ATI TEAS 7
TEAS Test Practice Math Questions
Question 1 of 5
Prizes are to be awarded to the best pupils in each class of an elementary school. The number of students in each grade is shown in the table, and the school principal wants the number of prizes awarded in each grade to be proportional to the number of students. If there are twenty prizes, how many should go to fifth-grade students? Grade 1 2 3 4 5 Students 35 38 38 33 36
Correct Answer: C
Rationale:
To determine how many prizes should be awarded to 5th-grade students, we need to set up the proportion of the number of 5th-grade students to the total number of students in the school. The total number of students is 35 + 38 + 38 + 33 + 36 = 180 students.
To find the proportion of 5th-grade students, it would be 36/180 = 0.2. Since there are 20 prizes to be awarded, multiplying 0.2 by 20 gives us 4, which means 4 prizes should go to the 5th-grade students.
Therefore, the correct answer is 4.
Choice A (5) is incorrect as it does not align with the proportional distribution.
Choice B (4) is the correct answer, as calculated.
Choice C (7) is incorrect as it exceeds the total number of prizes available.
Choice D (3) is incorrect as it does not match the proportional distribution based on the number of students.
Question 2 of 5
The cost, in dollars, of shipping x computers to California for sale is 3000 + 100x. The amount received when selling these computers is 400x dollars. What is the least number of computers that must be shipped and sold so that the amount received is at least equal to the shipping cost?
Correct Answer: B
Rationale:
To find the least number of computers that must be shipped and sold so that the amount received is at least equal to the shipping cost, we set up the inequality 400x >= 3000 + 100x. Simplifying this inequality gives 300x >= 3000, and dividing by 300 results in x >= 10.
Therefore, at least 15 computers must be shipped and sold to cover the shipping cost, making choice B the correct answer.
Choices A, C, and D are incorrect as they represent numbers less than 15, which would not cover the shipping cost.
Question 3 of 5
Bob decides to go into business selling lemonade. He buys a wooden stand for $45 and sets it up outside his house. He figures that the cost of lemons, sugar, and paper cups for each glass of lemonade sold will be 10¢. Which of these expressions describes his cost for making g glasses of lemonade?
Correct Answer: A
Rationale: The cost for making g glasses of lemonade includes the initial cost of the stand ($45) plus 10¢ for each glass of lemonade sold.
Therefore, the expression that represents the cost for making g glasses of lemonade is $45 + $0.1 g, which matches option A.
Choice B, $44.90 g, is incorrect as it does not account for the initial stand cost of $45.
Choice C, $44.90 g + 10¢, is incorrect because it does not include the initial stand cost and incorrectly adds an extra 10¢ for every glass.
Choice D, $90, is incorrect as it does not consider the variable cost of 10¢ per glass and only represents the initial stand cost.
Question 4 of 5
Sally wants to buy a used truck for her delivery business. Truck A is priced at $450 and gets 25 miles per gallon. Truck B costs $650 and gets 35 miles per gallon. If gasoline costs $4 per gallon, how many miles must Sally drive to make truck B the better buy?
Correct Answer: D
Rationale:
To determine the breakeven point where Truck B becomes the better buy, we need to compare the total costs for both trucks. For Truck A:
Total cost = $450 + (miles / 25) * $4. For Truck B:
Total cost = $650 + (miles / 35) * $4.
To find the point where Truck B is the better buy, set the two total cost equations equal to each other and solve for miles. By solving this equation, we find that Sally must drive 4375 miles for Truck B to be the better buy.
Choice A (500) is too low,
Choice B (7500) is too high, and
Choice C (1750) does not represent the breakeven point where Truck B becomes more cost-effective.
Question 5 of 5
To begin making her soup, Jennifer added four containers of chicken broth with 1 liter of water into the pot. Each container of chicken broth contains 410 milliliters. How much liquid is in the pot?
Correct Answer: B
Rationale: Each container of chicken broth contains 410 milliliters. Jennifer added four containers, which totals 4 * 410 = 1640 milliliters of chicken broth. She then added 1 liter of water, equivalent to 1000 milliliters. Combining all the liquids, we get 1640 + 1000 = 2640 milliliters, which equals 2.64 liters.
Choice A is incorrect because it miscalculates the total liquid volume.
Choice C is incorrect as it greatly overestimates the liquid amount.
Choice D is incorrect as it also overestimates the liquid content in the pot.