ATI TEAS 7
ATI TEAS 7 Version 1 Mathematics Questions
Extract:
Question 1 of 5
Translate the phrase 'Five less than twice the number' into a mathematical expression.
Correct Answer: B
Rationale: To translate 'Five less than twice the number' into a mathematical expression, you first calculate twice the number (2x) and then subtract 5 from it. This gives you 2x-5. Therefore, choice B, 2x-5, accurately represents the mathematical expression for 'Five less than twice the number.' The phrase 'Five less than' implies subtraction, and 'twice the number' is represented by 2x. Thus, when you subtract 5 from twice the number, the correct expression is 2x-5.
Extract:
Question 2 of 5
A baker is using a cookie recipe that calls for 2 1/4 cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
Correct Answer: C
Rationale: To determine how much flour is needed for 90 cookies using the same recipe, start by calculating the amount of flour required per cookie in the original recipe. The original recipe uses 2 1/4 cups of flour for 36 cookies. To find the amount per cookie, divide the total flour by the number of cookies: 2 1/4 / 36 = 1/16 cup per cookie. Next, multiply the amount per cookie by the new number of cookies: 1/16 * 90 = 5 5/8 cups. Therefore, the baker will need 5 5/8 cups of flour to make 90 cookies following the same recipe.
Question 3 of 5
Solve the equation 2(4x + 3) = 7x + 5 for x. Which of the following is correct?
Correct Answer: A
Rationale: To solve the equation, first distribute the 2 on the left side: 8x + 6 = 7x + 5. Next, move all terms involving x to one side by subtracting 7x from both sides: x + 6 = 5. Then, subtract 6 from both sides to isolate x: x = -1. Therefore, the correct answer is A, -1, as it satisfies the equation 2(4*(-1) + 3) = 7*(-1) + 5. Substituting x = -1 back into the original equation gives 2(4*(-1) + 3) = 7*(-1) + 5, which simplifies to -2 + 6 = -7 + 5, and finally to 4 = -2, proving that -1 is indeed the correct solution.
Question 4 of 5
One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all the floors, how much ammonia is needed?
Correct Answer: C
Rationale: To calculate the total amount of ammonia needed, you must multiply the amount of ammonia required for one gallon of solution by the total number of gallons needed. With 6 oz of ammonia per gallon, multiplying 6 oz by 120 gallons gives you a total of 720 oz of ammonia needed. Therefore, 720 oz of ammonia are required to clean all the floors.
Question 5 of 5
A student performs the following estimations: 24 + 190 = 210, 151 + 319 = 470, 974 + 1022 = 1990. Based on these estimations, what is the student's estimate of 452 + 5017?
Correct Answer: B
Rationale: The student's pattern involves rounding numbers to the nearest tens or hundreds to simplify calculations. By analyzing the given examples, it is evident that the student tends to round numbers up or down, leading to slight variations from the exact sum. Applying the same strategy to 452 and 5017, we can estimate 450 + 5020 = 5470. Therefore, choice B is the correct estimate for the sum of 452 + 5017.