Quiz about Pre-calculus Midterm Exam

Question 1

Which of the following is a factor? 4x²-9

Accepted Answer

(2x+3)

Answer

(4x-9)

Answer

x

Question 2

What is row 5 of Pascal's Triangle?

Accepted Answer

1, 5, 10, 10, 5, 1

Answer

1, 2, 1

Answer

1, 3, 3, 1

Answer

1, 4, 9, 4, 1

Question 3

Calculate ₁₀C₃

Accepted Answer

120

Answer

720

Answer

90

Answer

72

Question 4

Find the coefficient of x³in the expansions of (x + 2)⁵.

Accepted Answer

40

Answer

35

Answer

30

Answer

25

Question 5

Evaluate the limit.

Accepted Answer

-12.5

Answer

0

Answer

1

Answer

Limit DNE

Question 6

Which of the following could be the functions f and g such that the composition f(g(x)) is equal to the given expression.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 7

A tennis ball is launched upward from the ground. The function h(t) = -16t² + 35t models the path of the ball. At what time will the ball be at 10 feet on its way down?

Accepted Answer

1.85 sec

Answer

0.34 sec

Answer

2.19 sec

Answer

5.50 sec

Question 8

Given the functions f(x) = 3x + 10 and g(x) = x² + 4x, what is the value of f(g(-3))?

Accepted Answer

1

Answer

-53

Answer

5

Answer

-3

Question 9

Identify the x and y intercepts, if any, of the equation.

Accepted Answer

(-.75,0), (0,3)

Answer

(-1,0)

Answer

(0,3)

Answer

(-1,0), (0,4)

Question 10

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

(-4, -1) and (-6, -4)

Answer

(-1, -4) and (-4, -6)

Question 11

Simplify

Accepted Answer

(34-77i)/109

Answer

(-8i+1)/10

Answer

(8+i)/11

Answer

(21-38i)/58

Question 12

Simplify

Accepted Answer

(-8+15i)/17

Answer

(-10+6i)/17

Answer

(-23+36i)/25

Answer

(-21+33i)/34

Question 13

y = 8x² - 5x⁸ + 3x⁷-10x⁵

Accepted Answer

down and down

Answer

down and up

Answer

up and down

Answer

up and up

Question 14

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Accepted Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Even

Answer

Leading Coefficient Negative
Degree - Odd

Question 15

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Accepted Answer

Leading Coefficient Negative
Degree - Odd

Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Even

Question 16

State the vertical asymptote:  f(x)=(x-2)/(x+5).

Accepted Answer

x = -5

Answer

x = -2/5

Answer

x = -5/2

Answer

x = 2

Question 17

For which value is the expression undefined?

Accepted Answer

3

Answer

-4

Answer

-3

Answer

0

Question 18

State the horizontal asymptote: (2x²-5x +1)/(x²-x)

Accepted Answer

y = 2

Answer

y = 1

Answer

y = 0

Answer

There is no HA

Question 19

What is the X-Intercept?

Accepted Answer

x= 0

Answer

x= 4

Answer

x= 5

Answer

x= -5

Question 20

What are the asymptotes?
g(x) = 4 / (x - 5)

Accepted Answer

x = 5 & y = 0

Answer

x = 5 & no EBA

Answer

x = -5 & y = 4

Answer

BOBO

Question 21

Determine the x-coordinate of the hole on the graph of
f(x)= (x²-2x + 1)/(x²+2x - 3)

Accepted Answer

1

Answer

-1

Answer

3

Answer

-3

Question 22

The y-intercepts of a rational function are:

Accepted Answer

the value of f(0)

Answer

the real zeros of the numerator

Answer

always zero

Answer

the real zeros of the denominatior

Question 23

Determine which of the following are direct variations?

Accepted Answer

-2x - y = 0

Accepted Answer

y=2x

Answer

2x + y = 7

Answer

y +3 = x + 3

Question 24

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

Accepted Answer

$308

Answer

$2

Answer

$1.57

Answer

$265

Question 25

The equation
xy = 25 represents:

Accepted Answer

inverse variation

Answer

direct variation

Answer

joint variation

Answer

none of these

Question 26

What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power

Accepted Answer

direct variation

Answer

inverse variation

Answer

joint variation

Answer

none of these

Question 27

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable

Accepted Answer

inverse variation

Answer

direct variation

Answer

joint variation

Answer

none of these

Question 28

Suppose y varies jointly as x & z.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.

Accepted Answer

-140

Answer

140

Answer

-4

Answer

4

Question 29

How many extrema are in the picture?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 30

What is the interval of increase?

Accepted Answer

(2, infinity)

Answer

(negative infinity, -2)

Answer

(-2, infinity)

Answer

(negative infinity, 2)

Question 31

Which of the following will be a parabola that opens down?

Accepted Answer

y = -x2

Answer

y = x2 -1

Answer

y = -x -1

Answer

y = 3x2

Question 32

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

Accepted Answer

Translates vertically

Answer

Translates horizontally

Answer

Dilates (stretches)

Question 33

Tell how the function transformed from y =x²
y = -2x²

Accepted Answer

Stretched vertically and reflected over x-axis

Answer

Translated left 2 units

Answer

Reflected over x-axis

Answer

Compressed vertically and reflected over the x-axis

Question 34

Question 34.

Accepted Answer

horizontal shift to the right 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the left 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the right 2 and vertical compression by a factor of 3

Answer

horizontal shift to the left 2 and vertical compression by a factor of 3

Question 35

Simplify.

Accepted Answer

7/(m-3)

Answer

(m+6)/(m-3)

Answer

7(m+6)

Answer

(m-3)

Question 36

Multiply and Simplify

Accepted Answer

(x+2)/4(x+1)

Answer

4(x+3)/(x+2),

Answer

(x+2)/4(x+3),

Answer

4(x+1)/(x+2),

Question 37

As x increases, y increases

Accepted Answer

positive correlation

Answer

correlation coefficient

Answer

causation

Answer

negative correlation

Question 38

The number of siblings you have and your weight.

Accepted Answer

No correlation

Answer

Positive correlation

Answer

Negative correlation

Question 39

What type of correlation?
The temperature outside and the amount of ice cream sales.

Accepted Answer

Positive correlation

Answer

Negative correlation

Answer

No correlation

Question 40

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

Accepted Answer

30

Answer

1

Answer

5!

Answer

6!

Question 41

How would you solve?
A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

Accepted Answer

Combination

Answer

Permutation

Answer

Factorial

Answer

MPC

Question 42

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

Accepted Answer

8!

Answer

8

Answer

64

Answer

56

Pre-calculus Midterm Exam

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