# TEAS Math Practice Test 2

#### Simplify the expression above. Which of the following is correct?

7¼ can be expressed as 29/4. 29/4 x 1/18 = 29/(4 x 18) = 29/72.

#### Express 5/8 as its closest rounded percentage.

5 ÷ 8 = 0.625, which equals 62.5%. Rounding up gives us 63%.

#### Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Amanda need to buy in order to fully paint the room?

First, we must calculate the area of the walls Amanda wants to paint. Two of the walls are 10 x 10 and two of the walls are 10 x 15: 2 (10 x 10) = 200 2 (10 x 15) = 300 So the total square footage of the walls is 500. If a half gallon of paint will cover 55 square feet, then each gallon will cover 110 square feet. Four gallons would only cover 440 square feet. Five gallons will cover 550 square feet, which will be enough for all 500 square feet of walls.

#### How many millimeters are there in 5 meters?

The prefix “milli-” means 1,000. There are 1,000 millimeters in 1 meter, so there are 5,000 millimeters in 5 meters.

#### Kyra has a budget of $300 for her holiday spending. Kyra decides to buy shoes for her grandchildren. If each pair of shoes costs $40, and Kyra has n grandchildren, which of the following inequalities represents Kyra’s budget constraint?

If Kyra buys n pairs of shoes at a cost of $40 each, she pays $40n. Since she only has $300 to spend, $40n must be less than or equal to $300:

#### 2 − 8 ÷ (2^{4} ÷ 2) =

Remember your order of operations: Complete operations within parentheses first. Calculate exponents. Then multiply and divide in order from left to right. Then add and subtract in order from left to right. 2 − 8 ÷ (24 ÷ 2) = 2 − 8 ÷ (16 ÷ 2) = 2 − 8 ÷ 8 = 2 − 1 = 1

#### Which type of graph would best indicate the percentage of a school’s annual scholarship fund spent on freshman students?

A pie chart represents percentages of a total, and would thus be the best graphic representation of a budget breakdown.

#### −1/4, π, 3/8, −0.2 Order the above list of numbers from least to greatest.

The smallest number is the greatest negative value: −1/4 (−0.25). The next smallest is −0.2 (−1/5). The largest value is π, or approximately 3.14.

#### (7*y*^{2} + 3*xy* − 9) − (2*y*^{2} + 3*xy* − 5)

When subtracting polynomials the first step is to distribute the negative sign through the parentheses. This changes the sign on each term inside the parentheses:

#### (x+4)(x+4) =

Use the First, Outside, Inside, Last (FOIL) approach to solve. x² +4x +4x + 4*4

#### The following equation to be solved: y3 x y4 =

Keeping the base and adding the exponents is how you multiply two powers with the same base.

#### There are 4 Tootsie Rolls, 3 Lollipops, 5 Hershey Kisses, and 6 Starbursts in a bag of sweets. What is the likelihood that the sweet you randomly choose will be a lollipop?

Three lollipops are included with the total of 18 candy pieces. As a result, the likelihood of selecting one lollipops is 3/18, which may be expressed as 1/6.

#### If you have four shirts and five ties, how many different ways can you arrange them?

There are a total of 4 x 5 = 20 possible combinations using the 4 shirts and one of the 5 ties.

#### I have Z $ to spend on a woman. How much money does she have left over after spending $500?

You must deduct the sum she originally had ($1,000) from the sum she spent ($500). (Z).

#### What percentage of a staff is present in the workplace if 1/3 of employees are on vacation and 1/4 of those who aren't are absent due to illness?

2/3 are not on vacation if 1/3 are. 3/4 of the 2/3 who aren't on vacation are healthy. As a result, 2/3 x 3/4 are present at work (not absent due to illness or vacation) = (2/3)/(3/4)=6/12=1/2.

#### When 0.05z = 1, z equals.

Add 0.05 to both sides. As a result, z=1/0.05=20.

#### The volume of a cube is 64 cubic feet. What is the cube's surface area?

The sides of a cube are all the same length (s). A cube has a volume of s x s x s. Thus, s in this instance equals 4 (4x4x4=64). Six squares, each with an area of s x s, make up a cube. As a result, a cube's surface area is 6 x s x s = 6 x 4 x 4 = 96.

#### A brick stack is 3 1/2 feet tall. What is the number of bricks in the stack if each brick is 1 3/4 inches high?

42 inches = 3 1/2 feet x 12 inches per foot. 24 bricks equal 42 inches by 1.75 inches.

#### A book typically costs $28. How much is the sales price of the book if it is "20% off"?

20% of $28 = 28×0.2=$5.60. The purchase price is then $28-$5.6, or $22.40.

#### According to a map's scale, 1 inch corresponds to 60 miles. How many miles are there between two places on a map if the space between them is 2 1/2 inches?

2 1/2 x 60 = 150

#### A car's fuel tank holds 15 gallons. How much gas will be left in the tank if a car goes 384 miles at 32 miles per gallon?

384 miles/32 gallons is 12 gallons for the vehicle. Consequently, the tank will still contain 3 gallons (15 gallons – 3 gallons)

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