ATI TEAS 7
TEAS Exam Math Practice Questions
Question 1 of 5
A restaurant employs servers, hosts, and managers in a ratio of 9:2:1. If there are 36 total employees, what is the number of hosts at the restaurant?
Correct Answer: C
Rationale:
To find the number of hosts in the restaurant, first, express the ratio algebraically as 9x + 2x + 1x = 36, where x represents the common factor. Combine like terms to get 12x = 36. Solve for x by dividing both sides by 12 to get x = 3.
To find the number of hosts, multiply the coefficient of hosts (2) by x, which equals 6.
Therefore, there are 6 hosts at the restaurant.
Choice A, 3, is incorrect as it represents the number of servers.
Choices B and D are incorrect as they do not correspond to the number of hosts based on the given ratio.
Question 2 of 5
What is the area of a triangle with a base of 10 cm and a height of 7 cm?
Correct Answer: B
Rationale:
To find the area of a triangle, you use the formula A = 1/2 base height. Substituting the given values: A = 1/2 10 cm 7 cm = 35 cm².
Therefore, the correct answer is B.
Choice A (70 cm²) is incorrect as it seems to be the product of the base and height rather than the area formula.
Choice C (140 cm²) is incorrect as it appears to be twice the correct answer, possibly a result of a miscalculation.
Choice D (100 cm²) is incorrect as it does not reflect the correct calculation based on the given base and height values.
Question 3 of 5
Melissa is ordering fencing to enclose a square area of 5625 square feet. How many feet of fencing does she need?
Correct Answer: C
Rationale:
To find the side length of the square, we take the square root of the area: √5625 ft² = 75 ft. The perimeter of a square is 4 times its side length, so the fencing needed is 4 75 ft = 300 ft.
Therefore, Melissa needs 300 feet of fencing to enclose the square area of 5625 square feet. Option A (75 feet) is the side length of the square, not the fencing needed. Option B (150 feet) is half of the correct answer and does not account for all sides of the square. Option D (5,625 feet) is the total area, not the length of fencing required.
Question 4 of 5
A woman's dinner bill comes to $48.30. If she adds a 20% tip, which of the following will be her total bill?
Correct Answer: D
Rationale:
To calculate the total bill after adding a 20% tip, you need to find 120% of the original bill. This is because adding a 20% tip means paying 120% of the bill. So, $48.30 120/100 = $57.96.
Therefore, the correct answer is $57.96.
Choice A ($9.66) is incorrect as it represents only the 20% tip amount.
Choice B ($38.64) is incorrect as it is the original bill amount without the tip.
Choice C ($48.30) is incorrect as it is the original bill amount and does not include the additional 20% tip.
Question 5 of 5
Simplify the expression. What is the value of x? (5/4)x = 20
Correct Answer: D
Rationale:
To solve for x, multiply both sides by the reciprocal of 5/4 to isolate x. (4/5)(5/4)x = (4/5)20; x = 16.
Therefore, the correct answer is 32.
Choice A (8),
Choice B (16), and
Choice C (24) are incorrect as they do not represent the correct value of x obtained after correctly simplifying the expression.