**Multiple Choice:*** Type your answer choice in the blank.*

**_____1.**

Simplify.

A.

B.

C.

D.

**_____2.**

Find a quadratic function to model the values in the table. Predict the value of *y* for *x* = 6.

**X**

**y**

1

2

0

-2

3

10

A. y = -2×2 + 2x -2; –58

B. y = 2×2 – 2x -2; 60

C. y = 2×2 – 2x -2; 58

D. y = -2×2 + 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?

A. 1

B. 10

C. 5

D. 60

**_____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”.**

A.

B.

C.

D.

**_____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).

A. 32

B. 48

C. -48

D. 30

**_____14.**

Find a quadratic model for the set of values.

(–2, –20), (0, –4), (4, –20)

A. y = 4×2 + 4x + 2

B. y = 2×2 – 4x + 4

C. y = 4×2 – 2x – 4

D. y = -2×2 + 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.

Can’t see the answer so I can answer it

A.

B.

C.

D.

**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.