ATI TEAS 7
TEAS Test Math Questions Questions
Question 1 of 5
What is the difference between two negative numbers?
Correct Answer: B
Rationale: The correct answer is B: 'Positive number.' When you subtract one negative number from another negative number, the result can be a positive number. For example, the difference between -5 and -3 is 2, which is a positive number.
Choice A, 'Negative number,' is incorrect because the result of subtracting two negative numbers can be positive.
Choice C, 'Zero,' is incorrect because the difference between two negative numbers is not always zero.
Choice D, 'Not enough information,' is incorrect because there is enough information to determine that the difference between two negative numbers can be a positive number.
Question 2 of 5
Solve the system of equations. Equation 1: 2x + y = 0 Equation 2: x - 2y = 8
Correct Answer: B
Rationale: From Equation 1: 2x + y = 0. Solve for y: y = -2x. Substitute y = -2x into Equation 2: x - 2(-2x) = 8. Simplify to x + 4x = 8, then 5x = 8, and x = 8 · 5 = 1.6. Substitute x = 1.6 back into y = -2x to find y = -3.2.
Therefore, one solution is (1.6, -3.2).
To find the second solution, use -1.6 for x to get (-1.6, 3.2). Thus, the correct answer is B, representing the solutions (1.8, -3.6) and (-1.8, 3.6).
Choices A, C, and D contain incorrect values that do not match the solutions derived from solving the system of equations.
Question 3 of 5
Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for π.
Correct Answer: B
Rationale: The formula for the area of a full circle is calculated as Area = π (radius²). When finding the area of half a circle, we multiply by 0.5. Thus, the formula becomes Area = 0.5 π (radius²). Given that the radius of the circular garden is 11.5 feet, the calculation using π = 3.14 is as follows: Area = 0.5 3.14 (11.5²) = 0.5 3.14 132.25 = 0.5 415.27 = 207.64 square feet.
Therefore, the correct answer is B.
Choices A, C, and D are incorrect because they do not reflect the correct calculation for finding the area of half a circular garden with a radius of 11.5 feet.
Question 4 of 5
What is the mode of the data set: 2, 3, 3, 4, 4, 4, 5?
Correct Answer: C
Rationale: The mode of a data set is the value that appears most frequently. In this data set (2, 3, 3, 4, 4, 4, 5), the number 4 appears three times, which is more frequent than any other number in the set.
Therefore, the correct answer is 4.
Choice A (2), B (3), and D (5) do not appear as frequently as 4 in the data set, so they are not the mode.
Question 5 of 5
Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?
Correct Answer: D
Rationale:
To find the fourth vertex of a parallelogram, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length.
Therefore, we can determine the fourth vertex by extending the line formed by the first two points. If we extend the line from (1, 2) to (3, 4), we find that it has a slope of 1. This means that extending the line from (3, 4) by the same slope will give us the fourth vertex. By adding 2 units to both x and y coordinates of (5, 6), we get (7, 8) as the coordinates of the fourth vertex.
Therefore, the correct answer is (7, 8).
Choices A, B, and C are incorrect as they do not satisfy the properties of a parallelogram and the given coordinate points.