Question 1

Which function is graphed?

Accepted Answer

$f(x) = (x - 2)^2 + 1$

Answer

$f(x) = (x + 1)^2 - 2$

Answer

$f(x) = (x - 1)^2 + 1$

Answer

$f(x) = (x + 2)^2 - 1$

Question 2

What sum will give you the polynomial: $3x^3 - 2x + 1$

Accepted Answer

$(5x^3+3x+7) + (-2x^3 - 5x - 6)$

Answer

$(x^3 + x + 1) + (2x^3 + x +2)$

Answer

$(4x^3 - 2x - 3) + (2x^3 + x + 1)$

Answer

$(2x^4 + x^3 - 3) + (-2x^4 + 3x^3 + 2)$

Question 3

Find the inverse of the following function: $f(x) = \frac{x}{2}+5$

Accepted Answer

$f^{-1}(x) = 2x - 10$

Answer

$f^{-1}(x) = 5x + 2$

Answer

$f^{-1}(x) = \frac{x}{2} - 5$

Answer

$f^{-1}(x) = 2x - 5$

Question 4

Solve the equation for r: $A =\pi r^2$

Accepted Answer

$r = \sqrt \frac{A}{\pi}$

Answer

$r = A - \pi$

Answer

$r = \sqrt A - \pi$

Answer

$r = A\pi$

Question 5

Find the vertex of the quadratic graphed.

Accepted Answer

(2,1)

Answer

(-1,2)

Answer

(0,5)

Answer

(1,2)

Question 6

Which of the following is an equivalent form of $f(x) = (x - 2)^2 + 8$

Accepted Answer

$f(x) = x^2 - 4x + 12$

Answer

$f(x) = x^2 - 4x - 4$

Answer

$f(x) = (x - 6)(x + 2)$

Answer

$f(x) = (x + 6)(x - 2)$

Question 7

What are the x-intercepts of the quadratic?

Accepted Answer

x = 4 and x = 6

Answer

No Solution

Answer

x = 4

Answer

x = 6

Question 8

Given the function $f(x) = 2x^2 - 3x + 1$ , find the average rate of change from x = 1 to x = 2

Accepted Answer

3

Answer

2

Answer

0

Answer

1

Question 9

Which system only has one solution?

Accepted Answer

$x = -3$   &  $y=x^2+3x+2$

Answer

$y = 3x - 1$    &       $y = x^2+3x+2$

Answer

$y = -1$ & $y = x^2+3x + 2$

Answer

$y = 3$ & $y = x^2 + 3x + 2$

Question 10

A study was performed relating minutes of exercise to pulse rate and the following scatter plot was drawn. According to the data, which of the following is a reasonable conclusion?

Accepted Answer

As minutes of exercise increase, the pulse rate increases.

Answer

There is no correlation between minutes of exercise and pulse rate

Answer

As minutes of exercise increase, the pulse rate remains the same

Answer

As minutes of exercise increase, the pulse rate decreases

Question 11

Which function best models the data in the scatterplot?

Accepted Answer

f(x) = x +3

Answer

f(x) = -x + 2

Answer

f(x) = 0.5x + 2

Answer

f(x) = x + 5

Question 12

Which function best fits the data?

Accepted Answer

exponential

Answer

linear

Answer

quadratic

Question 13

Julian gathered data on life expectancy and found the least squares regression line to be $f(x) = 0.31x + 69.3$ where f(x) is the life expectancy after x years. What does the slope mean?

Accepted Answer

Every year the life expectancy increases by 0.31 years

Answer

Life expectancy is decreasing every year

Answer

Only 31% of the people's life expectancy changes

Answer

The starting value is 69.3

Question 14

Given the information below, which function has a better fit?

Accepted Answer

linear

Answer

exponential

Question 15

Which of the following is a factor of the polynomial: $x^2+6x+5$

Accepted Answer

(x+5)

Answer

(x + 3)

Answer

(x - 5)

Answer

(x + 6)

Question 16

Factor the polynomial: $p^2 - 9q^2$

Accepted Answer

(p + 3q)(p - 3q)

Answer

(p - 3q)(p - 3q)

Answer

(p + 3q)(p + 3q)

Answer

p(p - 3q)

Question 17

Solve $x^2 + 5x + 6 = 0$

Accepted Answer

x = -3, x = -2

Answer

x = 3, x = -2

Answer

x = -3, x = 2

Answer

x = 3, x = 2

Question 18

Solve: $3a^2+6a = 0$

Accepted Answer

a = 0, a = -2

Answer

a = -3, a = -2,

Answer

a = 0, a = 2

Answer

a = 0, a = $\frac{1}{2}$

Question 19

Solve the equation: $x^3 + 4x^2-25x - 100 = 0$

Accepted Answer

-5, -4, 5

Answer

-5, 4, 5

Answer

-4, 25

Answer

4, 5

Question 20

Find the sum: $(3x^3 + 7x^6 + 3) + (-5x^6 + 9 + 5x^3)$

Accepted Answer

$2x^6 + 8x^3 +  12$

Answer

$-2x^6 + 16x^3 + 12$

Answer

$2x^6 + 8x^3 - 6$

Answer

$-2x^6 + 16x^3 + 8$

Question 21

Find the difference: $(6x^3 +8x^2 + 8) - (7x^3 - 7x^2 + 3x - 8)$

Accepted Answer

$-x^3+15x^2- 3x + 16$

Answer

$-x^3-15x^2+3x+12$

Answer

$x^3-15x^2+3x$

Answer

$-x^3+15x^2-3x$

Question 22

Find the product: $(x + 5)(x^2 - 2x + 3)$

Accepted Answer

$x^3+3x^2-7x+15$

Answer

$x^3-2x^2+15$

Answer

$x^3-3x+15$

Answer

$x^3 + 3x^2-10x + 15$

Question 23

Find the product: (x - 2)(x + 5)

Accepted Answer

$x^2 + 3x - 10$

Answer

$x^3 - 7x - 10$

Answer

$x^2+7x + 10$

Answer

$x^2 +7x-10$

Question 24

Graph: $f(x) = -x^2 - 3x + 1$

Accepted Answer

B

Answer

D

Answer

C

Answer

A

Question 25

Graph: $f(x) = -x^2 + 3x + 1$

Accepted Answer

A

Answer

C

Answer

D

Answer

B

Question 26

Solve the equation: $\frac{1}{6}x^2=54$

Accepted Answer

-18, 18

Answer

No real solutions

Answer

-9, 9

Answer

-3, 3

Question 27

Solve the equation: $3x^2+10x=2x^2+2x-14$

Accepted Answer

$-4-\sqrt{2}$ and $-4+\sqrt{2}$

Answer

$8-2\sqrt{2}$ and $8+2\sqrt{2}$

Answer

$-8-2\sqrt{2}$ and $-8+2\sqrt{2}$

Answer

$4-\sqrt{2}$ and $4+\sqrt{2}$

Question 28

Solve the following formula for r: $S=4ar^2$

Accepted Answer

$r=\sqrt{\frac{S}{4a}}$

Answer

$r=\frac{S}{4a}$

Answer

$r^2=\frac{S}{4a}$

Answer

$r=\sqrt{S-4a}$

Question 29

Which of the following is a solution to the system:
$\begin{matrix} 
 l(x) = -3x+1 
 \ 
 q(x)=2x^2-3x-2
 \end{matrix}$

Accepted Answer

$\begin{matrix}(-1.23, 4.67)\
(1.23, -2.67)\end{matrix}$

Answer

$(0.25,-0.94)$

Answer

$\begin{matrix}(0.25, -0.94)\
(0, -0.9)\end{matrix}$

Answer

No real solution

Question 30

Which of the following is an equivalent form of: $f(x) = x^2 - 12x + 11$

Accepted Answer

$f(x) = (x - 11)(x - 1)$

Answer

$f(x) = (x + 6)^2 + 25$

Answer

$f(x) = (x + 6)^2 - 25$

Answer

$f(x) = (x - 12)(x + 1)$

Question 31

Mr. Watkins uses the function below to find the cost of a taxi ride in dollars as a function of x, the number of miles that the taxi has traveled: $f(x) = 2x + 4$. 
Which answer choice shows the inverse function to calculate the number of miles traveled as a function of x, the cost of the taxi fare?

Accepted Answer

$f ^{-1}(x) = \frac{1}{2}x - 2$

Answer

$f ^{-1}(x) =  - 2$

Answer

$f ^{-1}(x) =4-2x$

Answer

$f ^{-1}(x) = -2x - 4$

Question 32

Which of the following describes the results of multiplying an irrational number by a nonzero rational number?

Accepted Answer

The product must be an irrational.

Answer

The product must be a positive rational number.

Answer

The product must be a negative rational number.

Answer

The product could be either rational or irrational.

Question 33

Find the axis of symmetry and the vertex of the parabola: $g(x) = -3x^2 + 12x - 8$

Accepted Answer

$\begin{matrix}Axis: x = 2\
Vertex: (2, 4)\end{matrix}$

Answer

$\begin{matrix}Axis: x = -4\
Vertex: (-4,-2)\end{matrix}$

Answer

$\begin{matrix}Axis: x =- 2\
Vertex: (-2, -4)\end{matrix}$

Answer

$\begin{matrix}Axis: x = 4\
Vertex: (4,2)\end{matrix}$

Question 34

How would you change the graph of $f(x) = x^2$ to produce the graph of $g(x) = x^2 + 3$?

Accepted Answer

Shift the graph of $f(x) = x^2$ up 3 units.

Answer

Shift the graph of $f(x) = x^2$ right 3 units.

Answer

Shift the graph of $f(x) = x^2$ down 3 units.

Answer

Shift the graph of $f(x) = x^2$ left 3 units.

Question 35

The table gives the number of inner tubes sold in a bike shop between 1985 and 1990. Determine which model best fits the data.

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Question 36

Determine which function the set of ordered pairs best represents:
(-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0)

Accepted Answer

Quadratic

Answer

Linear

Answer

Absolute Value

Answer

Exponential

Question 37

A salesperson earns a monthly salary of $500 a month plus a percentage of the proceeds from the number of items he sells. Which graph could be a model of this situation?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 38

What is the range of the function $g(x) = 2x^2 - 2x + 3$ with a domain of $1\le{g(x)}\le2$?

Accepted Answer

$3\le{g(x)}\le7$

Answer

$1\le{g(x)}\le7$

Answer

$3\ge{g(x)}\ge7$

Answer

$3\le{g(x)}\le11$

Question 39

A rock is thrown straight up, with an initial velocity of twenty meters per second and from an initial height of two meters. The function $h(t) = 2 + 20t - 4.9t^2$ describes the height as a function of time. What is the average speed of the rock during the first two seconds of flight?

Accepted Answer

10.2 m/sec

Answer

2.65 m/sec

Answer

-10.2 m/sec

Answer

-2.65 m/sec

Question 40

What type of function is depicted in the following graph:

Accepted Answer

Piecewise function

Answer

Absolute value function

Answer

Step function

Question 41

Which function is NOT equivalent to $f(x) = x^2 + 2x - 15$?

Accepted Answer

$f(x) = (x - 1)^2 - 14$

Answer

$f(x) = (x + 5)(x - 3)$

Answer

$f(x) = (x + 1)^2 - 16$

Question 42

What transformation(s) changed the graph of $f(x)=x^2$ to the graph shown?

Accepted Answer

Reflection and a vertical stretch

Answer

Horizontal translation

Answer

Reflection

Answer

Vertical translation and reflection

Question 43

Which function has the largest range with a domain of 6?

Accepted Answer

$g(x)=3(2)^x$

Answer

$h(x)=-2x^2+x+4$

Answer

$f(x)=3x+9$

Question 44

Which function increases the fastest for a domain of all real numbers greater than 1?

Accepted Answer

$g(x)=0.5(3)^x$

Answer

$f(x)=-x+2$

Answer

$h(x)=0.5x^2+3x+1$

Question 45

What is the domain of the function shown in the graph?

Accepted Answer

$-4\le{x}<3$

Answer

$3\le{y}\le5$

Answer

$-4<{x}\le3$

Answer

$4<{y}\le5$

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