2024 SAT Test Math Practice 17

The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.

1. An advertisement for Royal Rat Rations states: “7 out of 8 veterinarians recommend Royal Rat Rations for your fancy rat.” No other information about the data is provided by the company.

Based on this data, which of the following inferences is most valid?

A. Royal Rat Rations provides the best nutrition for fancy rats.
B. If you do not feed your rat Royal Rat Rations, your rat will be unhealthy.
C. Only one veterinarian does not recommend Royal Rat Rations for your fancy rat.
D. Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat.

Correct Answer: D

Answer Explanation:

You do not know how the survey is conducted, nor do you know how many veterinarians were surveyed (it may be the case that only 8 were surveyed). Therefore, you cannot infer that the survey accurately measures all veterinarians’ beliefs about Royal Rat Rations. Choice (A) is not supported. First, you do not know what veterinarians believe in general, and second veterinarians may be recommending Royal Rat Rations for a reason other than its nutrition. Choice (B) is similarly not supported. Besides not knowing veterinarians’ beliefs, this choice assumes that no other rat food is acceptable. Choice (C) is not supported because you do not know the sample size of the survey, nor is there any indication that there is only one veterinarian who does not recommend Royal Rat Rations. Choice (D) is the credited response. You know the opinions only of the veterinarians surveyed by Royal Rat Rations.

2. $ \frac{1}{2} $t + 4 = $ \frac{3}{4} $t – 5

In the equation above, what is the value of t ?

A. 4
B. 9
C. 18
D. 36

Correct Answer: D

Answer Explanation:

$ \frac{1}{2} $t + 4 = $ \frac{3}{4} $t – 5 becomes 0.5t + 4 = 0.75t – 5. Subtract 0.5t from both sides to get 4 = 0.25t – 5, and then add 5 to both sides. This results in 9 = 0.25t. Use a calculator to divide! t = 36; therefore, the correct answer is (D).

3. Dogs need 8.5 to 17 ounces of water each day for every 10 pounds of their weight. Everett has two dogs-Ringo is a 35-pound black lab mix, and Elvis is a 55-pound beagle. Which of the following ranges represents the approximate total number of ounces of water, w, that Elvis and Ringo need in a week?

A. 77 ≤ w ≤ 153
B. 109 ≤ w ≤ 218
C. 536 ≤ w ≤ 1,071
D. 765 ≤ w ≤ 1,530

Correct Answer: C

4. Priya is planning to send her favorite dry rub recipe to a friend who lives in France. Before sending the recipe, Priya wants to convert the American customary units in the instructions into metric units so that her friend will easily be able to understand the measurements. If the recipe calls for a ratio of four ounces of paprika to every seven ounces of chili powder, and if Priya’s friend is planning to make a large batch of dry rub with 91 total ounces of chili powder, approximately how many total grams of paprika and chili powder will the recipe require? (1 ounce = 28.3 grams)

A. 4,047 grams
B. 4,521 grams
C. 4,925 grams
D. 5,149 grams

Correct Answer: A

Answer Explanation:

In order to answer this question, you need to deal with the ratio as well as the unit conversion. For the large batch of dry rub, Priya’s friend is planning to use 91 ounces of chili powder. Since the paprika and the chili powder must be used in a ratio of 4 to 7, you can set up a proportion to determine how much paprika is needed: $ \frac{4}{7}=\frac{x}{91} $ . Cross-multiply and solve for x to determine that x (i.e., paprika) = 52 ounces. So you have 52 ounces of paprika and 91 ouncesof chili powder for a total of 143 ounces. Multiply that by your conversion number, 28.3, to determine that this is equivalent to 4,046.9 grams, which is closest to (A).

5. Luciano measured the amount of water that evaporated over a period of time from a container holding w ounces of water, where w is greater than 12. By the end of the first day, the cup had lost 2 ounces of water. By the end of the 7th day, the cup had lost an additional 8 ounces of water. By the end of the 11th day, the cup had lost half of the water that remained after the 7th day. Which of the following represents the remaining amount of water, in ounces, in Luciano’s container at the end of the 11th day?

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