Practice Math TEAS TEST

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A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?

  • A. $316
  • B. $431
  • C. $451
  • D. $527
Correct Answer: D

Rationale: To find the original price of the recliner, you need to reverse calculate. Let x be the original price. The sale price is 70% of the original price, and after the additional 25% coupon discount, the consumer pays $237. Setting up the equation: x 0.70 0.75 = 237. Solving this equation, x ≈ $527. Therefore, the original price of the recliner was approximately $527. Choices A, B, and C are incorrect as they do not align with the correct calculation based on the given discounts.

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What is the area of a square that measures 3.1m on each side?

  • A. 12.4m²
  • B. 9.61m²
  • C. 6.2m²
  • D. 9.1m²
Correct Answer: B

Rationale: To find the area of a square, you square the length of one side. In this case, the side length is 3.1m. So, Area = side² = 3.1m 3.1m = 9.61m². Therefore, the correct answer is 9.61m². Choice A (12.4m²) is incorrect as it is the result of multiplying 3.1m by 4 instead of squaring it. Choice C (6.2m²) is incorrect as it is half of the correct answer. Choice D (9.1m²) is incorrect as it is the result of squaring the wrong value (3.1²).

A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?

  • A. $4.00
  • B. $6.00
  • C. $2.50
  • D. $3.00
Correct Answer: D

Rationale: To calculate a 10% tip on a bill of $28.40, you would first find 10% of $28.40, which is $2.84. Since you typically round up when leaving a tip, the estimated gratuity would be $3.00. Option A is incorrect as it is too high for a 10% tip. Option B is incorrect as it is too high. Option C is incorrect as it is too low for a 10% tip. Therefore, the correct answer is $3.00.

Which of the following expressions represents the sum of three times a number and eight times a different number?

  • A. 3x + 8y
  • B. 8x + 3x
  • C. 3x - 8y
  • D. 8x - 3y
Correct Answer: A

Rationale: The correct expression for the sum of three times a number and eight times a different number is given by 3x + 8y. This represents adding three times the variable x (3x) to eight times the variable y (8y). Choice B (8x + 3x) is incorrect as it represents adding eight times x to three times x, which is redundant. Choice C (3x - 8y) is incorrect because it represents subtracting eight times y from three times x, not their sum. Choice D (8x - 3y) is also incorrect as it represents subtracting three times y from eight times x, not their sum.

Which of the following percentages is equivalent to the fraction 3/4?

  • A. 57%
  • B. 7.50%
  • C. 65%
  • D. 75%
Correct Answer: D

Rationale: To convert a fraction to a percentage, you multiply the fraction by 100. In this case, 3/4 * 100% = 75%. Therefore, the correct answer is D. Choice A (57%) is incorrect as it does not represent the fraction 3/4. Choice B (7.50%) is incorrect as it is not the equivalent percentage of 3/4. Choice C (65%) is incorrect as it does not match the percentage value of 3/4.

Which of the following percentages is equivalent to 5 ¼?

  • A. 525%
  • B. 514%
  • C. 5.25%
  • D. 5.14%
Correct Answer: A

Rationale: To convert a mixed number to a decimal, 5 ¼ becomes 5.25. To convert this decimal to a percentage, you multiply it by 100. Therefore, 5.25 100 = 525%. Choice A is correct. Choice B (514%) is incorrect as it does not match the equivalent of 5 ¼. Choice C (5.25%) is the decimal equivalent of 5 ¼, not the percentage. Choice D (5.14%) is a different value and does not represent the percentage equivalent of 5 ¼.

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