# TSI Math Practice Test

^{9}⁄_{18} is equivalent to which fraction?

When the numerator and denominator of a fraction are divided or multiplied by the same number, the product is an equivalent fraction. In this case, the numerator and denominator of 9/18 can be divided by nine, giving 1/9.

#### 2 ^{3}⁄_{4} + 12 ^{6}⁄_{8} =

2 ^{3}⁄_{4} + 12 ^{6}⁄_{8} =
First, ensure both fractions have a common denominator:
2 ^{6}⁄_{8} + 12 ^{6}⁄_{8} = 14 ^{12}⁄_{8}
^{12}⁄_{8} is greater than one, so express it as a whole number and a fraction: 1 ^{4}⁄_{8}
Add this value to 14.
14 + 1 ^{4}⁄_{8}
15 ^{4}⁄_{8}
Reduce ^{4}⁄_{8} by dividing the numerator and denominator by 4.
15 ^{1}⁄_{2}

#### 789 - 32 =

789 - 32 = 757

#### 56 × 96 is closest to which value?

56 × 96 = 5376 This value is closest to 5400.

#### 456 / 23 =

456 ÷ 23 = 19.826 Rounding up, we get 19.83

^{6}⁄_{12} + ^{6}⁄_{24} + ^{1}⁄_{4} =

^{6}⁄_{12} + ^{6}⁄_{24} + ^{1}⁄_{4}
The common denominator is 24.
^{12}⁄_{24} + ^{6}⁄_{24} + ^{6}⁄_{24} = ^{24}⁄_{24} = 1

#### Which value is closest to 85% of 25?

First, calculate 85% of 25. 25 x 0.85 = 21.25 This value is closest to 22

#### 0.98 / 0.54 =

0.98 / 0.54 = 1.81

#### 1.45 × 0.99 =

1.45 × .99 = 1.4355 Rounding up, we get 1.44

#### 1 meter = 100 centimeters in the metric system, and 1 meter: 1 foot = 3.25:1. In 21 feet. How many meters are there?

3.25 feet = 1 meter

1 foot = 1÷3.25 meters

21 feet = 21×1÷3.25 = 6.4615 meters

#### Sort the following four fractions from smallest to largest: 1/4, 2/3, 4/7, 1/2

If 1/4, 2/3, 4/7, 1/2 are converted to decimals we get 0.25, 0.6666...., 0.571....., 0.5 then the correct order is obvious

or

If 1/4, 2/3, 4/7, and 1/2 are converted to fractions with a common denominator 21/84, 56/84, 48/84, 42/84 then the correct order is obvious.

#### On a rectangular plot of land, a farmer has 1235 trees to plant. How many trees will be left behind after planting if each row has 24 trees planted in it and each row must be completed before it is planted?

Divide the number of trees to be planted from the number of trees in each row

1235 ÷ 24 = 51 r 11

The remaining equals the number of trees that have been left over 11

The correct response: 11

#### What is the x value that causes y to equal 15 - 3x and y to equal 0?

y =15 - 3x and y = 0

Hence 15 - 3x = 0

Plug 5 in for x.

15 - 3(5) = 0

x=5

#### What is the distance between -3/7 and -2/3 on a number line?

Absolute values (|a| or abs(a)) can be used to find the distance between two numbers.

abs(-3/7 -2/3) is the distance between these two values.

= abs(-(3/7 -2/3))

= abs(3/7 -2/3)

= abs(9/21 - 14/21)

= abs(-5/21 )

=5/21

#### One-third of the job applicants were under the age of 25. Two-sevenths of the candidates were above the age of 50. How many of the 84 people that applied for the job were between the ages of 25 and 50?

One third of 84 is 84 × 1/3 = 84÷3 = 28. 28 people 25 years old or younger applied for the job. Two seventh of 84 is 84 × 2/7= 2×84÷7 = 24. 24 people who were at least 50 years old applied for the job. 84 - 28 - 24 = 32. 32 people applied for the job who were between 25 and 50.

#### The formula h -15 = 3.2t calculates a plant's height h in inches t weeks after planting.

When did the height of 31 inches occur?

After t weeks, h =15 + 3.2t gives the height of a shrub in inches. When a person's height is 31 inches, the answer is 31 = 15 + 3.2t.

16 = 3.2t

t = 163.2 t = 163.2 t = 163.2 t = 16

t = five

After 5 weeks, the height is 31 inches.