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. Express 18/5 as a reduced mixed number.

A. 3 3/5
B. 3 1/15
C. 3 1/18
D. 3 1/54

Correct answer: A

Rationale: To convert the improper fraction 18/5 to a mixed number, divide 18 by 5. The quotient is 3 with a remainder of 3, which translates to 3 3/5. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the conversion of 18/5 to a mixed number.

3. On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm². What is the actual area of the room?

A. 30,000 cm²
B. 300 m²
C. 3,000 m²
D. 30 m²

Correct answer: D

Rationale: On a 1:100 scale drawing, each centimeter represents one meter. The area of the room in the scale drawing is 30 cm², which means the actual area is 30 m². Choice A (30,000 cm²) is incorrect as it doesn't account for the scale conversion. Choice B (300 m²) is incorrect because it multiplies the scale area directly by 10,000, which is not the correct conversion. Choice C (3,000 m²) is also incorrect as it applies the scale factor incorrectly.

4. What is the formula to find the circumference of a circle?

A. Circumference = 2πr
B. Circumference = πr²
C. Circumference = 2r²
D. Circumference = r²π

Correct answer: A

Rationale: The correct formula to find the circumference of a circle is C = 2πr, where C represents the circumference and r is the radius of the circle. Choice B, Circumference = πr², represents the formula for the area of a circle rather than the circumference. Choice C, Circumference = 2r², is incorrect as it does not involve π in the formula. Choice D, Circumference = r²π, has the terms reversed compared to the correct formula; the formula should start with the constant (2) multiplied by π, followed by the radius.

5. If , then

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

Correct answer: C

Rationale: If $2x = 6$, then solving for $x$, we have $x = \frac{6}{2} = 3$. So, if $x = 3$, then $x+1 = 3+1 = 4$. Therefore, the value of $x+1$ would be 4.