TEAS Test Math Prep

ATI TEAS 7

1. 67 miles is equivalent to how many kilometers to three significant digits?

A. 107 km
B. 106 km
C. 33 km
D. 85 km

Correct answer: A

Rationale: To convert miles to kilometers, the conversion factor is 1 mile ≈ 1.609 kilometers. Therefore, to convert 67 miles to kilometers, you would multiply: 67 miles × 1.609 km/mile = 107.703 km. When rounded to three significant digits, this gives 108 km. Therefore, 67 miles is approximately 108 kilometers. Choice A is correct because it is the closest rounded value to three significant digits. Choices B, C, and D are incorrect as they do not match the calculated conversion of 108 km.

2. In Jim's school, there are 3 girls for every 2 boys. There are 650 students in total. Using this information, how many students are girls?

A. 260
B. 130
C. 65
D. 390

Correct answer: A

Rationale: To find the number of girls in Jim's school, we first establish the ratio of girls to boys as 3:2. This ratio implies that out of every 5 students (3 girls + 2 boys), 3 are girls and 2 are boys. Since there are a total of 650 students, we can divide them into 5 equal parts based on the ratio. Each part represents 650 divided by 5, which is 130. Therefore, there are 3 parts of girls in the school, totaling 3 multiplied by 130, which equals 390. Hence, there are 390 girls in Jim's school. Choice A, 260, is incorrect as it does not consider the correct ratio and calculation. Choice B, 130, is incorrect as it only represents one part of the total students, not the number of girls. Choice C, 65, is incorrect as it ignores the total number of students and the ratio provided.

3. A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?

A. 3:20
B. 4:17
C. 3:02
D. 7:40

Correct answer: B

Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17. Therefore, the correct ratio is 4:17. Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.

4. If , then

A. 1
B. 2
C. 3
D. 4

Correct answer: C

Rationale: If $2x = 6$, then solving for $x$, we have $x = \frac{6}{2} = 3$. So, if $x = 3$, then $x+1 = 3+1 = 4$. Therefore, the value of $x+1$ would be 4.

5. A student gets an 85% on a test with 20 questions. How many answers did the student solve correctly?

A. 15
B. 16
C. 17
D. 18

Correct answer: C

Rationale: To determine the number of questions the student solved correctly, we need to calculate 85% of the total number of questions. This can be done by multiplying the total number of questions by 85%, which is 20 questions x 85% = 20 x 0.85 = 17 questions. Therefore, the student solved 17 questions correctly. Choice A, 15, is incorrect as it does not reflect the correct percentage of questions solved. Choice B, 16, and Choice D, 18, are also incorrect as they do not match the calculation based on the given percentage.