**What is the least common multiple of the numbers 9, 12 and 16?**

36

108

144

96

The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, ...

The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, ...

The least common multiple of 9, 12 and 16 is 144. TIP: For a multiple choice test, you might just check which of the answers are multiples of the three numbers. 96 is not divisible by 9, 36 is not divisible by 16, and 108 is not divisible by 16. 144 is the

*only*common multiple in the answer choices.

**What is** ?

-17

17

-7

7

*inside*the absolute value symbols must be positive, when you remove the symbols, you are left with 7, but remember the negative sign that preceded it. This makes the answer -7.

**Simplify the following exponential expression:**

m + 1

1

. Going back to the original expression and plugging the simplified numerator and denominator, we have:

**Simplify**:

**Which formula describes the temperature (T) of a room at 72 degrees beginning to cool at 3 degrees per hour (h)?**

T = 72 - 3 h

T = -3 (h - 72)

T = 3 (72 - h)

John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares.
**How much did he get for the last 50?**

$5500

$5050

$4900

$4950

Then, the price decreased by $11 (10% of $110) so that the sale price was $110-$11 = $99 per share, and the sale price for 50 shares was 99 x $50 = $4950.

A long distance runner does a first lap around a track in exactly 50 seconds. As she tires, each subsequent lap takes 20% longer than the previous one.
**How long does she take to run 3 laps?**

150 seconds

72 seconds

160 seconds

182 seconds

A number N is multiplied by 3. The result is the same as when N is divided by 3.
**What is the value of N?**

3

-1

-3

A rectangle’s length is 3 feet longer than twice its width. The area of the rectangle is 44 .
**The rectangle’s length is how many feet?**

11

4

5.5

7

LW = A

(2W + 3) W = 44

(2W +11)(W – 4) = 0

W = −5.5 (reject) W = 4

2W + 3 = 8+ 3 = 11

The sides of a triangle are equal to integral numbers of units.
**Two sides are 4 and 6 units long, respectively; what is the minimum value for the triangle's perimeter?**

9 units

11 units

13 units

12 units

**Which of the following options is equivalent to 1 centimeter?**

1,000 millimeters

0.01 meters

0.1 millimeters

0.001 meters

**In the division problem below, what is the number 14 called**?

308 ÷ 14 = 22

Dividend

Quotient

Remainder

Divisor

A tank has a capacity of 25 cubic meters.
**Given that one thousand liters is equivalent to one cubic meter, what is the quantity of water in the tank in liters if the tank is half full?**

16,667 liters

6,000 liters

25,000 liters

12,500 liters

**Convert 0.04 into a percentage.**

40%

0.4%

0.04%

4%

**If Max scored an average of 89 on his first six tests, what is the minimum he must score on his seventh test in order to have an overall average of 90?**

90

93

95

96

Alisha purchased a new vehicle for $32,500, and she was responsible for paying the $2,112.50 sales tax at the title office.
**What is the percentage of sales tax that Alisha had to pay on her new vehicle?**

6.50%

5%

7%

7.50%

In his will, Mr. Lincoln left 40% of his estate to his wife and unevenly divided the balance between his two sons.
**If the younger son received $24,000 as his share, what was the total value of the estate?**

Not enough information is given

$72,000

$48,000

$24,000

A company purchased $60 football league tickets for each of its 122 employees, as well as one guest per employee.
**What did it cost the company to provide all of these tickets?**

$17,320

$14,640

$13,640

$12,800

Jonathan mowed around the perimeter of the football field. The field was 360 feet long by 150 feet wide.
**If Jonathan mowed two laps around the field, how many feet did he mow?**

2,040 feet

1,720 feet

3,040 feet

1,020 feet