ATI TEAS 7
TEAS Test Math Prep
1. 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.
2. Solve this equation: 2x+8=0
- A. -4
- B. 3
- C. 5
- D. 0
Correct answer: A
Rationale: To solve 2 ๐ฅ + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 ๐ฅ = โ 8 2x=โ8 Divide both sides by 2: ๐ฅ = โ 8 2 = โ 4 x= 2 โ8 โ =โ4 Therefore, the solution is ๐ฅ = โ 4 x=โ4.
3. What is the overall median of Dwayne's current scores: 78, 92, 83, 97?
- A. 19
- B. 85
- C. 83
- D. 87.5
Correct answer: B
Rationale: To find the median of a set of numbers, first arrange the scores in ascending order: 78, 83, 92, 97. Since there is an even number of scores, we find the median by taking the average of the two middle values. In this case, the middle values are 83 and 92. Calculating (83 + 92) / 2 = 85, we determine that the overall median of Dwayne's scores is 85. Choice A (19) is incorrect as it does not correspond to any value in the given set of scores. Choice C (83) is the median of the original set but not the overall median once arranged. Choice D (87.5) is the average of all scores but not the median.
4. Solve the following: 4 x 7 + (25 โ 21)ยฒ
- A. 512
- B. 36
- C. 44
- D. 22
Correct answer: B
Rationale: First, solve the expression inside the parentheses: 25 โ 21 = 4 25โ21=4 Then, square the result from the parentheses: 4 2 = 16 4 2 =16 Perform the multiplication: 4 ร 7 = 28 4ร7=28 Finally, add the results: 28 + 16 = 44 28+16=44
5. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jimโs house and gives him 6 of his apples. He then uses ยพ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?
- A. 4
- B. 6
- C. 2
- D. 1
Correct answer: D
Rationale: Xavier starts with 20 apples. He gives half of his apples to his sister Emma, which is 20 รท 2 = 10 apples, leaving him with 10 apples. Then, he gives 6 apples to his neighbor Jim, leaving him with 10 - 6 = 4 apples. Using ยพ of his remaining 4 apples for the pie, he uses 3/4 x 4 = 3 apples. Therefore, he has 4 - 3 = 1 apple left at the end of the day. Choice D, 1 apple, is the correct answer. Choices A, B, and C are incorrect because Xavier ends up with 1 apple remaining, not 4, 6, or 2.
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