SAT Problem Solving & Data Analysis 1

Question 1

What is the solution to the equation 3x + 2 = 14?

Accepted Answer

x = 4

Answer

To solve the equation 3x + 2 = 14, first subtract 2 from both sides to isolate the term with x, resulting in 3x = 12. Then, divide both sides by 3 to solve for x. This yields x = 4, which is the unique solution to the equation.

Question 2

If the mean of the set {3, 5, 7, x, 9} is 6, what is the value of x?

Accepted Answer

x = 6

Answer

The mean of a set of numbers is calculated by summing all the numbers and dividing by the count of numbers. For the set {3, 5, 7, x, 9} with a mean of 6, the sum is (3 + 5 + 7 + x + 9) = 24 + x. Since there are 5 numbers, (24 + x) / 5 = 6. Multiplying both sides by 5 gives 24 + x = 30, and subtracting 24 yields x = 6.

Question 3

A car travels 120 miles in 2 hours. What is its average speed?

Accepted Answer

60 miles per hour

Answer

Average speed is calculated by dividing the total distance traveled by the total time taken. In this scenario, the car travels 120 miles in 2 hours. Therefore, the average speed is 120 miles divided by 2 hours, which equals 60 miles per hour.

Question 4

What is the value of 3(2x - 4) = 18?

Accepted Answer

x = 3

Answer

To solve the equation 3(2x - 4) = 18, first divide both sides by 3, which simplifies to 2x - 4 = 6. Next, add 4 to both sides, resulting in 2x = 10. Finally, dividing by 2 yields x = 5, which is the correct solution for the given equation.

Question 5

Which of the following is the correct interpretation of the bar graph shown?

Accepted Answer

Sales peaked in 2020 and decreased in 2021.

Answer

To interpret a bar graph, one must observe the height of each bar, which represents the value for a given category or time period. If the bar for 2020 is the tallest and the bar for 2021 is shorter than 2020's, it indicates that sales reached their highest point in 2020 and subsequently declined in 2021.

SAT Practice Test

SAT Practice Test

SAT Problem Solving & Data Analysis 1