if 35 of a paycheck was deducted for taxes and 4 for insurance what is the total percent taken out of the paycheck
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ATI TEAS 7

TEAS Test Practice Math

1. If 35% of a paycheck is deducted for taxes and 4% for insurance, what is the total percent taken out of the paycheck?

Correct answer: C

Rationale: When 35% is deducted for taxes and 4% for insurance, the total percentage taken out of the paycheck is 35% + 4% = 39%. Therefore, the correct answer is 39%, which corresponds to option C. Option A (20%) is incorrect because it does not account for the total deductions. Option B (31%) is incorrect as it does not sum up the percentages correctly. Option D (42%) is incorrect as it overestimates the total deductions.

2. Bridget is repainting her rectangular bedroom. Two walls measure 15 feet by 9 feet, and the other two measure 12.5 feet by 9 feet. One gallon of paint covers an average of 32 square meters. Which of the following is the number of gallons of paint that Bridget will use? (There are 3.28 feet in 1 meter.)

Correct answer: B

Rationale: First, convert the dimensions to meters: 15 ft. × (1 m/3.28 ft.) = 4.57 m; 9 ft. × (1 m/3.28 ft.) = 2.74 m; 12.5 ft. × (1 m/3.28 ft.) = 3.81 m. Next, find the total area in square meters: total area = 2(4.57 m × 2.74 m) + 2(3.81 m × 2.74 m) = 45.9 m². Finally, convert the area to gallons of paint: 45.9 m² × (1 gallon/32 m²) = 1.43 gallons. Therefore, Bridget will need 1.43 gallons of paint to repaint her bedroom. Choices A, C, and D are incorrect because they do not accurately calculate the required amount of paint based on the given dimensions and the coverage area of one gallon of paint.

3. If a tree grows an average of 4.2 inches in a day, what is the rate of change in its height per month? Assume a month is 30 days.

Correct answer: D

Rationale: The tree grows at an average rate of 4.2 inches per day. To find the rate of change per month, multiply the daily growth rate by the number of days in a month (30 days): 4.2 inches/day × 30 days = 126 inches per month. Therefore, the rate of change in the tree's height is 126 inches per month, making option D the correct answer. Option A is incorrect because it miscalculates the rate based on daily growth. Option B is incorrect as it doesn't account for the total days in a month. Option C is incorrect as it overestimates the monthly growth rate.

4. A set of patients is divided into groups: 1/2 in Group Alpha, 1/3 in Group Beta, and 1/6 in Group Gamma. Order the groups from smallest to largest.

Correct answer: C

Rationale: To determine the order from smallest to largest groups, we look at the fractions representing the groups. Group Gamma has 1/6, which is the smallest fraction, followed by Group Alpha with 1/2, and Group Beta with 1/3 being the largest fraction. So, the correct order is Gamma, Alpha, Beta. Choice A is incorrect because it lists Alpha, Beta, Gamma, which is the reverse order. Choice B is incorrect as it lists Alpha, Gamma, Beta, which is also incorrect. Choice D is incorrect as it lists Gamma, Beta, Alpha, which is not the correct order based on the fractions provided.

5. What is the GCF (greatest common factor)?

Correct answer: A

Rationale: The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. This factor represents the highest number that can evenly divide each of the numbers in the set without any remainder. Choice B, 'The smallest factor that all the numbers share,' is incorrect because the GCF is the greatest, not the smallest, factor. Choices C and D, 'The largest multiple that all the numbers share' and 'The smallest multiple that all the numbers share,' are also incorrect as the GCF refers to factors, not multiples.

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