Bluebook SAT Test Linear Functions 8

Question 1

Two lines are defined by y = 4x − 3 and y = (1/4)x + 2. Which statement about these lines is true?

Accepted Answer

They intersect at exactly one point

Answer

The slopes 4 and 1/4 are different (product = 1, not −1), so the lines are not perpendicular and not parallel — they intersect at exactly one point.

Question 2

The function f(x) = −2x + 10 is defined for 0 ≤ x ≤ 5. What is the range of f?

Accepted Answer

0 ≤ f(x) ≤ 10

Answer

At x = 0: f = 10; at x = 5: f = 0; since slope is negative, f decreases, so range is 0 ≤ f(x) ≤ 10.

Question 3

The equation of a line is y = 5 − (3/2)x. What is the slope of a line perpendicular to this line?

Accepted Answer

2/3

Answer

The slope of the given line is −3/2; the perpendicular slope is the negative reciprocal: 2/3.

Question 4

A salesperson earns a base salary of $2,000 per month plus a 5% commission on all sales. If the salesperson earns $2,750 in a month, what were their total sales that month?

Accepted Answer

$15,000

Answer

2000 + 0.05s = 2750 → 0.05s = 750 → s = $15,000.

Question 5

In the function f(x) = 6x + b, if the graph passes through (−2, 4), what is the value of b?

Accepted Answer

16

Answer

4 = 6(−2) + b → 4 = −12 + b → b = 16.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Linear Functions 8