complete the following equation x x x x x
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ATI TEAS 7

TEAS Math Questions

1. Complete the following equation: x + x * x - x / x = ?

Correct answer: B

Rationale: To solve the equation x + x * x - x / x, follow the order of operations (PEMDAS/BODMAS). First, perform the multiplication: x * x = x^2. Then, perform the division: x / x = 1. Substituting these back into the equation gives x + x^2 - 1. Therefore, the equation simplifies to x + x^2 - 1. By evaluating this further, the final result is 3. Choices A, C, and D are incorrect because they do not correctly apply the order of operations to solve the equation.

2. A teacher earns $730.00 per week before any tax deductions. The following taxes are deducted each week: $72.00 federal income tax, $35.00 state income tax, and $65.00 Social Security tax. How much will the teacher make in 4 weeks after taxes are deducted?

Correct answer: D

Rationale: After deducting $172 weekly for taxes ($72 + $35 + $65), the teacher's net weekly income is $558. Over 4 weeks, the total income is $2,232.00. Choice A is incorrect as it does not account for the taxes deducted. Choice B is incorrect as it overestimates the income by not deducting the taxes. Choice C is incorrect as it also does not consider the tax deductions.

3. Robert plans to drive 1,800 miles. His car gets 30 miles per gallon, and his tank holds 12 gallons. How many tanks of gas will he need for the trip?

Correct answer: B

Rationale: To calculate how many gallons of gas Robert needs for the 1,800-mile trip, divide the total distance by the car's mileage per gallon: 1,800 miles ÷ 30 mpg = 60 gallons. Since his tank holds 12 gallons, Robert will need 60 gallons ÷ 12 gallons per tank = 5 tanks of gas for the trip. Choice A (4 tanks), Choice C (6 tanks), and Choice D (7 tanks) are incorrect as they do not correctly calculate the number of tanks needed based on the car's mileage and tank capacity.

4. Which of the following numbers has the greatest value?

Correct answer: B

Rationale: To determine the number with the greatest value among the options, focus on the digit in the tenths place. In this case, 1.07548 has the highest value as it has the digit 7 in the tenths place. Comparing this to the other numbers, 1.4378, 1.43592, and 0.89409 have 4, 3, and 8 in the tenths place, respectively. Therefore, 1.07548 is the number with the greatest value as it has the highest digit in the tenths place.

5. What is the result of multiplying (3/5) by (5/8)?

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. For (3/5) * (5/8), you get (3*5) / (5*8) = 15 / 40, which simplifies to 3/8. Therefore, the correct answer is A. Choice B (3/5) is incorrect as it is one of the original fractions being multiplied. Choice C (15/40) is the result of the multiplication but not simplified to its lowest terms. Choice D (3/30) is incorrect as the numerator is not the result of multiplying 3 and 5 together.

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