# TEAS Math Practice Test #1

#### 5,344 − 57

Remember that calculators are not permitted on the TEAS math test, so make sure you are able to subtract large numbers without using a calculator. (subtraction by regrouping)

#### 3*(x − 4) = 18

First divide both sides by 3: 3(x − 4) = 18 x − 4 = 18/3 x − 4 = 6 Then solve for x: x − 4 = 6 x = 6 + 4 x = 10

#### The above is known as what type of graph?

The above graph is known as a scatterplot, which is a plot of points on x and y axes. In this case, each point would have an x value equal to the temperature in degrees Celsius, and a y value equal to the amount of money in dollars.

#### (5x − 1) (3x + 2)

The “FOIL method” is the easiest way to remember how to multiply two-termed expressions. Multiply the First two terms, then the Outer two terms, then the Inner two terms, and then the Last two terms, then sum all four to arrive at the answer: 15x2 + 10x − 3x − 2 = 15x2 + 7x − 2

#### Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents, he can only make four per hour. His friend John can make seven paper airplanes per hour. One day, Timmy and John decide to have a three-hour long contest to see who can make the most paper airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and do chores for an hour. How many more paper airplanes does the winner make?

Because Timmy is interrupted during each hour, he can only make four paper airplanes per hour, multiplied by 3 hours, for a total of 12 airplanes. John makes seven paper airplanes during the two hours he works without chores, for a total of 14 airplanes. 14 airplanes minus 12 airplanes equals 2.

#### If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?

Given that it took 5 hours to travel 360km, we can set up a ratio equation to figure out how far the car will travel in 9 hours. 360/5 = x/9 72 = x/9 72*9 = x x = 648

#### What degrees Fahrenheit is it at 30 degrees Celsius?

Plug in °C = 30 into the given formula and solve for °F: °F = (°C * 9/5) + 32 °F = (30 * 9/5) + 32 °F = 54 + 32 °F = 86

#### A toy manufacturer makes 15,000 toys a year. The company randomly selects 300 of the toys to sample for inspection. The company discovers that there are 5 faulty toys in the sample. Based on the sample, how many of the 15,000 total toys are likely to be faulty?

The sample indicates that 5 out of every 300 randomly selected toys will be faulty. Consequently, a proportion can be set up that relates the unknown number of faulty toys in the total number of toys to the ratio of faulty toys to the sample. Stated otherwise: T is the unknown number of faulty toys in the total. Multiply both sides by 15,000 and then divide the left hand side by 300 to solve for T:

#### At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?

Three comics at $2.65 would equal a total of $7.95. The change would equal $20 − $7.95 = $12.05.

#### How much interest would you get after a year if you invest $10,000 at a 7% annual rate?

Interest is calculated as follows: $10,000 x 0.07 rate equals $700.

#### How many pounds are there in four tons of gravel?

A ton weighs 2,000 pounds. 4 tons hence equal 8,000 pounds.

#### What percentage did the price of a gallon of gas increase from $3.20 to $3.68?

By taking the second figure and subtracting it from the original/first number (3.68-3.2=0.48) and dividing the result by the original number (0.48/3.20=0.15=15%), you can determine the percentage increase.

#### What does 15 apples cost if 5 apples cost $2?

Since 15 apples are three times as many as 5, their price is 3x$2 = $6.

#### How many workers would be needed to stain a deck in just one day if 4 people can do it in 2 days?

If 4 individuals are needed for 2 days, 8 people are needed for 1 day.

#### How much time passes between this morning at 7:45 and tomorrow at 3:15?

There are 24 hours between 7:45 am today and 7:45 am tomorrow. Tomorrow from 7:45 am to 3:15 pm is a span of 7 and a half hours. 31 1/2 hours total

#### How many gallons does a petrol tank have when it is three-fifths full if it can store 30 gallons?

30 gallons multiplied by 3/5 equals 18.

#### How long will it take you to travel 250 miles at a speed of 50 mph to get to the town?

250 miles / (50 mph per hour) equals five hours.

#### Mae spent $16.65 on a scarf. She handed $20 to the clerk. How much cash should she receive in return?

$20 – $16.65 = $3.35

#### Tom spent $5.40 on a 12-pack of soda. How much did he spend on each drink can?

$5.40/12 = $0.45

#### The outcome of dividing 40 by.08 is

40 divided by.08 is 500

#### What is the value of 4 cubed?

4 cubed equals 64 (4 x 4 x 4).

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