

Answer

shift left by 3 units

Answer

shift down by 3 units

Question 57

Describe the transformations of the function.

Accepted Answer

Shift up by 2 units

Reflected over the x-axis

Answer

Shift down by 2 units

Reflected over the y-axis

Answer

Shift up by 2 units

Reflected over the y-axis

Answer

Shift left by 2 units

Reflected over the x-axis

Question 58

What is the vertex?

Accepted Answer

(5,2)

Answer

(2,5)

Answer

(-2,5)

Answer

(-5,2)

Question 59

What is the axis of symmetry in the following graph?

Accepted Answer

x=-1

Answer

(-1,0)

Answer

X=0

Answer

X=1

Question 60

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

Accepted Answer

-b/2a

Answer

-a

Answer

-b/a

Answer

b/2a

Question 61

What is the vertex of y=x²+4x+3?

Accepted Answer

(-2,-1)

Answer

(2,1)

Answer

(-2,1)

Answer

(0,0)

Question 62

Does the equation open up or down?
Y = -3x² +7x - 2

Accepted Answer

down

Answer

up

Answer

both

Answer

neither

Question 63

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 64

Does this parabola have a minimum or maximum and what is its value?

Accepted Answer

maximum: 5

Answer

minimum: 2

Answer

maximum: 2

Answer

minimum: 5

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