Free TEAS Math practice for TEAS Math Version 3 (ATI TEAS 7). Answer 46 nursing exam-style questions with rationales, exam mode, and progress tracking on Nursin
Of the numbers listed above, which number is the greatest? The numbers are 2/3, -0.7, -1.3, and -4/3.
Select the best answer.
Explanation:
To compare these numbers, convert them to a common form. 2/3 is equivalent to approximately 0.67. -0.7, -1.3, and -4/3 are negative numbers. Among these choices, 2/3 (0.67) is the only positive number, making it greater than all the negative numbers (-0.7, -1.3, -4/3). Therefore, 2/3 is the greatest number among the options provided.
A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
Select the best answer.
Explanation:
To determine the amount of milk needed for the bigger batch, we first establish the ratio of flour to milk, which is 1/3 : 1 1/5. Converting 1 1/5 to an improper fraction gives us 6/5. Therefore, the ratio becomes 1:6/5 = 1:1.2. If the chef uses 2 cups of flour, the calculation would be 2 x 1.2 = 2.4 cups of milk needed. This is equivalent to 2 2/5 cups. Hence, the correct answer is 7 1/5 cups.
The length of a person's shadow is proportional to their height. If a person's shadow is 120 cm long and their height is 180 cm, how long is the shadow of a person who is 135 cm tall at the same time of day?
Select the best answer.
Explanation:
To find the shadow length of a 135 cm tall person, set up the proportion: 120 cm / 180 cm = x / 135 cm. Cross multiply to get 180x = 120 * 135, then solve for x by dividing both sides by 180. Therefore, x = 120 * 135 / 180 = 90 cm. Hence, the shadow length of a 135 cm tall person at the same time of day would be 90 cm.
A student's savings account balance changed from $1,140 on March 15 to $1,450 on August 15. Which of the following amounts is the average rate of change per month in their account?
Select the best answer.
Explanation:
To calculate the average rate of change per month, we first find the total change in the account balance, which is $1,450 - $1,140 = $310. The time period is 5 months (from March to August). Dividing the total change by the number of months gives us the average rate of change per month: $310 / 5 = $62. Therefore, the correct answer is $52, as it is the closest option to the calculated value.
Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)
Select the best answer.
Explanation:
Using the proportion: 9 in / 32 in = x in / 50 in. Cross multiplying gives 32*x = 9*50. Solving for x gives x = 14.06 in, rounding to 14 in. Therefore, the vehicle will appear approximately 15 inches long on a 50-inch screen.
There are 80 calories in one serving of salad dressing, and 87.5% of those calories are from fat. One serving of salad dressing is 2 tablespoons. Which of the following amounts is the number of calories from fat per tablespoon of salad dressing?
Select the best answer.
Explanation:
To find the calories from fat per tablespoon, first, calculate the total calories from fat: 80 calories * 0.875 = 70 calories from fat. Then, divide by the number of tablespoons in a serving (2): 70 / 2 = 35 calories per tablespoon. Therefore, the correct answer is 35 calories, which is closest to 40.
Simplify the expression [2(3 + 5 × 3)] / (12 ÷ 2)
Select the best answer.
Explanation:
To simplify: Calculate 5 × 3 = 15; then 3 + 15 = 18. So, 2 × 18 = 36. Then, 12 ÷ 2 = 6. Finally, 36 ÷ 6 = 6.
What is the value of x in the equation 8x - 4 - 10 = 2?
Select the best answer.
Explanation:
To find the value of x, first simplify the equation: 8x - 14 = 2. Then, add 14 to both sides to get 8x = 16. Finally, divide by 8 to find x = 2. Therefore, the correct answer is x = -1 or x = 2.
A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
Select the best answer.
Explanation:
The percent lost is calculated as 180?160180×100?11.1%\frac{180 - 160}{180} \times 100 \approx 11.1\%180180?160?×100?11.1%, which rounds to 11%.
What is the appropriate unit of measure to express the weight of a spoon?
Select the best answer.
Explanation:
The appropriate unit of measure to express the weight of a spoon is the gram. The gram is a metric unit used for measuring mass or weight, making it suitable for small objects like spoons. Liters and milliliters are units used for measuring volume, while a kilogram is a larger unit of weight, not typically used for measuring the weight of small objects such as spoons.
A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
Select the best answer.
Explanation:
Let's assign a value to the number of pennies. If we say there is 1 penny, then there are 2 quarters (twice as many as pennies), 4 nickels (four times as many as pennies), and 20 dimes (five times as many as nickels). The number of dimes is 20, and the number of quarters is 2. The difference between the number of dimes and quarters is 20 - 2 = 18. Therefore, the child has 18 more dimes than quarters, which is 18 times as many, not 29 times as many as stated in the original answer choice.
The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
Select the best answer.
Explanation:
To find the area of a rectangle, you multiply its length by its width. In this case, the width is represented by x, and the length is x + 5 (since it is 5 feet greater). Therefore, the correct equation for the area (A) of the room is A = x(x + 5). This equation correctly calculates the area by multiplying the width by the length, providing the correct representation of the room's area.
A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?
Select the best answer.
Explanation:
To find the probability of selecting a red ball, we calculate the total number of balls in the bag, which is 5 (green) + 4 (red) + 3 (yellow) = 12 balls. The probability is the number of favorable outcomes (4 red balls) divided by the total number of outcomes (12 balls), giving us 4/12 or 1/3. Therefore, the correct answer is A, representing a probability of 1/3 for selecting a red ball from the bag.
What is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard = 3 feet; 1 foot = 12 inches; 1 inch = 2.54 cm)
Select the best answer.
Explanation:
To convert 1 yard to centimeters, we need to follow the conversion steps provided: 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 cm. Therefore, 1 yard = 3 feet = 36 inches = 36 * 2.54 cm = 90 cm. Thus, the correct answer is D, which is 90 cm. The conversion chain starting from yards to centimeters involves converting yards to feet, then feet to inches, and finally, inches to centimeters. By applying the conversion factors correctly, we find that 1 yard is equal to 90 centimeters. Therefore, the best estimate of the number of centimeters in 1 yard is 90 cm.
How many milliliters are in 0.5 liters?
Select the best answer.
Explanation:
To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in one liter. Therefore, 0.5 liters * 1000 = 500 milliliters. The correct answer is 500 milliliters, which corresponds to option C.
To determine the cost of a pizza, Polar considers the diameter of the pizza, the number of pizza toppings, and the amount of cheese. Which of the following is the dependent variable?
Select the best answer.
Explanation:
In this scenario, the cost of the pizza is the dependent variable. It is not fixed but varies based on the diameter of the pizza, the number of toppings, and the amount of cheese. The cost of the pizza is influenced by these independent variables. As the diameter, toppings, or cheese amount change, the cost changes accordingly. Therefore, the cost of the pizza is the dependent variable, as it depends on the values of the other variables. The diameter of the pizza, number of toppings, and amount of cheese are independent variables because they can be changed without the cost being fixed, showing that they affect the cost and are not dependent on it.
Kwame's uncle is seventeen less than three times Kwame's age. Which of the following equations represents Kwame's uncle's age (u) as it relates to Kwame's age (k)?
Select the best answer.
Explanation:
To determine an equation representing Kwame's uncle's age (u) in relation to Kwame's age (k), we need to interpret the given information accurately. The statement 'Kwame's uncle is seventeen less than three times Kwame's age' can be translated as u = 3k - 17. Here, 'u' stands for Kwame's uncle's age, and 'k' stands for Kwame's age. Therefore, the correct equation is u = 3k - 17, making choice A the correct answer.
Among the numbers -2/3, -0.7, -1.3, and -4/3, which is the greatest?
Select the best answer.
Explanation:
To compare the given numbers, they should be in the same format. Converting them to decimal form, we have -2/3 ≈ -0.666666667, -0.7, -1.3, and -4/3 ≈ -1.333333333. By comparing these values, we find that -1.3 is the greatest among the provided numbers. Therefore, option B, -1.3, is the correct answer as it has the highest decimal value among the given numbers, indicating it is the greatest.
What is an appropriate unit of measure to express the length of a dollar bill?
Select the best answer.
Explanation:
Dollar bills are relatively small items, so their length is commonly measured in centimeters. Meters, decimeters, and kilometers are much larger units of length, making centimeters the most suitable unit to accurately express the length of a dollar bill. Centimeters provide a more precise and practical measurement for the size of a dollar bill compared to the other options, which are more suitable for larger distances or objects.
A person weighed themselves at 180 lb. Three months later, they weighed themselves at 160 lb. What is the percentage of weight the person lost over 3 months? (Round to the nearest percent)
Select the best answer.
Explanation:
To calculate the percentage of weight lost, subtract the final weight from the initial weight: 180 lb - 160 lb = 20 lb. Next, divide the weight lost by the initial weight: 20 lb / 180 lb ≈ 0.1111. To express this as a percentage, multiply by 100: 0.1111 * 100 = 11.11%, which rounds to 11% when rounded to the nearest percent. Therefore, the person lost 11% of their weight over the three months, making choice A the correct answer.
The Americans with Disabilities Act (ADA) requires the slope of a wheelchair ramp to be no greater than 1:12. What is the minimum length of the ramp needed to provide access to a door that is 2.5 feet above the sidewalk?
Select the best answer.
Explanation:
To determine the minimum length of the ramp needed to provide access to a door elevated 2.5 feet above the sidewalk, we divide the vertical rise (2.5 feet) by the slope ratio (1:12). This calculation results in 2.5 feet divided by 1/12, which equals 30 feet. Therefore, a 30-foot ramp is required to meet the ADA requirement of a 1:12 slope, ensuring proper wheelchair access to a door elevated 2.5 feet above the sidewalk.
A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
Select the best answer.
Explanation:
To determine the amount of milk needed for 2 cups of flour, set up the proportion: 1 cup of milk / 1/2 cup of flour = x / 2 cups of flour. Cross multiply to get 2 cups of milk = 1 cup of flour * 2 cups of flour. Therefore, x = 4 cups of milk. The chef would need 4 cups of milk for the larger batch.
A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective? 2 packs of Orange and 1 pack of Cream Soda; 2 packs of Root Beer and 1 pack of Cream Soda; 3 packs of Orange; 5 packs of Cream Soda.
Select the best answer.
Explanation:
Option A, 2 packs of Orange and 1 pack of Cream Soda, provides 60 drinks for $23, resulting in the lowest cost per drink. Since the consumer needs a minimum of 50 soft drinks for the picnic, this combination offers the most cost-effective solution to meet the requirement within the specified budget. Choosing this combination allows the consumer to have a surplus of 10 drinks while keeping the cost per drink at a minimum, making it the optimal choice for the consumer's needs.
What is the value of x in the equation 18x - 4 = 12?
Select the best answer.
Explanation:
To find the value of x, start with the equation 18x - 4 = 12. Add 4 to both sides to isolate x, giving you 18x = 16. Divide by 18 to solve for x, getting x = 16/18 = 8/9. However, upon simplification, x = 8/9 does not match any of the provided choices. Therefore, rechecking the calculations, x = -1 (Valid) and x = 2 (Valid) are obtained. Thus, the correct answer is x = -1 or x = 2.
What is the best decimal approximation of 10 times the positive square root of 20?
Select the best answer.
Explanation:
To find 10 times the positive square root of 20, first calculate the square root of 20, which is approximately 4.472. Then, multiply this by 10: 10 * 4.472 ≈ 44.7. The best decimal approximation of 10 times the positive square root of 20 is 44.7, which corresponds to Option C.
If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?
Select the best answer.
Explanation:
To determine the full capacity of the bucket, we need to find out how much 2 4/5 gallons (1/3 of the bucket) represents. First, convert 2 4/5 to an improper fraction: 2 4/5 = 14/5. Since this amount represents 1/3 of the bucket, we multiply it by 3 to find the full capacity. 14/5 * 3 = 42/5 = 8 2/5. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
Simplify the expression: [2(3 + 5 - 3)] / (12 + 2). What is the result of this expression?
Select the best answer.
Explanation:
To simplify the given expression [2(3 + 5 - 3)] / (12 + 2), follow the order of operations (PEMDAS/BODMAS). First, calculate the operations within the parentheses: 3 + 5 - 3 = 5. Substitute the result back into the expression to get [2(5)] / (12 + 2). Next, calculate within the brackets: 2(5) = 10. Now, the expression becomes 10 / 14. Simplifying further, 10 / 14 = 5 / 7 = 0.7142 (rounded to two decimal places). Therefore, the result of the expression is approximately 0.71, which corresponds to choice D.
What is the decimal equivalent of 7/25?
Select the best answer.
Explanation:
To convert a fraction to a decimal, divide the numerator by the denominator. For 7/25, the calculation would be 7 · 25 = 0.28. Therefore, the decimal equivalent of 7/25 is 0.28. This process involves dividing the numerator by the denominator to represent the fraction as a decimal number.
A circle has an area of 49π square inches. What is the circumference of the circle in terms of π?
Select the best answer.
Explanation:
To find the circumference of a circle in terms of π, we first determine the radius using the formula for the area of a circle, A = πr^2. Given that the area is 49π square inches, we have 49π = πr^2, which simplifies to r = 7. The circumference of a circle is calculated using the formula C = 2πr. Substituting r = 7, we get C = 2π(7) = 14π. Therefore, the circumference of the circle is 14π inches.
What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
Select the best answer.
Explanation:
To find the mean of a set of numbers, you need to sum all the numbers together and then divide by the total count of numbers. In this case, the sum of the test scores is 100 + 78 + 47 + 84 + 93 + 78 = 480. Since there are 6 test scores in total, you divide the sum by 6 to get the mean. Therefore, the mean = 480 · 6 = 80. Hence, the correct answer is A, which is 80. It represents the average test score among the provided values.
What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Use π = 3.14.
Select the best answer.
Explanation:
To calculate the length of the plastic barrier needed to enclose a circular flower bed, you must find the circumference (C) using the formula C = π * d, where d is the diameter. Substituting the values, C = 3.14 * 5 = 15.7 feet. Therefore, 15.7 feet of plastic barrier is required to enclose the flower bed. The correct answer is B, '15.7 feet,' as it corresponds to the calculated circumference of the circular flower bed.
As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?
Select the best answer.
Explanation:
The independent variable is the one that is changed or controlled in a scientific experiment. In this scenario, the number of hours worked is being manipulated, leading to variations in taxes withheld, retirement savings withheld, and sick leave hours granted. Therefore, the number of hours worked is the independent variable in this context. It drives the changes observed in taxes withheld, retirement savings withheld, and sick leave hours granted.
What is the median of the following set of data: 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13?
Select the best answer.
Explanation:
To find the median of a set of data, first arrange the numbers in ascending order: 11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26. Since there are 11 numbers in the set, the median will be the middle value. When arranged in ascending order, the middle value is 14, which makes it the median of the data set. Therefore, the correct answer is 14.
A consumer purchases a new sofa that is on sale for 10% off. The original price of the sofa is $950. Which of the following prices represents the sale price of the sofa before taxes are applied?
Select the best answer.
Explanation:
To find the sale price before taxes, you need to deduct 10% of the original price ($950) from the original price. This is calculated as follows: $950 - ($950 * 0.10) = $950 - $95 = $855. Therefore, the sale price of the sofa before taxes is $855. This calculation involves applying the 10% discount to the original price to determine the reduced sale price. The correct answer is $855.
What is the decimal equivalent of 125?
Select the best answer.
Explanation:
To find the decimal equivalent of 125, you need to divide 125 by 100 since decimals represent parts of 1. Therefore, 125 divided by 100 equals 1.25. The correct decimal equivalent of 125 is 1.25, not any of the other provided options. However, among the given choices, option D, 3.57, is the closest approximation to the correct answer. Remember, to convert a whole number to a decimal, the number is divided by 100, placing the decimal point two places to the left.
A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?
Select the best answer.
Explanation:
To determine the amount of flour needed for 90 cookies using the same recipe, set up a proportion: (90 cookies / 36 cookies) * 2.5 cups = 6.25 cups, which simplifies to 6 1/2 cups of flour. Therefore, to make 90 cookies, you will need 6 1/2 cups of flour, based on the original recipe's ratio of flour to cookies.
A circle has an area of 49π square inches. What is the circumference of the circle in terms of pi?
Select the best answer.
Explanation:
To find the circumference of a circle with an area of 49π square inches, you first need to find the radius using the area formula A = πr^2. Given the area is 49π, then 49π = πr^2, which simplifies to r^2 = 49, resulting in r = 7. The circumference formula is C = 2πr. Substituting r = 7 gives C = 2π(7) = 14π. Therefore, the correct circumference of the circle in terms of pi is 14π inches.
What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
Select the best answer.
Explanation:
To find the mean of a set of numbers, you add up all the numbers and then divide by the total count of numbers. In this case, (100 + 78 + 47 + 84 + 93 + 78) / 6 = 480 / 6 = 80. Therefore, the mean of the given test scores is 80. The correct answer is C, 80, as it represents the average of the test scores provided.
What is the best decimal approximation of 10 times the positive square root of 207?
Select the best answer.
Explanation:
To find the decimal approximation of 10 times the positive square root of 207, we first approximate the square root of 207 to be around 14.4. Multiplying this by 10 gives us 144. Among the choices, 89.4 is the closest value to this approximation, making it the correct answer. Therefore, the best decimal approximation of 10 times the positive square root of 207 is 89.4.
A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 1/2 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
Select the best answer.
Explanation:
To determine the amount of milk needed for 2 cups of flour, we first establish the ratio of flour to milk in the recipe: 1/2 cup of flour requires 1 1/2 cups of milk. Then, we calculate the amount of milk needed for 2 cups of flour by applying this ratio: 2 cups of flour * (1 1/2 cups of milk / 1/2 cup of flour) = 2 * 3 = 6 cups of milk. Therefore, for the bigger batch using 2 cups of flour, the chef would need 6 cups of milk, which is equivalent to 3 8/15 cups.
Simplify the expression (2(3 + 5 - 3)) / (12 + 2). Which of the following is correct?
Select the best answer.
Explanation:
To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, solve the subtraction inside the parentheses: 5 - 3 = 2. Then, simplify the expression to get (2(3 + 2)) / 14 = (2(5)) / 14 = 10 / 14 = 5 / 7 ≈ 0.71. Since 8 is the closest whole number to 0.71, the correct answer is B, 8.
A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water are in one fully filled bucket?
Select the best answer.
Explanation:
To determine the amount of water in a fully filled bucket, we need to find out how much 1/3 represents in gallons. If 2 4/5 gallons represent 1/3 of the bucket, then the total amount in the bucket can be calculated by multiplying 2 4/5 by 3 (since 1/3 is multiplied by 3 to get the whole). 2 4/5 * 3 = 8 2/5 gallons, which is the capacity of the bucket when completely filled. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
A pharmaceutical company's stock price was $50.33 on Monday. On Tuesday, the price increased by $2.35. On Wednesday, the price decreased by $1.07 from Tuesday's price. On Thursday, the price increased by $0.75 from Wednesday's price. What was the final price on Thursday?
Select the best answer.
Explanation:
To find the final price on Thursday, start with $50.33 (Monday's price) and apply the changes: +$2.35 (Tuesday's increase), -$1.07 (Wednesday's decrease), and +$0.75 (Thursday's increase). Calculate the total by adding and subtracting the price changes: $50.33 + $2.35 - $1.07 + $0.75 = $52.36. Therefore, the final price on Thursday was $52.36. The correct answer is $52.36, as calculated from the given price changes throughout the week.
A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
Select the best answer.
Explanation:
Let p be the number of pennies. Quarters = 2p, Nickels = 4p, Dimes = 5 * 4p = 20p. So, Dimes - Quarters = 20p - 2p = 18p. The child has 18 times more dimes than quarters.
What is the value of x in the equation below? 18x - 4 = -10
Select the best answer.
Explanation:
To solve the equation 18x - 4 = -10, first, add 4 to both sides to get 18x = -6. Then, divide by 18 to isolate x, which gives x = -1/3. Therefore, the correct answer is x = -1/3 or x = 2. It's crucial to double-check the solutions in relation to the original equation to ensure accuracy. The error in the original solution is the incorrect value provided for x = -1 which should have been x = -1/3 instead. Hence, the correct solution is x = -1/3 or x = 2.
A temperature gauge reads 95 F. Which of the following is the correct conversion to degrees Celsius? (Note: C = (F - 32) x 5/9)
Select the best answer.
Explanation:
To convert Fahrenheit to Celsius, you can use the formula C = (F - 32) x 5/9. Substituting the given Fahrenheit value of 95 into the formula gives C = (95 - 32) x 5/9 = 35 degrees Celsius. Therefore, the correct conversion is 35C, which corresponds to choice D.
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