a woman wants to stack two small bookcases beneath a window that is 26 inches from the loor the larger bookcase is 14 inches tall the other bookcase i
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ATI TEAS 7

TEAS Test Practice Math

1. A woman wants to stack two small bookcases beneath a window that is 26 inches from the floor. The larger bookcase is 14 inches tall. The other bookcase is 8 inches tall. How tall will the two bookcases be when they are stacked together?

Correct answer: B

Rationale: When the woman stacks the two bookcases together, the total height will be the sum of the heights of the two bookcases. Therefore, 14 inches (larger bookcase) + 8 inches (smaller bookcase) = 22 inches. So, the stacked bookcases will be 22 inches tall. Choice A is incorrect because it does not account for the total height of both bookcases. Choice C and D are incorrect as they are higher than the combined height of the two bookcases.

2. A patient was taking 310 mg of an antidepressant daily. The doctor reduced the dosage by 1/5, and then reduced it again by 20 mg. What is the patient’s final dosage?

Correct answer: C

Rationale: To calculate the final dosage, first find 1/5 of 310 mg, which is 62 mg, and subtract it from the original dosage. This gives 310 mg - 62 mg = 248 mg. Then, subtract an additional 20 mg from the result to get the final dosage: 248 mg - 20 mg = 228 mg. Therefore, the patient's final dosage is 228 mg. Choice A (20 mg) is incorrect because it only considers the second reduction of 20 mg and misses the initial reduction by 1/5. Choice B (42 mg) is incorrect as it miscalculates the reduction amounts. Choice D (248 mg) is incorrect as it does not account for the second reduction of 20 mg.

3. Which of the following is the correct simplification of the expression below? 12 ÷ 3 × 4 - 1 + 23

Correct answer: C

Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 ÷ 3) × 4 - 1 + 23 = 4 × 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.

4. In a class of 48 students, there are 22 boys and 26 girls. What is the ratio of girls to boys in the class?

Correct answer: B

Rationale: To find the ratio of girls to boys, divide the number of girls by the number of boys: 26/22 = 13/11. Therefore, the correct ratio is 13:11. Choice A is incorrect as it includes an extra '00'. Choice C is incorrect as it reverses the order of girls to boys. Choice D is incorrect as it reverses the order and provides the ratio of boys to girls.

5. Which of the following is NOT a way to write 40 percent of N?

Correct answer: B

Rationale: The correct answer is B: N/40. To find 40% of N, you multiply N by 0.4, so 0.4N is the correct representation. Choice B, N/40, is incorrect because dividing N by 40 does not give you 40% of N. Choice C, 2/5 N, is equivalent to 40% of N since 2/5 is the same as 40% when simplified. Choice D, 40N/100, is also correct since 40% can be represented as 40/100, which simplifies to 0.4, making 40N/100 another valid way to write 40% of N.

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