ATI TEAS 7
ATI TEAS 7 Version 1 Mathematics Questions
Extract:
Question 1 of 5
A customer recently purchased a new car for $48,000, which is $2,000 less than twice the amount the customer's friend paid for their car. What is the amount that the friend paid for their car?
Correct Answer: C
Rationale: Let x be the amount the friend paid for their car. According to the information given, 2x - 2000 = 48000. By solving this equation, we find 2x = 50000, x = 25000. Therefore, the friend paid $25,000 for their car. Thus, option C, $25,000, is the correct answer. The customer paid $48,000, which is $2,000 less than twice the amount the friend paid, confirming the calculation.
Question 2 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.
Question 3 of 5
A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. What is the estimated gratuity amount?
Correct Answer: A
Rationale: To calculate the 15% gratuity on a $38.40 bill, you multiply the bill amount by 0.15 (15%): $38.40 x 0.15 = $5.76. Since gratuity amounts are typically rounded up, the estimated gratuity would be $6.00, making choice A the correct answer. In this case, rounding up to the nearest whole dollar is common practice in gratuity calculations to simplify tipping and ensure a fair amount for the service provided.
Question 4 of 5
After spending 80% of her $60, Lana is left with how much money when she invests the remaining amount and earns an 80% profit?
Correct Answer: A
Rationale: After spending 80% of $60, Lana spends $48, leaving her with $12. When she invests this remaining amount and earns an 80% profit on $12, it amounts to $21.60 ($12 + 80% of $12 = $12 + $9.60 = $21.60). Therefore, Lana now has $21.60 in total.
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.