# New SAT Math Multiple Choice Practice Test 46

### Test Information

15 questions

22 minutes

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1. If m is a number chosen randomly from the set {2, 3, 4, 6} and n is a number chosen randomly from the set {1, 2, 3, 4}, what is the probability that mn is a multiple of 12?

• A.
• B.
• C.
• D.

2. If y = 3x + 4 and x < 3, which of the following represents all the possible values of y?

• A. y > 7
• B. y < 13
• C. 7 < y < 13
• D. y > 13

3. If g(x + 1) = x2 + 2x + 4 for all values of x, which of the following is equal to g(x)?

• A. x2 + 4
• B. x2 + 3
• C. (x - 1)2 + 4
• D. (x - 1)2 + 3

4. A: 2, 7, 12, 17, 22, . . .

B: 5, 15, 25, 35, 45, . . .

Two sequences, A and B, follow the patterns shown above. If the nth term of sequence A is 72, what is the nth term of sequence B?

• A. 125
• B. 135
• C. 145
• D. 155

5. A website received 2,100 visitors in July from both subscribers and nonsubscribers. If the ratio of subscribers to nonsubscribers among this group was 2:5, how many more nonsubscribers visited the site in July than subscribers?

• A. 126
• B. 630
• C. 900
• D. 1,260

6.

The figure above shows the locations of quadrants I-IV in the xy-plane. Which of the following represents a pair of linear equations that do NOT intersect in quadrant I?

• A. 3x + 5y = 15

y = 4

• B. 5x + 3y = 15

y = 4

• C. 5x - 3y = 15

y = 4

• D. 3x - 5y = 15

y = 4

7. During a 40-minute session at a 220 volt charging station, the charge on an electric car battery increases from an initial charge of 50 power units to a final charge of 106 power units. If this charge increases linearly with time, which of the following best describes the charge, q, in power units, on this same battery after charging for t hours from an initial charge of 20 power units? (1 hour = 60 minutes)

• A. q = 55t + 50
• B. q = 84t + 50
• C. q = 55t + 20
• D. q = 84t + 20

8.

The scatterplot above shows the length and weight of a group of 20 salmon and the line of best fit for the data. According to this line of best fit, which of the following best approximates the weight, in kilograms, of a salmon that is 95 centimeters long?

• A. 7.6
• B. 7.8
• C. 8.3
• D. 8.8

9.

Which of the following equations best describes the relationship between w, the weight in kilograms of each salmon, and l, its length in centimeters?

• A.
• B.
• C.
• D.

10. The average size of a compressed image file is 750 kB. If Ronika's data plan allows her to send 2 GB of data each month before she pays any overage charges, but she plans to use 85% of that data for texting, approximately how many compressed images can she send each month before she incurs any overage charges? (1 GB = 1,000 MB; 1 MB = 1,000 kB)

• A. 227
• B. 400
• C. 2,267
• D. 4,000

11. Perfectioner's Chocolate Company makes two varieties of truffles: dark chocolate and milk chocolate. Each dark chocolate truffle requires 0.65 ounces of cocoa powder, and each milk chocolate truffle requires 0.45 ounces of cocoa powder. If cocoa powder costs c dollars per pound, and Perfectioner's Chocolate Company has budgeted \$200 per week for cocoa powder, which of the following inequalities indicates the restrictions on the number of dark chocolate truffles, d, and the number of milk chocolate truffles, m, the company can make in one week? (1 pound = 16 ounces)

• A.
• B.
• C.
• D.

12. If n is a positive integer and m = 2n + 2 + 2n, what is 2n + 3 in terms of m?

• A. m
• B.
• C.
• D. 3m2

13. For how many values of x between 0 and 2π does sin

• A. Two
• B. Three
• C. Four
• D. Six

14.

The figure above shows the graphs of functions f and g in the xy-plane. Which of the following equations could express the relationship between f and g?

• A. f(x) = g(x - 2)
• B. f(x) = g(x + 2)
• C. f(x) = g(x) + 2
• D. f(x) = g(x) - 2

15. A researcher is trying to estimate the daily amount of time undergraduate computer science majors spend on nonrecreational computer activities. She surveys 120 students from among the computer science majors at a large state university and asks them, "How much time do you spend in nonrecreational computer activities each day?" The mean of these responses is 210 minutes per day, with a standard deviation of 16.5 minutes. If another researcher wishes to present the same question to a new set of subjects at the same university, which of the following subject groups would most likely yield a data set with a smaller margin of error for the estimated daily amount of time undergraduate computer science majors spend on nonrecreational computer activities?

• A. 240 randomly selected computer science majors
• B. 240 randomly selected liberal arts majors
• C. 80 randomly selected computer science majors
• D. 80 randomly selected liberal art majors