2 4

2

b b ac

a

− − Calculator Portion

1. State whether the graph is linear, quadratic, exponential or none of the above. Write

your answer on the graph.

[A] [B] [C]

[D] [E] [F]

[G] [H] [I]

2. Given the table determine whether the data is this function linear, quadratic, or

exponential?

3. Given : ( ) ( ) = 3.8 4.5 9.37x

g x − − , find g(2). (Round your result to the nearest

hundredth).

4. Which of these relations are functions? Select all that apply.

[A] [B] [C]

[D] [E] [F]

5. Which of these relations are functions? Select all that apply.

[A] [B] [C]

[D] [E] [F]

6. Which of these relations are functions? Select all that apply.

[A] [B] [C]

[D] [E] [F]

7. Which of these relations are functions? Select all that apply.

[A] [B] [C] [D]

[E] [F] [G] [H]

8. Which of these relations are functions? Select all that apply.

[A] [B] [C]

[D] [E] [F]

For problems 9 – 10 state the domain and range of each relation? Then determine

whether the relation is a function or not.

9.{ (15, 2), (15, 18), (8, 17), (19, 9), (8, 7)} 10.

Domain :

Range :

Domain :

Range :

10. John deposited $1,155 in a savings account earning 11% interest, compounded

annually.

a) To the nearest cent, how much will he have in 4 years? (rounded to the nearest cent

b) How much interest did John earn over 4 years? (rounded to the nearest cent)

11. How much of a radioactive kind of bismuth will be left after 80 minutes if the half-

life is 20 minutes and you start with 23,840 grams?

12. A scientist is studying wildlife. She estimates the population of bats in her state to be

270,000. She predicts the population to grow at an average annual rate of 2.9 percent.

Using the scientist’s prediction, create an equation that models the population of bats,

y, after x years.

[A] ( ) = 270000 1.29x

y [B] ( ) = 1.29 270000x

y [C] ( ) = 270000 1.029x

y

[D] ( ) = 1.029 270000x

y [E] ( ) = 270000 0.71x

y

13. The rectangle shown below has a length of 6 feet.

The value of the area of the rectangle, in square feet, is an irrational number. Therefore,

the number that represents the width of the rectangle must be____________.

[A] a whole number. [B] a rational number. [C] an irrational number.

[D] a non-real number. [E] an integer number.

14. Ms. Robinson wrote the six numbers listed below.

18 3 2 7 6 4 7 5 8 2 24

She asked the students in her math class to identify two irrational numbers from the

list whose product results in a rational number. Which combination of numbers is

correct?

[A] 3 2 and 7 6 [B] 3 2 and 5 8 [C] 7 6 and 4 7

[D] 7 6 and 2 24 [E] 18 and 5 8 [F] 4 7 and 4 7

15. Which of the following equations does not have a real solution.

[A] 23 = 75x [B]

23 48 = 0x− − [C] 25 12 = 8x −

[D] 24 + 48 = 12x [E]

22 + + 3 = 0x x

16. An object is launched at 19.8 meters per second (m/s) from a 71.4-meter tall platform.

The equation for the object's height s(t), in meters at time t, in seconds after launch is

( ) 2= – 6.6 19.8 + 71.4 s t t t+

When will the object reach it’s maximum height, and what is this maximum height?

Use the density curves below to answer questions 17 – 21.

17. What is the mean height of women aged 20 to 29?

18. What is the mean height of men aged 20 to 29?

19. On average how much taller are men aged 20 to 29 compared to women aged 20

to 29?

20. What is the standard deviation of a women aged 20 to 29?

21. What is the standard deviation of a men aged 20 to 29?

22. Simplify :

7

2

90

5

x

x 23. Simplify :

3 7 654x y z

24. A rectangle has a length = 3x + 7 feet and width = x + 5 feet. If the area of the

rectangle is 128 square feet, what is the width of the rectangle in feet?

25. If Jane has 36 coins totaling $3.00, and the coins are all nickels and quarters, how

many of each coin does she have?

26. A local school had a concert last week where two types of tickets were sold. Adult

ticket cost $3.50 more than a student ticket. There were 196 adult tickets sold and

240 student tickets sold. If the total amount of ticket sales totaled $3,193, how much

was the cost of an adult ticket?

27. Solve the system of equations :

2 = + 16 3

= 5 + 39

y x x

y x

−

28. When the function ( ) 2 = f x x is multiplied by the value 𝑎, where 0 < 𝑎 < 1, the

graph of the new function, ( ) 2 = g x ax .

[A] opens upward and is wider [B] opens upward and is narrower

[C] opens downward and is wider [D] opens downward and is narrower

29. When the function ( ) 2 = f x x is multiplied by the value 𝑎, where 1 < 𝑎 , the

graph of the new function, ( ) 2 = g x ax .

[A] opens upward and is wider [B] opens upward and is narrower

[C] opens downward and is wider [D] opens downward and is narrower

30. When the function ( ) 2 = f x x is multiplied by the value 𝑎, where 𝑎 < –1, the

graph of the new function, ( ) 2 = g x ax .

[A] opens upward and is wider [B] opens upward and is narrower

[C] opens downward and is wider [D] opens downward and is narrower

31. When the function ( ) 2 = f x x is multiplied by the value 𝑎, where –1< 𝑎 < 0 , the

graph of the new function, ( ) 2 = g x ax .

[A] opens upward and is wider [B] opens upward and is narrower

[C] opens downward and is wider [D] opens downward and is narrower

32. Given the function ( ) 2 = f x x the function, ( ) 2 = g x ax , and the function ( ) 2 = h x bx

What are possible values a and b. Justify your answer.

33. Given the function ( )1

= 3

x

f x

and ( ) + 1 = xg x k−, when x = 2. What is the value

of k that will make f(x) = g(x).

34. Given the equation

2

3 =

5

abW

c rewrite the equation in terms of a.

35. Select the graph of ( ) ( )( )( ) = + 3 2 4f x x x x− − .

[A] [B]

[C] [D]

36. The table shows the distance in miles, m, hiked from a camp in h hours.

Which hourly interval had the greatest rate of change?

[A] hour 0 to hour 1 [B] hour 2 to hour 3 [C] hour 1 to hour 2

[D] hour 3 to hour 4 [E] hour 4 to hour 5

37. Given the equation

153

2 =

c

aa

a, find the value of c.

Hours (h) Miles(m)

0 0

1 2

2 3.5

3 4.5

4 5

5 7.5

38. The function ( ) 2 = 16 + 80h t t t− models the height of an object, in feet, after t

seconds. If the domain of the function is represented by time the object is launched

in the air until it touches the ground. What values are in the domain.

39. What is the positive solution to the equation : 23 15 42 = 0.x x− −

40. Solve : 1 – 2(5x – 3) = 11 – 3(x + 2) – 6x