a class of 48 students has 22 boys and 26 girls what is the ratio of girls to boys in the class

ATI TEAS 7

TEAS Practice Test Math

1. In a class of 48 students, there are 22 boys and 26 girls. What is the ratio of girls to boys in the class?

A. 26:11
B. 13:11
C. 13:22
D. 11:13

Correct answer: B

Rationale: To find the ratio of girls to boys, divide the number of girls by the number of boys: 26/22 = 13/11. Therefore, the correct ratio is 13:11. Choice A is incorrect as it includes an extra '00'. Choice C is incorrect as it reverses the order of girls to boys. Choice D is incorrect as it reverses the order and provides the ratio of boys to girls.

2. Simplify the following expression: 7 + 16 - (5 + 6 × 3) - 10 × 2

A. -42
B. -20
C. 23
D. 20

Correct answer: B

Rationale: Start by solving the multiplication and parentheses. The answer is -20.

3. What are all the factors of 12?

A. 12, 24, 36
B. 1, 2, 4, 6, 12
C. 12, 24, 36, 48
D. 1, 2, 3, 4, 6, 12

Correct answer: D

Rationale: The factors of 12 are numbers that divide evenly into 12 without leaving a remainder. The correct factors of 12 are 1, 2, 3, 4, 6, and 12. Choice A (12, 24, 36) is incorrect as only 12 is a factor of 12. Choice B (1, 2, 4, 6, 12) includes all the correct factors of 12. Choice C (12, 24, 36, 48) is incorrect as 24, 36, and 48 are not factors of 12.

4. What is the equation that describes the relationship between x and y in the table below: x = 2, y = 6; x = 3, y = 9; x = 4, y = 12?

A. y = 3x
B. x = 3y
C. y = x/3
D. y = x + 3

Correct answer: A

Rationale: The correct answer is y = 3x. By examining the table provided, we can see that for each increase of 1 in x, y increases by 3. This consistent pattern indicates that y is three times the value of x, leading to the equation y = 3x. Choices B, C, and D do not match the pattern observed in the table and are therefore incorrect.

5. Which of the following describes a graph that represents a proportional relationship?

A. The graph has a slope of 2,500 and a y-intercept of 250
B. The graph has a slope of 1,500 and a y-intercept of -150
C. The graph has a slope of 2,000 and a y-intercept of 0
D. The graph has a slope of -1,800 and a y-intercept of -100

Correct answer: C

Rationale: A graph that has a y-intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to or subtracted from the term containing the slope. In this case, choice C is correct as it has a y-intercept of 0, which aligns with the characteristics of a proportional relationship. Choices A, B, and D have non-zero y-intercepts, indicating a starting value other than 0, which does not represent a proportional relationship.