Nokea
Which of the following expressions represents the sum of three times a number and eight times another number?
- A. 3x + 8x
- B. 3x + 8y
- C. 8x - 3y
- D. 3x - 8y
Correct Answer: B
Rationale: To find the sum of three times a number and eight times another number, you need to multiply each number by its respective factor. Three times a number is represented by 3x, and eight times another number is represented by 8y. When adding these two terms together, the correct expression is 3x + 8y. Therefore, choice B is the correct answer as it accurately represents the sum of three times a number and eight times another number.
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Simplify the expression (2(3 + 5 - 3)) / (12 + 2). Which of the following is correct?
- A. 6
- B. 8
- C. 12
- D. 1
Correct Answer: B
Rationale: To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, solve the subtraction inside the parentheses: 5 - 3 = 2. Then, simplify the expression to get (2(3 + 2)) / 14 = (2(5)) / 14 = 10 / 14 = 5 / 7 ≈ 0.71. Since 8 is the closest whole number to 0.71, the correct answer is B, 8.
If X represents the width of a rectangle and the length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of X?
- A. 3x - 4
- B. 4x - 3
- C. 4 - 3x
- D. 3 - 4x
Correct Answer: A
Rationale: To determine the expression for the length of the rectangle in terms of X, we need to consider that the length is four less than three times the width. This can be mathematically represented as 3 times X minus 4, which simplifies to 3x - 4 (choice A). Therefore, choice A correctly represents the length of the rectangle in terms of X, making it the correct answer.
A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective? 2 packs of Orange and 1 pack of Cream Soda; 2 packs of Root Beer and 1 pack of Cream Soda; 3 packs of Orange; 5 packs of Cream Soda.
- A. 2 packs of Orange and 1 pack of Cream Soda
- B. 2 packs of Root Beer and 1 pack of Cream Soda
- C. 3 packs of Orange
- D. 5 packs of Cream Soda
Correct Answer: A
Rationale: Option A, 2 packs of Orange and 1 pack of Cream Soda, provides 60 drinks for $23, resulting in the lowest cost per drink. Since the consumer needs a minimum of 50 soft drinks for the picnic, this combination offers the most cost-effective solution to meet the requirement within the specified budget. Choosing this combination allows the consumer to have a surplus of 10 drinks while keeping the cost per drink at a minimum, making it the optimal choice for the consumer's needs.
A person weighed themselves at 180 lb. Three months later, they weighed themselves at 160 lb. What is the percentage of weight the person lost over 3 months? (Round to the nearest percent)
- A. 11%
- B. 20%
- C. 9%
- D. 13%
Correct Answer: A
Rationale: To calculate the percentage of weight lost, subtract the final weight from the initial weight: 180 lb - 160 lb = 20 lb. Next, divide the weight lost by the initial weight: 20 lb / 180 lb ≈ 0.1111. To express this as a percentage, multiply by 100: 0.1111 * 100 = 11.11%, which rounds to 11% when rounded to the nearest percent. Therefore, the person lost 11% of their weight over the three months, making choice A the correct answer.
A temporary gauge reads 95F. Which of the following is the correct conversion to degrees Celsius ( Note: C = 5/9 (F = 32))
- A. 21° C
- B. 113° C
- C. 63° C
- D. 35° C
Correct Answer: D
Rationale: Using the formula C = 5/9(F - 32): 95F - 32 = 63; 63 × 5/9 ? 35C.