simplify the following expression 4 23 1 16

ATI TEAS 7

TEAS 7 Math Practice Test

1. Simplify the following expression: 4 * (2/3) ÷ 1 * (1/6)

A. 2
B. 3 1/3
C. 4
D. 4 1/2

Correct answer: C

Rationale: To simplify the expression, first convert the mixed numbers into fractions: 4 * (2/3) ÷ 1 * (1/6). This becomes 4 * 2/3 ÷ 1 * 1/6. Next, perform the multiplication and division from left to right: 8/3 ÷ 1 * 1/6 = 8/3 * 1 * 6 = 8/3 * 6 = 16. Therefore, the correct answer is 4. Choice A (2) is incorrect as it does not represent the final simplified expression. Choice B (3 1/3) is incorrect as it does not match the result of simplifying the expression. Choice D (4 1/2) is incorrect as it does not match the result of simplifying the expression.

2. Which unit of measurement is larger, inches or centimeters?

A. Inches are larger
B. Centimeters are larger
C. They are the same size
D. It depends on the measurement

Correct answer: A

Rationale: Inches are larger than centimeters. This is because one inch is equivalent to 2.54 centimeters. Therefore, when comparing the two units, inches are greater in length than centimeters. Choice B is incorrect as centimeters are smaller than inches. Choice C is incorrect as inches and centimeters are not the same size. Choice D is incorrect as the relationship between inches and centimeters is fixed, with inches being larger in general.

3. Jeremy put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches in diameter. When he rolled the bike, the chalk left marks on the sidewalk. Which expression can be used to best determine the distance, in inches, the bike rolled from the first mark to the fourth mark?

A. 3(27π)
B. 4π(27)
C. (27 ÷ 3)π
D. (27 ÷ 4)π

Correct answer: A

Rationale: The distance traveled by the bike in one complete roll of the tire is equal to the circumference, which can be calculated using the formula C = πd, where d is the diameter. Given that the diameter of the bike tire is 27 inches, the circumference is obtained by multiplying the diameter by π. As the tire rolls from the first mark to the fourth mark, it completes three full rotations (one complete roll plus two more). Therefore, the total distance rolled is 3 times the circumference, which results in 3(27π). Choice A is correct. Choice B is incorrect as it incorrectly multiplies the diameter by 4π instead of multiplying the circumference by 4. Choices C and D are incorrect as they involve dividing the diameter by a number, which is not applicable in this context.

4. During week 1, Cameron worked 5 shifts. During week 2, she worked twice as many shifts. During week 3, she added 4 more shifts. How many shifts did Cameron work in week 3?

A. 15 shifts
B. 14 shifts
C. 16 shifts
D. 17 shifts

Correct answer: B

Rationale: To find out how many shifts Cameron worked in week 3, we first determine the shifts worked in weeks 1 and 2. In week 1, Cameron worked 5 shifts. In week 2, she worked twice as many shifts, which is 5 x 2 = 10 shifts. Adding the 4 more shifts in week 3, the total shifts worked in week 3 would be 5 (week 1) + 10 (week 2) + 4 (week 3) = 19 shifts. Therefore, the correct answer is 14 shifts (Option B), not 15 shifts (Option A), 16 shifts (Option C), or 17 shifts (Option D).

5. 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?

A. $316
B. $431
C. $451
D. $527

Correct answer: D

Rationale: To find the original price of the recliner, you need to reverse calculate. Let x be the original price. The sale price is 70% of the original price, and after the additional 25% coupon discount, the consumer pays $237. Setting up the equation: x × 0.70 × 0.75 = 237. Solving this equation, x ≈ $527. Therefore, the original price of the recliner was approximately $527. Choices A, B, and C are incorrect as they do not align with the correct calculation based on the given discounts.