# New SAT Math Multiple Choice Practice Test 31: No Calculator Section

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15 questions

19 minutes

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1. The USDA recommends that adult females consume 75 mg of ascorbic acid, also known as vitamin C, each day. Because smoking inhibits vitamin absorption, smokers are encouraged to consume an additional 35 mg daily. If one grapefruit contains 40 mg of vitamin C and one serving of spinach contains 10 mg, which of the following inequalities represents the possible intake of grapefruit g and spinach s that a smoking female could consume to meet or surpass the USDA's recommended amount of vitamin C?

• A. 40g + 10s ≥ 75
• B. 40g + 10s ≥ 110
• C. 40g + 10s > 110
• D.

2.

The scatterplot above shows the relationship between the amount of time spent watching commercials each day and the amount of money spent each week on brand name grocery products for 10 consumers. The line of best fit for the data is also shown. Which of the following best represents the meaning of the slope of the line of best fit in the context of this question?

• A. The predicted amount of time spent watching commercials when a person spends 0 dollars on brand name products
• B. The predicted amount of money spent on brand name products when a person spends 0 minutes watching commercials
• C. The predicted increase in time spent watching commercials for every dollar increase in money spent on brand name products
• D. The predicted increase in money spent on brand name products for every one-minute increase in time spent watching commercials

3. There are very few states in the United States that require public schools to pay sales tax on their purchases. For this reason, many schools pay for student portraits and then the parents reimburse the school. Parents can choose between the basic package for \$29.50 and the deluxe package for \$44.50. If 182 parents ordered packages and the school's total bill was \$6,509, which of the following systems of equations could be used to find the number of parents who ordered a basic package, b, and the number who ordered a deluxe package, d, assuming no parent ordered more than one package?

• A.
• B.
• C.
• D.

4.

The graph of a polynomial function p(x) is shown above. For what values of x does p(x) = -4?

• A. –1
• B. 4
• C. –7 and 5
• D. –7, 4, and 5

5. If 4x + 3 = 19, what is the value of 4x – 3?

• A. –19
• B. 4
• C. 13
• D. 19

6.

What is the slope of the line shown in the graph?

• A. –2
• B.
• C.
• D. 2

7.

Most crimes in the United States are governed by state law rather than federal. Suppose two states passed laws that raised the penalty for committing armed robbery. The figure above represents the crime rate for armed robbery in both states after the laws were passed. Based on the graph, which of the following statements is true?

• A. State A's law had a more positive impact on the crime rate for armed robbery.
• B. State B's law had a more positive impact on the crime rate for armed robbery.
• C. The laws in both states had the same impact on the crime rate for armed robbery.
• D. Without axis labels, it is not possible to determine which state's law had a bigger impact.

8. On average, for every 2,500 cans of colored paint a home improvement chain mixes, exactly 40 are the wrong color (defective). At this rate, how many cans of paint were mixed during a period in which exactly 128 were defective?

• A. 5,200
• B. 7,500
• C. 8,000
• D. 64,000

9. According to the American Association of University Women, the mean age of men who have a college degree at their first marriage is 29.9 years. The mean age of women with a college degree at their first marriage is 28.4 years. Which of the following must be true about the combined mean age m of all people with college degrees at their first marriage?

• A. m = 29.15
• B. m > 29.15
• C. m < 29.15
• D. 28.4 < m < 29.9

10. When scuba divers ascend from deep water, they must either rise slowly or take safety breaks to avoid nitrogen buildup in their lungs. The length of time a diver should take to ascend is directly proportional to how many feet she needs to ascend. If a scuba diver can safely ascend 165 feet in 5.5 minutes, then how many feet can she ascend in 90 seconds?

• A. 45
• B. 60
• C. 75
• D. 90

11. The chief financial officer of a shoe company calculates that the cost C of producing p pairs of a certain shoe is C = 17p + 1,890. The marketing department wants to sell the shoe for \$35 per pair. The shoe company will make a profit only if the total revenue from selling p pairs is greater than the total cost of producing p pairs. Which of the following inequalities gives the number of pairs of shoes p that the company needs to sell in order to make a profit?

• A. p < 54
• B. p > 54
• C. p < 105
• D. p > 105

12. The human body has a very limited ability to store carbohydrates, which is why it is important for athletes to consume them during long training sessions or competitions. It is recommended that athletes consume approximately 3 calories per minute in situations like these. How many calories would an athlete biking a 74-mile race need to consume, assuming he bikes at an average speed of 9.25 miles per hour during the race?

• A. 480
• B. 1,440
• C. 1,665
• D. 2,053.5
 x 3 –1 –5 –7 y 0 14 28 ?

13. If the values in the table represent a linear relationship, what is the missing value?

• A. 21
• B. 30
• C. 35
• D. 42

14. The figure shows the age distribution of homebuyers and the percent of the market each age range makes up in a particular geographic region.

A new real estate agent is deciding which age group she should market toward in order to get the most clients. Which of the following measures of the data would be best for her to use when making this decision?

• A. Mean
• B. Mode
• C. Range
• D. Median

15. The figure shows the age distribution of homebuyers and the percent of the market each age range makes up in a particular geographic region.

Based on the information in the figure, which of the following statements is true?

• A. The shape of the data is skewed to the right, so the mean age of homebuyers is greater than the median.
• B. The shape of the data is skewed to the left, so the median age of homebuyers is greater than the mean.
• C. The shape of the data is fairly symmetric, so the mean age of homebuyers is approximately equal to the median.
• D. The data has no clear shape, so it is impossible to make a reliable statement comparing the mean and the median.

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