any number to the power of 1 is

ATI TEAS 7

Practice Math TEAS TEST

1. What is any number raised to the power of 1?

A. Itself
B. One
C. Zero
D. The number multiplied by 2

Correct answer: A

Rationale: The correct answer is A: 'Itself.' When any number is raised to the power of 1, it remains unchanged and is equal to itself. This is a fundamental property of exponents. Choice B, 'One,' is incorrect because raising a number to the power of 1 does not result in the answer being 1. Choice C, 'Zero,' is incorrect as any non-zero number raised to the power of 1 is itself, not zero. Choice D, 'The number multiplied by 2,' is incorrect because raising a number to the power of 1 does not involve multiplying it by 2.

2. After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided four options for donors. What percentage of the funds was donated to support construction costs?

A. 49%
B. 23%
C. 18%
D. 10%

Correct answer: B

Rationale: The correct answer is B (23%). The information was obtained from the pie chart which indicated that 23% of the funds were allocated to support construction costs. Choice A (49%), Choice C (18%), and Choice D (10%) are incorrect as they do not reflect the accurate percentage designated for construction costs according to the data provided.

3. A dry cleaner charges $3 per shirt, $6 per pair of pants, and an extra $5 per item for mending. Annie drops off 5 shirts and 4 pairs of pants, 2 of which need mending. Assuming the cleaner charges an 8% sales tax, what will be the amount of Annie’s total bill?

A. $45.08
B. $49.00
C. $52.92
D. $88.20

Correct answer: C

Rationale: To determine the total cost before tax, calculate: 5 shirts × $3/shirt + 4 pants × $6/pair of pants + 2 items mended × $5/item mended = $49. Now, multiply this amount by 1.08 to include the 8% sales tax: $49 × 1.08 = $52.92. Therefore, Annie's total bill will be $52.92. Choice A, $45.08, is incorrect as it does not include the correct calculation for the total bill. Choice B, $49.00, is wrong because it is the total cost before tax and does not consider the added sales tax. Choice D, $88.20, is incorrect as it does not accurately calculate the total bill including the sales tax.

4. Given a double bar graph, which statement is true about the distributions of Group A and Group B?

A. Group A is negatively skewed, Group B is normal.
B. Group A is positively skewed, Group B is normal.
C. Group A is positively skewed, Group B is neutral.
D. Group A is normal, Group B is negatively skewed.

Correct answer: B

Rationale: The correct answer is B. In statistical terms, a positively skewed distribution means that the tail on the right side of the distribution is longer or fatter than the left side, indicating more high values. Therefore, Group A is positively skewed. Conversely, an approximately normal distribution, also known as a bell curve, is symmetrical with no skewness. Hence, Group B is normal. Choices A, C, and D are incorrect because they do not accurately describe the skewness of Group A and the normal distribution of Group B as depicted in a double bar graph.

5. What is an equivalent fraction?

A. A fraction that looks different but represents the same value
B. A fraction that is smaller than another fraction
C. A fraction that is larger than another fraction
D. A fraction that has the same numerator as another fraction

Correct answer: A

Rationale: An equivalent fraction is a fraction that may look different in terms of its numerator and denominator but still represents the same value or quantity. This means that when you simplify or expand a fraction, its value remains unchanged. Choice B and C are incorrect because equivalent fractions are not determined by being smaller or larger than another fraction; it is about representing the same quantity. Choice D is incorrect because equivalent fractions may have different numerators as long as the ratio between the numerator and denominator remains the same.