Digital SAT Math Practice Flashcards

If 3x + 7 = 22, what is the value of 6x + 5?

Answer: 35

Solving 3x + 7 = 22 gives x = 5, so 6x + 5 = 30 + 5 = 35.

A scatterplot shows a strong positive linear association between study hours and test scores for 30 students. Which conclusion is best supported?

Answer: Students who study more hours tend to score higher on the test.

A positive association means higher study hours correlate with higher scores, but association does not imply causation.

What is the solution set of the inequality 2(x − 3) > 4x − 2?

Answer: x < −2

Expanding gives 2x − 6 > 4x − 2, so −4 > 2x, meaning x < −2.

The function f(x) = x² − 6x + 8 has zeros at which values of x?

Answer: x = 2 and x = 4

Factoring gives (x − 2)(x − 4) = 0, so the zeros are x = 2 and x = 4.

In a right triangle, the two legs have lengths 9 and 12. What is the length of the hypotenuse?

Answer: 15

By the Pythagorean theorem, c² = 9² + 12² = 81 + 144 = 225, so c = 15.

A survey of 200 randomly selected adults found that 60 prefer streaming movies at home over going to a theater. Based on this sample, what is the best estimate for the percentage of all adults who prefer streaming?

Answer: 30%

60 out of 200 is 60/200 = 0.30, or 30%, making 30% the best population estimate.

Which equation represents a line parallel to y = −2x + 5 that passes through the point (0, 3)?

Answer: y = −2x + 3

Parallel lines have equal slopes; using slope −2 and y-intercept 3 gives y = −2x + 3.