# TSI Math Practice Test 2

#### 2.45 + 0.54 + 0.07 =

Explanation:

2.45 + 0.54 + 0.07 = 3.06

#### Which of the following represents the smallest value?

Explanation:

Numbers that are farther to the right of the decimal point are smaller. Since all of the numbers have three zeros in front of them (that is, they are in the ten-thousandths place), look at the first number that is not a zero. The smallest number will represent the smallest value. Since the first number in this choice is 7, the lowest number, this represents the lowest value.

#### 5.36 - 0.78 =

Explanation:

5.36 - 0.78 = 4.58

#### Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls would Janet produce each month?

Explanation:

First, calculate 18% of 23.

23 × 0.18 = 4.14

Then, add this value (the increase) to the original value of 23.

23 + 4.14 = 27.14

Rounding off, we get 27.

#### Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?

Explanation:

First, calculate 6% of 3.9.

3.9 × 0.06 = 0.234

Then, subtract this value (the decrease) from the original value of 3.9.

3.9 - 0.234 = 3.666 meters

Rounding off, we get 3.7 meters

#### A rectangle's width is 23 cm and its length is 9cm. What is its area?

Explanation:

The formula for the area of a rectangle is length × width.

Therefore, A = l × w

A = 9cm × 23cm

A = 207cm^{2}

#### Sam's new porch is 50 square feet in size and rectangular. What is the perimeter of the porch if the length of the porch is two times the width?

Explanation:

The area of a rectangle is calculated using the following formula:

A=Width⋅Length

We know that L=2W and A=50 from the question. As a result, we can insert these numbers into our equation and find W:

50=W⋅L

50=W⋅2W

50=2W^{2}

W2=25

W=5

We know that L=2W, so L=10

Perimeter =2L+2W

Perimeter =2⋅10+2⋅5

Perimeter =30

#### Solve for x as follows:

3(x+1) = 5(x−2)+7

Explanation:

The equation can be simplified as follows:

3(x+1) = 5(x−2)+7

3x+3=5x−10+7

3x+3=5x−3

We can add 3 to both sides to get the following:

3x+6=5x

We may solve for x by subtracting 3x from both sides and then dividing the resulting equation by 2:

6 = 2x

3 = x

#### What is the chance of choosing a man from a group of four males and eight females?

Explanation:

To calculate the likelihood of choosing a guy, divide the total number of males by the total number of people:

P(Male)= ^{Number of Males}⁄_{Total Number of People }

P(Male) = ^{4}⁄_{12}

P(Male) = ^{1}⁄_{3}