| _____1. |
Simplify.
|
| _____2. |
Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
| A. y = -2x2 + 2x -2; –58 |
|
| B. y = 2x2 – 2x -2; 60 |
|
| C. y = 2x2 – 2x -2; 58 |
|
| D. y = -2x2 + 2x +2; –58 |
|
|
|
| ______3. |
A manufacturer of shipping boxes has a box shaped like a cube. The side length is 5a + 4b. What is the volume of the box in terms of a and b?
|
| _____4. |
In how many ways can 3 singers be selected from 5 who came to an audition?
|
| _____5. |
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100.
Short Answer: Type your answer in the space below each question. Show your work when applicable. |
| 6. |
The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree.
|
| 7. |
The volume in cubic feet of a box can be expressed as , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x.
Factor the polynomial to find linear expressions for the height and the width.
|
| 8. |
This table shows data on heating oil use for two years in three adjacent buildings on Spring Street.
| Heating Oil Use |
| Number of Gallons Used |
| Address |
2002 |
2003 |
| 152 Spring St. |
1215 |
1093 |
| 154 Spring St. |
982 |
975 |
| 156 Spring St. |
1562 |
1437 |
| a. |
Write a matrix H to represent the data.
|
| b. |
Find element . What does this element represent? |
|
| 9.
|
Solve the equation. Check for extraneous solutions. Type your answers in the blanks.
x = ______ or ______
Multiple Choice: Type your answer choice in the blank. |
| _____10.
|
Assign each letter and a blank space to a number as shown by the alphabet table below:
| 0 = _
1 = A
2 = B
3 = C
4 = D
5 = E
6 = F
7 = G
8 = H |
9 = I
10 = J
11 = K
12 = L
13 = M
14 = N
15 = O
16 = P
17 = Q |
18 = R
19 = S
20 = T
21 = U
22 = V
23 = W
24 = X
25 = Y
26 = Z |
Use to encode the phrase “FIT AS A FIDDLE”.
|
| _____11. |
A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.
| A. amber $10.00, quartz $1.50 |
|
| B. amber $9.75, quartz $1.25 |
|
| C. amber $10.25, quartz $1.75 |
|
| D. amber $1.50, quartz $10.00 |
|
|
|
| 12. |
In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.
| Time (hours) |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| Population (1000s) |
5.1 |
3.03 |
1.72 |
1.17 |
1.38 |
2.35 |
4.08 |
| a. |
Find a quadratic model for the data in the table. Type your answer below.
|
| b. |
Use the model to estimate the population of bacteria at 9 hours. Type your answer below. |
|
|
|
Multiple Choice: Type your answer choice in the blank. |
| _____13. |
Evaluate the expression for the given value of the variable(s).
|
| _____14. |
Find a quadratic model for the set of values.
(–2, –20), (0, –4), (4, –20)
| A. y = 4x2 + 4x + 2 |
|
| B. y = 2x2 – 4x + 4 |
|
| C. y = 4x2 – 2x – 4 |
|
| D. y = -2x2 + 4x – 4 |
|
|
|
| 15. |
Simplify the expression. Type your answer in the blank.
–
|
| 16. |
Suppose you cut a small square from a square of fabric as shown in the diagram. Write an expression for the remaining shaded area. Factor the expression. Type your answer below.
Multiple Choice: Type your answer choice in the blank. |
| _____17. |
Solve for x. State any restrictions on the variables.
|
| 18. |
Is the relation {(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)} a function? Explain. Type your answer below.
|
| 19. |
Verify that the matrix has no inverse. Type your answer below.
|
| 20. |
Three friends recorded the amount of time each spent exercising and sleeping over the course of a week.
| |
Sleep (hours) |
Exercise (hours) |
| Maria |
56 |
7 |
| Validamir |
60 |
5 |
| Lee |
63 |
10 |
| a. |
Put the information into two matrices. Label each matrix.
|
| b. |
Find the difference between total hours sleeping and exercising for each person. |
|
