ATI TEAS 7
TEAS Math Practice Test
1. A closet is filled with red, blue, and green shirts. If 1/4 of the shirts are green and 1/3 are red, what fraction of the shirts are blue?
- A. 1/2
- B. 1/3
- C. 5/12
- D. 1/4
Correct answer: C
Rationale: Let the total number of shirts be x. Given that 1/4 of the shirts are green and 1/3 are red, we have Green = x/4 and Red = x/3. To find the fraction of blue shirts, we subtract the fractions of green and red shirts from 1: Blue fraction = 1 - (1/4 + 1/3) = 1 - (3/12 + 4/12) = 1 - 7/12 = 5/12. Therefore, the fraction of blue shirts is 5/12. Choices A, B, and D are incorrect because they do not accurately represent the fraction of blue shirts given the information provided.
2. Simplify (x^2 - y^2) / (x - y)
- A. x + y
- B. x - y
- C. 1
- D. (x + y)/(x - y)
Correct answer: A
Rationale: The expression π₯^2 - π¦^2 is a difference of squares, which follows the identity: π₯^2 - π¦^2 = (π₯ + π¦)(π₯ - π¦). Therefore, the given expression becomes: (π₯^2 - π¦^2) / (π₯ - π¦) = (π₯ + π¦)(π₯ - π¦) / (π₯ - π¦). Since (π₯ - π¦) appears in both the numerator and the denominator, they cancel each other out, leaving π₯ + π¦. Thus, the simplified form of (π₯^2 - π¦^2) / (π₯ - π¦) is π₯ + π¦. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.
3. A car dealershipβs commercials claim that this yearβs models are 20% off the list price, plus they will pay the first 3 monthly payments. If a car is listed for $26,580, and the monthly payments are set at $250, what is the total potential savings?
- A. $1,282
- B. $5,566
- C. $6,066
- D. $20,514
Correct answer: C
Rationale: To calculate the total potential savings: First, find the 20% discount on the list price of $26,580: 0.20 Γ $26,580 = $5,316. Then, determine the savings over the first 3 months of payments: 3 months Γ $250/month = $750. Add the discount and the monthly payment savings to get the total potential savings: $5,316 + $750 = $6,066. Therefore, the correct answer is $6,066. Choice A, $1,282, is incorrect because it does not account for the total savings from both the discount and the monthly payments. Choice B, $5,566, is incorrect as it miscalculates the total savings by excluding the savings from the monthly payments. Choice D, $20,514, is incorrect as it does not consider the discount and only focuses on the list price.
4. A man decided to buy new furniture from Futuristic Furniture for $2,600. Futuristic Furniture gave the man two choices: pay the entire amount in one payment with cash, or pay $1,000 as a down payment and $120 per month for two full years in the financing plan. If the man chooses the financing plan, how much more would he pay?
- A. $1,480 more
- B. $1,280 more
- C. $1,600 more
- D. $2,480 more
Correct answer: B
Rationale: To calculate the total cost with the financing plan, multiply $120 by 24 months to get $2,880. Adding the $1,000 down payment gives a total of $3,880. By comparing this total with the initial cost of $2,600 when paying in cash, the man would pay $1,280 more with the financing plan. Choice A, $1,480 more, is incorrect because it miscalculates the additional amount. Choice C, $1,600 more, is incorrect as it overestimates the extra cost. Choice D, $2,480 more, is incorrect as it significantly overstates the additional payment.
5. Susan bought a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of her outfit?
- A. 139.65
- B. 144.65
- C. 145.55
- D. 144.65
Correct answer: B
Rationale: To find the total cost of Susan's outfit, you need to add the prices of the dress, shoes, and accessories together. $69.99 + $39.99 + $34.67 = $144.65. Therefore, the correct total cost of her outfit is $144.65. Choice A ($139.65) is incorrect as it does not account for the full cost of all items. Choice C ($145.55) is incorrect as it includes an extra amount not part of the given prices. Choice D ($144.65) is incorrect due to a duplication of the correct answer.
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