SAT Practice Test 9 Part 1

What value of x satisfies the equation 3x + 3 = 27?

• 3

• 8

• 10

• 27

Two Units of Length used in Ancient Egypt were cubits and palms, where 1 cubit is equivalent to 7 palms. The Great Sphinx statue in Giza is approximately 140 cubits long. Which of the following best approximates the length, in palms, of the Great Sphinx statue?

• 0.05

• 20

• 140

• 980

• 24

• 49

• 50

• 99

• -4

• 0

• 1

• 3

Of the following, which best approximates the temperature, in degrees Fahrenheit, of the coffee when it is first removed from the heat source?

• 75

• 100

• 155

• 195

Answer explanation

The temperature of the coffee when it is first removed would be represented by the point on the scatterplot where x = 0. This point is approximately (0, 195) indicting an initial temperature of about 195 degrees Fahrenheit

During which of the following 10-minute intervals does the temperature of the coffee decrease at the greatest average rate?

• Between 0 and 10 minutes

• Between 30 and 40 minutes

• Between 50 and 60 minutes

• Between 90 and 100 minutes

Answer explanation

To find the largest rate of decrease for each interval, look at the temperature difference for each pair of time (x) values

For 0 minutes to 10 minutes, the temperature drops about 40 degrees

For 30 minutes to 40 minutes, the temperature drops about 12 degrees

For 50 minutes to 60 minutes, the temperature drops about 10 degrees

For 90 minutes to 100 minutes, the temperature drops about 2 degrees

By far the largest decrease in temperature is between 0 minutes and 10 minutes.

• 100

• 90

• 80

• 60

According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?

• $2.00

• $2.60

• $3.00

• $5.00

Answer explanation

The cost of each additional mile traveled would be the rate of change (slope) of the line. notice that the line is increasing with a ryse of 2 and a run of 1. so the slope is 2/1 or $2.00 per mile

• 15 / 50

• 15 / 40

• 35 / 50

• 50 / 135

Answer explanation

Given the wording of the problem, we are only using the Total Column. The number of customers who did not purchased Gasoline was 50, the total number of customers was 135. So the answer that is correct is 50 / 135

Washington High School randomly selected freshmen, sophomore, junior, and senior students for a survey about potential changes to next year's schedule. Of students selected for this survey, 1/4 were freshmen and 1/3 were sophomores. Half of the remaining selected students were juniors. If 336 students were selected for the survey, how many were seniors?

• 240

• 140

• 120

• 70

Answer explanation

If 336 total students were selected, then we can easily figure the number of freshman and sophomores...

1/4 of 336 is 84 freshmen. 1/3 of 336 is 112 sophomore. this accounts for 84+112 or 196 students.

Therefore, 336 - 196 is 140 total juniors and seniors.

Half of these 140 are Juniors, so there are 70 Juniors and 70 Seniors