TEAS Math - Practice #2 - Quiz & Trivia

1. What is the value of y when x = 3 and y = 5 + 4x?

6

17

9

12

The value of y when x = 3 and y = 5 + 4x can be found by substituting the value of x into the equation. When x = 3, 4x = 4(3) = 12. Therefore, y = 5 + 12 = 17.

Explanation

The value of y when x = 3 and y = 5 + 4x can be found by substituting the value of x into the equation. When x = 3, 4x = 4(3) = 12. Therefore, y = 5 + 12 = 17.

2. One side of a square bandage is 4 inches long. What is the perimeter of the bandage?

4 inches

8 inches

12 inches

16 inches

The perimeter of a square is found by multiplying the length of one side by 4. In this case, since one side of the bandage is 4 inches long, the perimeter would be 4 x 4 = 16 inches.

Explanation

The perimeter of a square is found by multiplying the length of one side by 4. In this case, since one side of the bandage is 4 inches long, the perimeter would be 4 x 4 = 16 inches.

3. A licensed practical nurse has to lift four patients during his 8-hour shift. The patients weigh 152 pounds, 168 pounds, 182 pounds, and 201 pounds. Approximately how many pounds will the nurse have to lift during his shift?

690

710

700

750

The nurse has to lift four patients during his 8-hour shift. The weights of the patients are 152 pounds, 168 pounds, 182 pounds, and 201 pounds. To find the total weight the nurse has to lift, we add up the weights of all the patients: 152 + 168 + 182 + 201 = 703 pounds. Since the question asks for an approximate answer, we round the total weight to the nearest ten, which is 700 pounds. Therefore, the nurse will have to lift approximately 700 pounds during his shift.

Explanation

The nurse has to lift four patients during his 8-hour shift. The weights of the patients are 152 pounds, 168 pounds, 182 pounds, and 201 pounds. To find the total weight the nurse has to lift, we add up the weights of all the patients: 152 + 168 + 182 + 201 = 703 pounds. Since the question asks for an approximate answer, we round the total weight to the nearest ten, which is 700 pounds. Therefore, the nurse will have to lift approximately 700 pounds during his shift.

4. How many inches are there in

yards?

126

120

160

168

There are 36 inches in a yard. Therefore, to find the number of inches in yards, we can multiply the number of yards by 36. In this case, 120 yards multiplied by 36 equals 4320 inches. Therefore, the correct answer is 4320.

Explanation

There are 36 inches in a yard. Therefore, to find the number of inches in yards, we can multiply the number of yards by 36. In this case, 120 yards multiplied by 36 equals 4320 inches. Therefore, the correct answer is 4320.

5.

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Explanation

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6. Second-year hospital resident Ann Green earns $26,000 a year. If she receives a 4.5% salary increase, how much will she earn?

$26,400

$27,170

$27,260

$29,200

Ann Green earns $26,000 a year. If she receives a 4.5% salary increase, her new salary will be calculated by multiplying her current salary by 1 plus the percentage increase. Therefore, her new salary will be $26,000 * (1 + 0.045) = $27,170.

Explanation

Ann Green earns $26,000 a year. If she receives a 4.5% salary increase, her new salary will be calculated by multiplying her current salary by 1 plus the percentage increase. Therefore, her new salary will be $26,000 * (1 + 0.045) = $27,170.

7. Thirty-five percent of what number is equal to 14?

4

40

400

49

To find the number, we can set up the equation: 35% of x = 14. To solve for x, we divide both sides of the equation by 35% (or 0.35). This cancels out the percentage, leaving us with x = 14 / 0.35. Simplifying this expression gives us x = 40. Therefore, the number that is 35% of 40 is equal to 14.

Explanation

To find the number, we can set up the equation: 35% of x = 14. To solve for x, we divide both sides of the equation by 35% (or 0.35). This cancels out the percentage, leaving us with x = 14 / 0.35. Simplifying this expression gives us x = 40. Therefore, the number that is 35% of 40 is equal to 14.

8.

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Explanation

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9. 0.63 m 0.42 is equal to

26.46

2.646

0.2646

0.02646

When multiplying decimal numbers, we multiply the numbers as if they were whole numbers, and then count the total number of decimal places in the original numbers. In this case, multiplying 0.63 and 0.42 gives us 0.2646. Since both numbers have two decimal places, the product also has two decimal places. Therefore, the correct answer is 0.2646.

Explanation

When multiplying decimal numbers, we multiply the numbers as if they were whole numbers, and then count the total number of decimal places in the original numbers. In this case, multiplying 0.63 and 0.42 gives us 0.2646. Since both numbers have two decimal places, the product also has two decimal places. Therefore, the correct answer is 0.2646.

10. In the cardiac ward, there are seven nursing assistants. NA Basil has eight patients; NA Hobbes has five patients; NA McGuire has nine patients; NA Hicks has ten patients; NA Garcia has ten patients; NA James has 14 patients; and NA Davis has seven patients. What is the average number of patients per nursing assistant?

7

9

8

10

The average number of patients per nursing assistant can be calculated by adding up the number of patients each nursing assistant has and then dividing it by the total number of nursing assistants. In this case, the sum of the number of patients for all nursing assistants is 8 + 5 + 9 + 10 + 10 + 14 + 7 = 63. Since there are 7 nursing assistants, the average number of patients per nursing assistant is 63 divided by 7, which equals 9. Therefore, the correct answer is 9.

Explanation

The average number of patients per nursing assistant can be calculated by adding up the number of patients each nursing assistant has and then dividing it by the total number of nursing assistants. In this case, the sum of the number of patients for all nursing assistants is 8 + 5 + 9 + 10 + 10 + 14 + 7 = 63. Since there are 7 nursing assistants, the average number of patients per nursing assistant is 63 divided by 7, which equals 9. Therefore, the correct answer is 9.

11. Out of 100 shoppers polled, 80 said they buy fresh fruit every week. How many shoppers out of 30,000 could be expected to buy fresh fruit every week?

2,400

22,000

6,000

24,000

Based on the information provided, 80 out of 100 shoppers buy fresh fruit every week. To find out how many shoppers out of 30,000 could be expected to buy fresh fruit every week, we can use a proportion. We set up the proportion: 80/100 = x/30,000. Cross-multiplying, we get 100x = 80 * 30,000, which simplifies to 100x = 2,400,000. Dividing both sides by 100, we find that x = 24,000. Therefore, it can be expected that 24,000 shoppers out of 30,000 will buy fresh fruit every week.

Explanation

Based on the information provided, 80 out of 100 shoppers buy fresh fruit every week. To find out how many shoppers out of 30,000 could be expected to buy fresh fruit every week, we can use a proportion. We set up the proportion: 80/100 = x/30,000. Cross-multiplying, we get 100x = 80 * 30,000, which simplifies to 100x = 2,400,000. Dividing both sides by 100, we find that x = 24,000. Therefore, it can be expected that 24,000 shoppers out of 30,000 will buy fresh fruit every week.

12.

15

75

12

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Explanation

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13.

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Explanation

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14. Mr. Beard's temperature is 98° Fahrenheit. What is his temperature in degrees Celsius?

35.8

37.6

36.7

31.1

To convert Fahrenheit to Celsius, you subtract 32 from the Fahrenheit temperature and then multiply the result by 5/9. In this case, subtracting 32 from 98 gives us 66, and multiplying 66 by 5/9 gives us approximately 36.7. Therefore, Mr. Beard's temperature in degrees Celsius is 36.7.

Explanation

To convert Fahrenheit to Celsius, you subtract 32 from the Fahrenheit temperature and then multiply the result by 5/9. In this case, subtracting 32 from 98 gives us 66, and multiplying 66 by 5/9 gives us approximately 36.7. Therefore, Mr. Beard's temperature in degrees Celsius is 36.7.

15. A piece of gauze 3 feet 4 inches long was divided into five equal parts. How long was each part?

8 inches

1 foot 2 inches

10 inches

6 inches

The gauze is 3 feet 4 inches long, which is equivalent to 40 inches. Since it is divided into five equal parts, each part would be 40 inches divided by 5, which equals 8 inches.

Explanation

The gauze is 3 feet 4 inches long, which is equivalent to 40 inches. Since it is divided into five equal parts, each part would be 40 inches divided by 5, which equals 8 inches.

16. In a triangle, angle A is 70° and angle B is 30°. What is the measure of angle C?

90°

70°

80°

100°

The sum of the angles in a triangle is always 180°. Given that angle A is 70° and angle B is 30°, we can find angle C by subtracting the sum of angles A and B from 180°. Therefore, angle C is 180° - 70° - 30° = 80°.

Explanation

The sum of the angles in a triangle is always 180°. Given that angle A is 70° and angle B is 30°, we can find angle C by subtracting the sum of angles A and B from 180°. Therefore, angle C is 180° - 70° - 30° = 80°.

17. If

, What is x?

11

8

60

12

The given question does not provide any context or information about what x represents. Therefore, it is not possible to determine the value of x based on the given options. The correct answer of 12 is arbitrary and unrelated to the given question.

Explanation

The given question does not provide any context or information about what x represents. Therefore, it is not possible to determine the value of x based on the given options. The correct answer of 12 is arbitrary and unrelated to the given question.

18. What percentage of 18,000 is 234?

1,300%

1.3%

13%

130%

To find the percentage, we need to divide the given number (234) by the total number (18,000) and then multiply the result by 100. In this case, (234/18,000) * 100 = 1.3%. Therefore, 1.3% is the correct answer.

Explanation

To find the percentage, we need to divide the given number (234) by the total number (18,000) and then multiply the result by 100. In this case, (234/18,000) * 100 = 1.3%. Therefore, 1.3% is the correct answer.

19. What is 3.16 ÷ 0.079 equal to?

40

4.0

0.025

2.5

When dividing 3.16 by 0.079, we can think of it as finding how many times 0.079 can fit into 3.16. To do this, we divide 3.16 by 0.079, which gives us 40. So, 3.16 divided by 0.079 is equal to 40.

Explanation

When dividing 3.16 by 0.079, we can think of it as finding how many times 0.079 can fit into 3.16. To do this, we divide 3.16 by 0.079, which gives us 40. So, 3.16 divided by 0.079 is equal to 40.

20. What is 0.716 rounded to the nearest tenth?

0.72

0.8

1.0

0.7

0.716 rounded to the nearest tenth would be 0.7. When rounding to the nearest tenth, we look at the digit in the hundredth place, which is 1 in this case. Since 1 is less than 5, we round down and keep the digit in the tenths place the same, which is 7. Therefore, the rounded value is 0.7.

Explanation

0.716 rounded to the nearest tenth would be 0.7. When rounding to the nearest tenth, we look at the digit in the hundredth place, which is 1 in this case. Since 1 is less than 5, we round down and keep the digit in the tenths place the same, which is 7. Therefore, the rounded value is 0.7.

21. There are 176 men and 24 women serving in a U.S. Army hospital. What percentage of the hospital's staff is women?

12%

14%

16%

24%

The percentage of women in the hospital's staff can be calculated by dividing the number of women (24) by the total number of staff members (176 + 24 = 200) and then multiplying by 100. Thus, (24/200) * 100 = 12%.

Explanation

The percentage of women in the hospital's staff can be calculated by dividing the number of women (24) by the total number of staff members (176 + 24 = 200) and then multiplying by 100. Thus, (24/200) * 100 = 12%.

22. What is the area of a triangle with a height of 9 inches and a base of 4 inches?

36

9

18

13

The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this case, the base is 4 inches and the height is 9 inches. Multiplying 4 by 9 gives us 36, and dividing that by 2 gives us 18. Therefore, the area of the triangle is 18.

Explanation

The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this case, the base is 4 inches and the height is 9 inches. Multiplying 4 by 9 gives us 36, and dividing that by 2 gives us 18. Therefore, the area of the triangle is 18.

23. What is the area of the following figure?

17

26

24

19

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Explanation

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24. How much water must be added to 1 liter of a 5% saline solution to get a 2% saline solution?

1 liter

1.5 liter

2 liters

2.5 liters

To get a 2% saline solution, the amount of salt in the solution needs to be diluted. Since the original solution is 5% saline, it is stronger than the desired 2% saline solution. Therefore, water needs to be added to dilute the salt concentration. To find the amount of water needed, we can set up a proportion: 5%/1L = 2%/x. Solving for x, we find that x = 2.5L. Therefore, 2.5 liters of water must be added to 1 liter of the 5% saline solution to get a 2% saline solution.

Explanation

To get a 2% saline solution, the amount of salt in the solution needs to be diluted. Since the original solution is 5% saline, it is stronger than the desired 2% saline solution. Therefore, water needs to be added to dilute the salt concentration. To find the amount of water needed, we can set up a proportion: 5%/1L = 2%/x. Solving for x, we find that x = 2.5L. Therefore, 2.5 liters of water must be added to 1 liter of the 5% saline solution to get a 2% saline solution.

25. If x = 6, y = -2, and z = 3, what is the value of the following expression?

The value of the expression can be found by substituting the given values of x, y, and z into the expression.

Explanation

The value of the expression can be found by substituting the given values of x, y, and z into the expression.

26. A certain water pollutant is unsafe at a level of 20 ppm (parts per million). A city's water supply now contains 50 ppm of this pollutant. What percentage of improvement will make the water safe?

30%

40%

50%

60%

To determine the percentage of improvement needed to make the water safe, we need to find the difference between the current pollutant level (50 ppm) and the unsafe level (20 ppm). The difference is 30 ppm. To calculate the percentage of improvement, we divide this difference by the unsafe level and multiply by 100. Therefore, (30 ppm / 20 ppm) * 100 = 150%. However, since we are looking for the percentage of improvement needed, we subtract 100% from this result. Hence, the percentage of improvement needed is 150% - 100% = 50%. Therefore, the correct answer is 60%.

Explanation

To determine the percentage of improvement needed to make the water safe, we need to find the difference between the current pollutant level (50 ppm) and the unsafe level (20 ppm). The difference is 30 ppm. To calculate the percentage of improvement, we divide this difference by the unsafe level and multiply by 100. Therefore, (30 ppm / 20 ppm) * 100 = 150%. However, since we are looking for the percentage of improvement needed, we subtract 100% from this result. Hence, the percentage of improvement needed is 150% - 100% = 50%. Therefore, the correct answer is 60%.

27. Body mass index (BMI) is equal to weight in kilograms divided by height in meters squared. A man who weighs 64.8 kg has a BMI of 20. How tall is he?

0.9 m

3.6 m

1.8 m

2.16 m

The given question provides the formula for calculating BMI, which is weight in kilograms divided by height in meters squared. The question states that a man weighs 64.8 kg and has a BMI of 20. To find his height, we can rearrange the formula and solve for height. Dividing the weight of 64.8 kg by the BMI of 20 gives us 3.24. Taking the square root of 3.24 gives us approximately 1.8. Therefore, the man is approximately 1.8 meters tall.

Explanation

The given question provides the formula for calculating BMI, which is weight in kilograms divided by height in meters squared. The question states that a man weighs 64.8 kg and has a BMI of 20. To find his height, we can rearrange the formula and solve for height. Dividing the weight of 64.8 kg by the BMI of 20 gives us 3.24. Taking the square root of 3.24 gives us approximately 1.8. Therefore, the man is approximately 1.8 meters tall.

28. All the rooms on the orthopedic ward are rectangular with 8-foot ceilings. One room is 9 feet wide by 11 feet long. What is the combined area of the four walls, including doors and windows?

99 square feet

160 square feet

320 square feet

72 square feet

The combined area of the four walls can be calculated by finding the perimeter of the room and multiplying it by the height of the walls. The perimeter of the room is calculated by adding the lengths of all four sides, which in this case would be (9+11+9+11) = 40 feet. Multiplying the perimeter by the height of the walls (8 feet) gives us 40 * 8 = 320 square feet.

Explanation

The combined area of the four walls can be calculated by finding the perimeter of the room and multiplying it by the height of the walls. The perimeter of the room is calculated by adding the lengths of all four sides, which in this case would be (9+11+9+11) = 40 feet. Multiplying the perimeter by the height of the walls (8 feet) gives us 40 * 8 = 320 square feet.