Free TEAS Math practice for TEAS Math Version 2 (ATI TEAS 7). Answer 38 nursing exam-style questions with rationales, exam mode, and progress tracking on Nursin
A student lives 23.2 miles from the local community college. Which of the following distances in kilometers does the student travel to go to class? (Round to the nearest tenth.) Note: 1 km = 0.62 mi
Select the best answer.
Explanation:
To convert miles to kilometers, use the formula: kilometers = miles ÷ 0.62. Thus, 23.2 mi ÷ 0.62 ? 37.419 km, rounded to 37.4 km.
A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])
Select the best answer.
Explanation:
To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.
(x/y) - z = nw. Solve for x in the equation above.
Select the best answer.
Explanation:
To solve for x, first add z to both sides: (x/y) = nw + z. Then multiply both sides by y to isolate x: x = y(nw + z).
A board is 12.3 m long. Which of the following is the length of the board in centimeters?
Select the best answer.
Explanation:
To convert meters to centimeters, multiply by 100. Thus, 12.3 m × 100 = 1230 cm.
An employer wants to purchase one cup of coffee for each of their 214 employees. A cup of coffee costs $3.95. To estimate the total cost, the employer plans to round the number of employees to the nearest ten and round the cost of the coffee to the nearest dollar. Which of the following prices represents the estimated total cost for the coffee?
Select the best answer.
Explanation:
Rounding 214 employees to the nearest ten gives 210. Rounding the cost of coffee ($3.95) to the nearest dollar gives $4. The estimated total cost is 210 x $4 = $840.00.
Which of the following is the range of the test scores given below? 52, 68, 41, 97, 65, 81, 72, 52, 85, 98, 85
Select the best answer.
Explanation:
The range is calculated by subtracting the lowest score from the highest score. The highest score is 98, and the lowest score is 41. Thus, the range is 98 - 41 = 57.
The length of a rectangle is 3 units greater than its width. Which expression correctly represents the perimeter of the rectangle?
Select the best answer.
Explanation:
To find the perimeter of a rectangle, you need to add the lengths of all sides. In this scenario, where the length is 3 units greater than the width, the correct expression for the perimeter is 2w + 2(w+3). This simplifies to 4w + 6 or 2(2w + 3). The expression represents the sum of the two widths and two lengths of the rectangle. Each width is added to a length, and since a rectangle has two pairs of equal sides, the expression accounts for all sides correctly.
A homeowner has hired two individuals to mow his lawn. If person A is able to mow the lawn in 2 hours by himself, and person B is able to mow the lawn in 3 hours by himself, how long would it take for both person A and person B to mow the lawn together?
Select the best answer.
Explanation:
To find out how long it would take for both person A and person B to mow the lawn together, we can use the formula: 1 / (1/A + 1/B), where A and B represent the individual times taken by each person. Substituting A = 2 hours and B = 3 hours into the formula: 1 / (1/2 + 1/3) = 1 / (5/6) = 6/5 = 1.2 hours. Therefore, it would take both person A and person B 1.2 hours to mow the lawn together.
What is the metric equivalent of 7 inches in measurements used for appointments?
Select the best answer.
Explanation:
To convert inches to centimeters, you can use the conversion factor that 1 inch is equal to 2.54 centimeters. Therefore, 7 inches is equivalent to 7 * 2.54 = 17.78 cm, which is closest to 17.8 cm (Choice B). This conversion is commonly used in various fields to provide accurate measurements across different systems. In this case, for appointments, knowing the metric equivalent of inches is important for precise measurements and communication, ensuring accurate scheduling and planning.
Based on the table showing healthcare spending per capita in a group of African nations, which country experienced the greatest change in dollars spent per capita from 2013 to 2015?
Select the best answer.
Explanation:
To determine the country with the most significant change in healthcare spending per capita, we calculate the difference between the spending in 2015 and 2013 for each country. In the case of Tanzania, the expenditure decreased from $68 in 2013 to $8 in 2015, indicating the largest drop in dollars spent per capita among the options provided. Therefore, the correct answer is C, Tanzania.
What is 31% of 426?
Select the best answer.
Explanation:
To find 31% of 426, you multiply 426 by 0.31 (which represents 31% in decimal form). The calculation is 426 * 0.31 = 132.06. Therefore, the correct answer is D, 132.06.
Elevation above sea level and temperature are negatively correlated variables. Which of the following statements describes the relationship between the variables?
Select the best answer.
Explanation:
When two variables are negatively correlated, as one variable increases, the other decreases. In this case, as elevation above sea level increases, the temperature decreases. This relationship is often observed due to changes in atmospheric pressure and temperature with altitude. As altitude rises, the air becomes less dense, leading to lower temperatures. Therefore, the correct statement is 'As elevation increases, temperature decreases.' This relationship is crucial in understanding climate patterns, especially in mountainous regions where temperature changes significantly with elevation.
What is the median of the following set of data: 5, -3, 10, -2, 0?
Select the best answer.
Explanation:
To find the median, we first need to arrange the data in ascending order: -3, -2, 0, 5, 10. Since the number of values is odd (5 values), the median is the middle value when the data is arranged in order. In this case, the middle value is 0. Therefore, the correct answer is D: 0, which is the median of the given data set.
A customer recently purchased a new car for $48,000, which is $2,000 less than twice the amount the customer's friend paid for their car. What is the amount that the friend paid for their car?
Select the best answer.
Explanation:
Let x be the amount the friend paid for their car. According to the information given, 2x - 2000 = 48000. By solving this equation, we find 2x = 50000, x = 25000. Therefore, the friend paid $25,000 for their car. Thus, option C, $25,000, is the correct answer. The customer paid $48,000, which is $2,000 less than twice the amount the friend paid, confirming the calculation.
If a force of 132 Newtons stretched a coil by 0.007 meters, what force would be needed to stretch the coil by 0.1 meter? Round to the nearest tenth.
Select the best answer.
Explanation:
To find the force needed to stretch the coil by 0.1 meters, we can use the concept of direct proportionality where the force to stretch remains constant. Setting up a proportion: (132N / 0.007m) = (x / 0.1m). Solving for x, we get x = (132N / 0.007m) * 0.1m = 1885.7N. Therefore, the force required to stretch the coil by 0.1 meters is 1885.7 Newtons.
Which of the following expressions represents the sum of three times a number and eight times another number?
Select the best answer.
Explanation:
To find the sum of three times a number and eight times another number, you need to multiply each number by its respective factor. Three times a number is represented by 3x, and eight times another number is represented by 8y. When adding these two terms together, the correct expression is 3x + 8y. Therefore, choice B is the correct answer as it accurately represents the sum of three times a number and eight times another number.
A soccer field is rectangular in shape and measures 100 meters in length and 75 meters in width. The hectare is a metric unit of area often used to measure large areas. Given that 1 hectare = 10,000 square meters, what is the soccer field's area in hectares?
Select the best answer.
Explanation:
To find the area of the soccer field in square meters, multiply its length by its width: 100 meters * 75 meters = 7500 square meters. To convert square meters to hectares, divide the area in square meters by 10,000 (since 1 hectare = 10,000 square meters): 7500 square meters / 10,000 = 0.75 hectares. Therefore, the soccer field's area in hectares is 0.75 hectares.
A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?
Select the best answer.
Explanation:
To find the original price, start by letting x represent the original price. The sale price is 30% less than x, which means it is 70% of x (100% - 30% = 70%). After the additional 25% off coupon, the consumer pays 75% of the sale price (100% - 25% = 75%). Setting up the equation: 0.75 * 0.7 * x = $237. Solving for x gives x = $451, which is the original price of the recliner.
What is the largest common denominator for the fractions below? (Round the answer to the nearest integer.) 1/2, 2/3, 4/5
Select the best answer.
Explanation:
To find the largest common denominator for the fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, the largest common denominator for these fractions is 30, which is option A.
A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?
Select the best answer.
Explanation:
First, calculate the number of gumballs of each color: Red = 0.20 x 120 = 24 gumballs, Orange = 0.30 x 120 = 36 gumballs, Yellow = 0.05 x 120 = 6 gumballs, Green = 0.10 x 120 = 12 gumballs. The total number of gumballs of the mentioned colors is 24 + 36 + 6 + 12 = 78 gumballs. Therefore, the number of blue gumballs is 120 - 78 = 42 gumballs. To find the difference between the number of blue and yellow gumballs, subtract the number of yellow gumballs from the number of blue gumballs: 42 - 6 = 36. Therefore, there are 36 more blue gumballs than yellow gumballs.
In the equation f(t) = 4t + 9, which of the following is the independent variable?
Select the best answer.
Explanation:
The independent variable is 't' in the equation f(t) = 4t + 9. In a mathematical equation, the independent variable is the one that can be changed or controlled. In this case, 't' is the variable that determines the value of the function f(t). The function f is dependent on the value of 't,' making 't' the independent variable.
Which of the following is the total number of whole boxes that measure 2ft × 2ft × 2ft that can be stored in a room that measures 9ft × 9ft × 9ft, if the sizes of the boxes cannot be altered?
Select the best answer.
Explanation:
The volume of the room is 9ft × 9ft × 9ft = 729 cubic feet. Each box is 2ft × 2ft × 2ft = 8 cubic feet. 729 / 8 = 91 boxes (rounded down), meaning 64 whole boxes can fit.
Which of the following is the correct Simplification of the expression below? 12 +3 × 4 -1+ 2^3
Select the best answer.
Explanation:
Following the order of operations (PEMDAS): 12 + (3 × 4) -1 + (2³) = 12 + 12 -1 + 8 = 31.
Which term best describes the data set below: 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9?
Select the best answer.
Explanation:
A bimodal distribution is characterized by two peaks or distinct values that occur most frequently in the data set. In this specific data set, the values '2' and '8' appear more frequently than other values, indicating two modes, making it a bimodal distribution. The presence of two prominent peaks or modes distinguishes it from a uniform, right-skewed, or left-skewed distribution. In a uniform distribution, all values have similar frequencies, which is not the case here. Right-skewed and left-skewed distributions have a single peak but differ in the tail direction; however, this data set does not exhibit such characteristics.
In a study of the average weight of babies at different time intervals of birth, the babies' measured weight is which of the following types of variable?
Select the best answer.
Explanation:
The correct answer is C: Dependent. The babies' measured weight in this study would be considered a dependent variable. In research, a dependent variable is the outcome that is being measured and studied based on changes in other factors, known as independent variables. In this context, the babies' weight is the variable that is dependent on the time intervals of birth, making it the dependent variable in the study. Therefore, the measured weight of the babies is influenced by the time intervals of birth, indicating a dependency relationship between the variables.
What is the best estimate, in meters, for the average width of a doorway?
Select the best answer.
Explanation:
The average width of a doorway typically ranges from 0.8 to 1.2 meters. Therefore, the best estimate for the average width of a doorway in meters is around 1 meter. Option B, which is 1 meter, is the most accurate estimate among the choices provided. It is important to consider that doorways are commonly designed to accommodate easy access for individuals and items passing through, making the width around 1 meter a standard measurement for doorways in various settings.
A sports utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant of proportionality in miles per gallon?
Select the best answer.
Explanation:
The constant of proportionality in miles per gallon is calculated by dividing the total miles traveled by the total gallons used. In this case, 386.4 miles · 14 gallons = 27.6 miles per gallon. Therefore, option D, 27.6, correctly represents the constant of proportionality in miles per gallon.
Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one friend has 4.5 oz of toppings in their bowl, what is the amount of yogurt in their dessert?
Select the best answer.
Explanation:
To find the amount of yogurt, divide the total parts of the ratio (4+3 = 7) into the total toppings (4.5 oz). Each part of the ratio represents 4.5/7 oz. The amount of yogurt is 4 parts of the ratio, which is 4 * (4.5/7) = 2.57 oz. Rounded to the nearest whole number, the amount of yogurt is 6 oz (2.57 ≈ 6). Therefore, the correct answer is 6 oz. The calculation involves understanding the concept of ratios and parts, where the total parts of the ratio are used to distribute the total amount of toppings to find the specific amount of yogurt based on the ratio provided.
What is the decimal form of 87.5%?
Select the best answer.
Explanation:
To convert a percentage to a decimal, you move the decimal point two places to the left. In this case, to convert 87.5% to a decimal, you move the decimal point two places to the left, resulting in 0.875. Therefore, the correct answer is A, 0.875, as it represents 87.5% in decimal form. Remember that the decimal form of a percentage is always less than 1, which is why choices B, C, and D are incorrect as they do not follow this conversion rule.
Which of the following percentages is equivalent to 5 1/4?
Select the best answer.
Explanation:
To convert 5 1/4 to a percentage, first convert the mixed number to an improper fraction. 5 1/4 is equal to 21/4. To find the equivalent percentage, multiply 21/4 by 100%. This gives 525%, making choice A the correct answer.
What is the most likely weight of a pencil?
Select the best answer.
Explanation:
The weight of a pencil is typically measured in grams. Milligrams (mg) and kilograms (kg) are not commonly used units to measure the weight of a pencil. Centimeters (cm) are a unit of length, not weight. Therefore, 25g is the most appropriate measurement for the weight of a pencil.
A new professional saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?
Select the best answer.
Explanation:
To calculate the percentage increase in client volume, subtract the initial number of clients from the final number, then divide the result by the initial number and multiply by 100. The increase is 1072 - 841 = 231 clients. The percentage increase is calculated as (231 / 841) * 100 ≈ 27%, which corresponds to option B. Therefore, the correct answer is 27%, representing the percentage increase in client volume from the first year to the second year of practice.
Which of the following weights is equivalent to 3.193 kilograms?
Select the best answer.
Explanation:
To convert kilograms to grams, you multiply by 1000. Therefore, 3.193 kilograms is equivalent to 319.3 grams. When converting from kilograms to grams, the decimal point is moved three places to the right to get the equivalent weight in grams. In this case, 3.193 kilograms, when converted to grams, becomes 319.3 grams.
As the number of credit hours a student takes in a semester increases, the amount of tuition, access fees, and the number of student loans available also increase. Which of the following is the independent variable?
Select the best answer.
Explanation:
The independent variable in this scenario is the number of credit hours taken by the student. The independent variable is the one that is manipulated or controlled in an experiment to observe its effect on the dependent variables. In this case, the dependent variables are the amount of tuition, access fees, and the number of student loans available. By changing the number of credit hours, it influences the other variables, making it the independent variable.
What is the area of the largest circle that can fit entirely inside a rectangle measuring 8 centimeters by 10 centimeters?
Select the best answer.
Explanation:
To find the largest circle that fits inside the given rectangle, the circle's diameter should match the shorter side of the rectangle, which is 8 cm. The radius of the circle is half the diameter, making it 4 cm. The area of a circle is determined using the formula A = πr^2, where r is the radius. Substituting r = 4 cm, we get A = π*(4)^2 = 16π cm^2. Therefore, the correct answer is 16π cm^2, as this is the maximum area circle that can fit entirely inside the given rectangle.
A consumer makes a $400 down payment on a television that costs $1,570. How many months will it take to pay off the television with monthly payments of $100? (Assume no interest)
Select the best answer.
Explanation:
To determine the number of months needed to pay off the television, subtract the down payment from the total cost: $1,570 - $400 = $1,170. Next, divide the remaining amount ($1,170) by the monthly payment of $100 to find the number of months: $1,170 · $100 = 11.7 months. Since you cannot make a fraction of a monthly payment, the consumer will need to make 12 monthly payments to fully pay off the television.
Given x/y - 3x = rw, solve for x in the equation above.
Select the best answer.
Explanation:
To solve for x in the equation x/y - 3x = rw, you need to isolate x. This equation involves a term with x on both sides and a division by y, making it challenging to find a direct solution for x. By combining these complexities, there is no single correct expression for x. Therefore, 'None of the Above' is the correct answer as there is no straightforward solution for x in this particular equation.
Which of the following statements demonstrates a negative correlation between two variables?
Select the best answer.
Explanation:
A negative correlation exists when one variable increases as the other variable decreases. In the statement 'Tennis balls that are older tend to have less bounce,' as the age of the tennis balls increases, the bounce decreases, establishing a negative correlation. This demonstrates an inverse relationship where increased age is associated with reduced bounce. Hence, choice B showcases a negative correlation between the variables, making it the correct answer.
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