twelve less than thrice a number which of the following translates the phrase above into a mathematical expression

ATI TEAS 7

Practice Math TEAS TEST

1. What is the mathematical expression for 'Twelve less than thrice a number'?

A. 3x-12
B. 12-3x
C. 3-12x
D. 12x-3

Correct answer: A

Rationale: The phrase 'thrice a number' translates to 3x, and 'twelve less than' means subtracting 12 from it. Therefore, the correct expression is 3x-12. Choice B, '12-3x', represents '12 less than a number thrice,' which is the opposite of the given phrase. Choice C, '3-12x', does not correctly interpret the phrase provided. Choice D, '12x-3', represents 'a number thrice less than twelve,' which is not the same as the original phrase.

2. Simplify the expression below. Which of the following is correct? 3.45 * 0.53

A. 1.8285
B. 18.285
C. 0.18285
D. 182.85

Correct answer: A

Rationale: To solve 3.45 * 0.53, multiply the numbers to get 1.8285. Therefore, the correct answer is A. Choice B is incorrect because it incorrectly moves the decimal point. Choice C is incorrect as it is a fraction of the correct answer. Choice D is incorrect as it results from an error in moving the decimal point.

3. What is 4 + 5 + 12 + 9?

A. 20
B. 30
C. 40
D. 50

Correct answer: B

Rationale: The correct answer is B: 30. To find the sum, you need to add 4 + 5 + 12 + 9, which equals 30. Choice A (20) is incorrect because it does not account for the correct addition of the numbers provided. Choice C (40) is incorrect as it represents the sum of the numbers incorrectly. Choice D (50) is also incorrect as it is not the sum of the given numbers.

4. A consumer makes a $400 down payment on a television that costs $1,570. Which of the following is the number of months it will take to pay off the television with monthly payments of $100?

A. 12
B. 16
C. 15
D. 11

Correct answer: A

Rationale: After the $400 down payment, the remaining balance is $1,170. With monthly payments of $100, it will take 12 months to pay off the remaining balance. Therefore, the correct answer is 12 months. Choice B (16) is incorrect as it exceeds the required timeframe. Choice C (15) is incorrect as it is close but still one month over the correct timeframe. Choice D (11) is incorrect as it underestimates the time needed to pay off the remaining balance.

5. If a box of 55 syringes costs $660.00, what is the cost of four syringes?

A. $51.00
B. $26.00
C. $32.00
D. $48.00

Correct answer: D

Rationale: To find the cost of one syringe, divide the total cost by the number of syringes: $660.00 ÷ 55 = $12. Therefore, the cost of four syringes is 4 x $12 = $48. Choices A, B, and C are incorrect because they do not correctly calculate the cost per syringe or the total cost of four syringes.