Free ATI TEAS 7 Math Practice Test

Question 1

A baker is using a cookie recipe that calls for 2 ? cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?

Your Answer: Option(s)

Correct Answer: Option(s) B

Rationale

The baker will need 6 ¾ cups of flour to make 90 cookies using the same recipe.

This is determined by setting up a proportion based on the original recipe which calls for 2 ¾ cups of flour for 36 cookies. Accordingly, the baker would need more flour to bake a larger number of cookies.

A) 5 ¾ cups
This quantity of flour would not be sufficient to make 90 cookies based on the original recipe. The recipe calls for 2 ¾ cups of flour for 36 cookies, so the amount of flour needed increases proportionally with the number of cookies. Hence, 5 ¾ cups would not yield 90 cookies.

C) 4 ¾ cups
This quantity of flour is also not enough to make 90 cookies. Using the original recipe as a guide, 4 ¾ cups of flour would yield fewer than 90 cookies. Therefore, this answer is not correct.

D) 10 ¾ cups
This answer suggests an excess quantity of flour. The original recipe indicates a requirement of 2 ¾ cups of flour for 36 cookies. Using this proportion, 10 ¾ cups would result in a significantly higher number of cookies than 90, indicating that this quantity is more than what's needed.

Conclusion
Proportional relationships are important in scaling up or down a recipe. Given that the original recipe calls for 2 ¾ cups of flour to yield 36 cookies, a simple proportion can be used to determine the required amount of flour for a different number of cookies. In this case, to make 90 cookies, the baker would need 6 ¾ cups of flour. The other choices either fall short of or exceed the required amount of flour, making them incorrect.

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Question 2

Translate the phrase 'Five less than twice the number' into a mathematical expression.

Your Answer: Option(s)

Correct Answer: Option(s) B

Rationale

2x-5 is the mathematical expression that translates the phrase 'Five less than twice the number'.

In mathematics, the phrase 'Five less than twice the number' means we first multiply a number by two (twice the number) and then subtract five from the result. This operation can be represented as 2x-5, where x stands for the number.

A) 5x-2
This expression represents 'Two less than five × the number', not 'Five less than twice the number'. In this expression, the number is first multiplied by five (five × the number) and then two is subtracted from it, which is different from the original phrase.

B) 2x-5
The mathematical expression 2x-5 translates the phrase 'Five less than twice the number'. The term 'twice the number' is represented by '2x' and 'Five less than' is represented by '-5'. The expression is read as 'two × x, minus five', which matches the phrase.

C) 2-5x
This expression represents 'Two less than five × the number', not 'Five less than twice the number'. In this expression, the number is first multiplied by five (five × the number), and then subtracted from two, changing the order of operations from the original phrase.

D) 5-2x
This expression represents 'Five less than two × the number', not 'Five less than twice the number'. In this expression, two is multiplied by the number (two × the number) and then subtracted from five, which again changes the order of operations from the original phrase.

Conclusion
In the given phrase 'Five less than twice the number', 'twice the number' translates to '2x' and 'Five less than' translates to '-5'. Therefore, the correct mathematical expression is 2x-5. All other expressions either misinterpret the phrase or change the order of operations.

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Question 3

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?

Your Answer: Option(s)

Correct Answer: Option(s) A

Rationale

The estimated gratuity amount is $6.00.

The couple wants to leave a 15% tip on a bill of $38.40. To calculate this, you multiply the total bill by 0.15 (representing 15%). This results in a gratuity of approximately $5.76. This amount, when rounded to the nearest whole dollar, gives an estimated gratuity of $6.00.

A) $6.00
The calculation of 15% of $38.40 yields a result of approximately $5.76. This amount, when rounded to the nearest whole dollar, becomes $6.00. Therefore, choice A) is correct.

B) $5.00
While $5.00 is a reasonable tip for many restaurant bills, it is less than 15% of $38.40. Therefore, choice B) is incorrect.

C) $4.00
$4.00 is significantly less than 15% of $38.40. Therefore, choice C) does not accurately represent the desired gratuity.

D) $7.00
Although $7.00 is more than the exact 15% of $38.40, it is not the closest estimation. The calculated gratuity of $5.76 is closer to $6.00 than $7.00. Therefore, choice D) is not the most accurate estimation.

Conclusion
When calculating a 15% gratuity on a bill of $38.40, the result is approximately $5.76. When this amount is rounded to the nearest whole dollar for estimation purposes, the result is $6.00. Therefore, the best estimate for a 15% gratuity on a bill of $38.40 is $6.00. The other options represent gratuity amounts that are either less or more than the desired 15% of the total bill.

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Question 4

After spending 80% of her $60, Lana is left with how much money when she invests the remaining amount and earns an 80% profit?

Your Answer: Option(s)

Correct Answer: Option(s) A

Rationale

Lana is left with $21.60.

After spending 80% of her $60, Lana is left with $12. When she invests this remaining amount and earns an 80% profit, she makes an additional $9.60 ($12*0.8), which when added to the remaining $12, gives a total of $21.60.

A) $21.60
This is the correct answer. Lana spends 80% of her $60, leaving her with $12. When she invests this remaining amount and earns an 80% profit, she makes an additional $9.60 ($12*0.8). So, her total money after the investment is $12 + $9.60 = $21.60.

B) $9.60
This option only considers the profit that Lana earns from her investment and does not include the initial investment amount that she had left after spending 80% of her $60.

C) $86.40
This amount is incorrect as it exceeds Lana's initial amount of $60. After spending 80% of her $60, Lana is left with $12. When she invests this remaining amount and earns an 80% profit, she makes an additional $9.60, not $86.40.

D) $60.00
This option inaccurately suggests that Lana neither spent any of her money nor made any profit from her investment, which contradicts the information provided in the question.

Conclusion
Lana initially had $60. After spending 80% of this, she was left with $12. She then invested this amount and made an 80% profit, which resulted in an additional $9.60. Therefore, the total amount she had after investing and making a profit was $21.60.

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Question 5

Which of the following percentages is equivalent to the \fraction 5/8?

Your Answer: Option(s)

Correct Answer: Option(s) C

Rationale

62.50% is equivalent to the \fraction 5/8.

To convert a \fraction to a percentage, you divide the numerator by the denominator and then multiply the result by 100. For the \fraction 5/8, this calculation yields 62.50%.

A) 160%
This percentage is incorrect. The process of converting a \fraction to a percentage involves dividing the numerator by the denominator and then multiplying the result by 100. If we apply this to the \fraction 5/8, we get 62.50%, not 160%.

B) 65.25%
This percentage is incorrect. When you convert the \fraction 5/8 to a percentage, the result is 62.50%. 65.25% would represent a different \fraction.

C) 62.50%
This is the correct percentage. When the \fraction 5/8 is converted to a percentage, the result is 62.50%. This conversion is performed by dividing the numerator (5) by the denominator (8) and then multiplying the result by 100 to get the percentage.

D) 1.60%
This percentage is incorrect. The \fraction 5/8 converts to 62.50% when calculated correctly by dividing the numerator by the denominator and multiplying by 100. The percentage 1.60% would represent a much smaller \fraction.

Conclusion
The correct conversion of the \fraction 5/8 to a percentage is 62.50%. Other percentages such as 160%, 65.25%, and 1.60% do not represent the correct conversion of this \fraction. Converting \fractions to percentages involves dividing the numerator by the denominator and then multiplying the result by 100.

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The baker will need 6 ¾ cups of flour to make 90 cookies using the same recipe.

2x-5 is the mathematical expression that translates the phrase 'Five less than twice the number'.

The estimated gratuity amount is $6.00.

Lana is left with $21.60.

62.50% is equivalent to the \fraction 5/8.

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