Function *f* is defined as .
**What is f(-2)?**

10

-14

30

14

f(-2)= 3(4) + 10 + 8

f(-2)= 30

**Express 856,000,000,000 using scientific notation.**

A store manager would like to set the three-digit code of the store's new safety vault.
**How many possible 3-digit code choices does he have if he can pick digits from 0 to 9 with repetition allowed?**

1,000

10,000

720

100

*Combination*refers to problems where the order of things (or digits in this case)

*is not*important.

*Permutation*refers to problems where the order or position of things

*is*important. Simply use the formula for permutations when repetition is allowed:

P is the number of permutations possible, n is the number of things to choose from and r is the number of things we choose.

**Factor the expression completely.**

. The question requires complete factoring and we see that

can still be factored to (x-3)(x+3) Therefore, the correct answer is .

**A pair of shoes is sold at a discounted price of $39.49 from its original price of $54.99. Solve for the percent of decrease.**

28%

25%

45%

30%

change in amount =

The negative sign merely indicates that there was a decrease in price or value.

You may disregard the sign since the question already implies that there was a decrease in price.

Two rectangles are in proportion. The bigger rectangle has a base of 8 inches and height of 3 inches.
**If the smaller rectangle has a base of 5 inches, what is its height?**

1

1

1

2

The fractions can be written in the form, .

Following this form for the bigger rectangle, the fraction is . For the smaller rectangle, the fraction is , where h is the unknown height. Then set the two fractions equal to each other and solve for h. Cross multiply to get: 3 \u00D7 5 = 8h 15 = 8h And remove the 8 by dividing both sides by 8. Simplify the fraction and you have

**Find the roots of this polynomial: = 0**

x = -1 or 8

x = -1 or -8

x = 1 or -8

x = 1 or 8

**Identify the values of x that will make this rational expression undefined: **

x = -3 or 5

x = 3 or -5

x = 3 or 5

x = -3 or -5

**Solve the following quadratic equation:**

In the given equation, the second power in makes the equation quadratic. The first step is to factor the expression completely. With that, we get (4x+3)(2x-2) = 0 Next, we equate each factor to zero and solve for the values of x (4x+3) = 0 4x=-3 and (2x-2) = 0 2x =2 x=1 Therefore,

**What is your weighted average in math if assignments count 30%, quizzes 25% and final exams 45%**?

Your score for assignments is 85, quizzes 72, and final exams 61.

81

70

71

80

Carrie sold 112 boxes of cookies, Megan sold 126 boxes of cookies, Julie sold 202 boxes of cookies, and Ashton sold 176 boxes of cookies.
**What was the average number of boxes of cookies sold by each individual?**

154

125

136

162

A book writing conference of 800 individuals had a 3 to 1 ratio of women to men.
**How many men attended the book writing conference?**

200 men

150 men

220 men

260 men

**Which option shows twelve hundredths in decimal form?**

0.012

0.12

0.0012

0.00012

**If Don weighs 250 pounds, what would be his approximate weight in kilograms?**

500 kg

300 kg

425 kg

125 kg

|10 - x| = 4
**Which of the following options is the correct solution set for the above equation?**

{6, 14}

{-6, 14}

{-14, 6}

{-14, -6}

Thus, the equation |10 - x| = 4 has two solutions: x = 6, |10 - 6| = 4;

and x = 14, |10 - 14| =|- 4| =4.

**Convert 0.03245 to a percentage.**

32.45%

0.325%

3.245%

324.5%

**Which of the following is equal to the square root of 81?**

8.1

0.8101

0.9

9

In January, typical Fairbanks, Alaska temperatures are −2 degrees Fahrenheit during the day and −19 degrees Fahrenheit during the night.
**What is the temperature change from daytime to nighttime?**

**What is 2.35 * 0.15 equal to?**

0.3525

3.525

0.03525

35.25

**Find a number that when divided by 3.2, the answer is 0.832.**

3.8461

0.26624

0.26

2.6624

Every 5 minutes, someone is diagnosed with lung cancer.
**How many people are diagnosed with lung cancer in 1,440 minutes?**

1,440 people

720 people

100 people

288 people

**Solve: 1.8 × 4.56**

8.208

9.403

82.08

9.208

**Ruth is five years older than Tom. Two years from now, Tom will be 5 years old. Find the sum of their ages three years from now.**

21 years old

15 years old

17 years old

16 years old

**Solve for n:**

45 × 7 = n

285

135

825

315

Caitlyn was grading her students' exams. She had seven students who scored a 93, nine students who scored a 96, and three students who scored a 70.
**What was the average exam score in Caitlyn's class?**

92.33

86.33

90.79

74.78

|x – 3| = 6
**Which of the following options is the correct solution set for the above equation?**

{3, 9}

{-9, 3}

{-3, 3}

{-3, 9}

**Estimate Martha's height in centimeters if she is 5' 7" tall.**

67 cm

150 cm

201 cm

170 cm