TEAS® Math Flashcards

3*(x − 4) = 18

Answer: x = 10

To solve the equation 3*(x − 4) = 18, first divide both sides by 3, which gives x − 4 = 6. Then, add 4 to both sides of the equation to isolate x. This results in x = 10.

The above is known as what type of graph?

Answer: Scatterplot

A scatterplot is a type of graph that displays individual data points on a two-dimensional plane. Each point represents the values of two different variables, and the pattern of these points helps to visualize the relationship or correlation between the variables. Without the actual image, it is assumed the graph presented visually matches the characteristics of a scatterplot.

(5x − 1) (3x + 2)

Answer: 15x2 + 7x − 2

To multiply (5x − 1) by (3x + 2), use the FOIL method (First, Outer, Inner, Last). Multiply the First terms (5x * 3x = 15x²), then the Outer terms (5x * 2 = 10x), then the Inner terms (-1 * 3x = -3x), and finally the Last terms (-1 * 2 = -2). Combine the like terms (10x - 3x = 7x) to get the final expression: 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?

Answer: 2

First, calculate Timmy's total: he was interrupted once every hour for 3 hours, meaning he made 4 airplanes/hour * 3 hours = 12 airplanes. Next, calculate John's total: he worked for 2 hours (3-hour contest minus 1-hour break) at 7 airplanes/hour, making 2 hours * 7 airplanes/hour = 14 airplanes. John made 14 airplanes and Timmy made 12, so John made 14 - 12 = 2 more airplanes.

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

Answer: 648

First, determine the car's speed by dividing the distance traveled by the time taken: 360 kilometers / 5 hours = 72 kilometers per hour. Then, to find out how far the car will travel in 9 hours, multiply its speed by the new time: 72 km/hour * 9 hours = 648 kilometers.

What degrees Fahrenheit is it at 30 degrees Celsius?

Answer: 86

To convert Celsius to Fahrenheit, use the formula F = (C * 9/5) + 32. Substitute 30 for C: F = (30 * 9/5) + 32. This simplifies to F = (6 * 9) + 32, which is F = 54 + 32. Therefore, 30 degrees Celsius is 86 degrees Fahrenheit.

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?

Answer: 250

First, calculate the proportion of faulty toys in the sample: 5 faulty toys / 300 total toys = 1/60. Then, apply this proportion to the total production of 15,000 toys. (1/60) * 15,000 = 250. Therefore, it is likely that 250 of the 15,000 toys are faulty.

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?

Answer: $12.05

First, calculate the total cost of the three comics: 3 comics * $2.65/comic = $7.95. Then, subtract the total cost from the amount Robert paid: $20.00 - $7.95 = $12.05. Robert should receive $12.05 in change.

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

Answer: $700

To calculate the simple interest earned in one year, multiply the principal amount by the annual interest rate. In this case, $10,000 multiplied by 7% (or 0.07) equals $700. So, you would get $700 in interest after one year.

How many pounds are there in four tons of gravel?

Answer: 8000

There are 2000 pounds in one ton. To find out how many pounds are in four tons, multiply the number of tons by the conversion factor. So, 4 tons * 2000 pounds/ton = 8000 pounds.

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

Answer: 15%

First, calculate the amount of the price increase: $3.68 - $3.20 = $0.48. Next, divide the increase by the original price to find the decimal increase: $0.48 / $3.20 = 0.15. Finally, multiply by 100 to express it as a percentage: 0.15 * 100% = 15%. The price increased by 15%.

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

Answer: $6

First, determine the cost per apple by dividing the total cost by the number of apples: $2 / 5 apples = $0.40 per apple. Then, multiply the cost per apple by the desired quantity of 15 apples: $0.40/apple * 15 apples = $6. Alternatively, since 15 apples is three times 5 apples, the cost will be three times $2, which is $6.

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

Answer: 8

This is an inverse proportion problem. The total amount of work required is constant, measured in 'person-days.' If 4 people can do the work in 2 days, the total work is 4 people * 2 days = 8 person-days. To complete the same amount of work in just one day, you would need 8 person-days / 1 day = 8 workers.

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

Answer: 31 1/2 hours

First, calculate the time from 7:45 AM today to 7:45 AM tomorrow, which is exactly 24 hours. Then, calculate the additional time from 7:45 AM tomorrow to 3:15 PM tomorrow. From 7:45 AM to 12:45 PM is 5 hours, and from 12:45 PM to 3:15 PM is 2 hours and 30 minutes. Adding these together: 24 hours + 5 hours + 2 hours 30 minutes = 31 hours 30 minutes, or 31 1/2 hours.

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

Answer: 18

To find out how many gallons are in the tank when it is three-fifths full, multiply the total capacity by the fraction. The total capacity is 30 gallons. So, (3/5) * 30 gallons = (3 * 30) / 5 = 90 / 5 = 18 gallons. The tank has 18 gallons when it is three-fifths full.

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

Answer: 5 hours

To calculate the time it will take, use the formula Time = Distance / Speed. The distance is 250 miles and the speed is 50 mph. Dividing 250 miles by 50 mph gives 5 hours. Therefore, it will take 5 hours to travel to the town.

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

Answer: $3.35

To find out how much change Mae should receive, subtract the cost of the scarf from the amount she paid. Mae paid $20.00 and the scarf cost $16.65. Subtracting $16.65 from $20.00 yields $3.35. So, Mae should receive $3.35 in change.

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

Answer: $0.45

To find the cost per drink can, divide the total cost of the 12-pack by the number of cans. Tom spent $5.40 for 12 cans. So, $5.40 / 12 cans = $0.45 per can. Each drink can cost $0.45.

The outcome of dividing 40 by.08 is

Answer: 500

To divide 40 by 0.08, first eliminate the decimal in the divisor by multiplying both the divisor and the dividend by 100. This transforms the problem into 4000 divided by 8. Performing this division, 4000 ÷ 8 equals 500. Therefore, the outcome of dividing 40 by 0.08 is 500.

What is the value of 4 cubed?

Answer: 64

The term 'cubed' means to multiply a number by itself three times. So, 4 cubed is calculated as 4 × 4 × 4. First, 4 × 4 equals 16. Then, multiplying 16 by 4 gives 64. Thus, the value of 4 cubed is 64.