ATI TEAS 7
ATI TEAS 7 Version 1 Mathematics Questions
Extract:
Question 1 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.
Extract:
Question 2 of 5
How many feet are in 6 yards?
Correct Answer: D
Rationale: To convert yards to feet, remember that 1 yard is equal to 3 feet. To find how many feet are in 6 yards, you multiply 6 by 3, which equals 18 feet. Therefore, the correct answer is 18 feet. Understanding this conversion is essential for accurate measurements in various situations such as construction, crafting, or any activity involving distance calculations.
Question 3 of 5
An athlete runs 4 miles in 28 minutes and then changes pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
Correct Answer: A
Rationale: To calculate the average time per mile, we add the total time taken for both parts (28 minutes + 32 minutes = 60 minutes) and divide it by the total distance covered (8 miles). This gives us 60 minutes / 8 miles = 7.5 minutes per mile. Therefore, the correct answer is 7.5 minutes, representing the average time it takes the athlete to run 1 mile.
Question 4 of 5
If a box of 35 syringes costs $560.00, what is the cost for two syringes?
Correct Answer: D
Rationale: To determine the cost for two syringes, you first need to calculate the cost per syringe by dividing the total cost of the box by the total number of syringes in the box: $560.00 � 35 syringes = $16.00 per syringe. Therefore, each syringe costs $16.00. To find the cost of two syringes, you multiply the cost per syringe by 2: $16.00 x 2 = $32.00. Hence, the correct answer is option D, which is $32.00 for two syringes.
Question 5 of 5
Which of the following percentages is equivalent to the fraction 5/8?
Correct Answer: C
Rationale: To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For the fraction 5/8, it equals 0.625 when divided, which when multiplied by 100 results in 62.50%. Therefore, choice C, 62.50%, is the correct percentage equivalent to the fraction 5/8.