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

They are parallel

Answer

They are perpendicular

Answer

They are the same line

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

0 ≤ f(x) ≤ 5

Answer

5 ≤ f(x) ≤ 10

Answer

−10 ≤ 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

3/2

Answer

−3/2

Answer

−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

$13,750

Answer

$15,500

Answer

$17,500

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

8

Answer

12

Answer

−8

Question 6

A school's enrollment has been declining linearly. In 2020 the school had 840 students, and in 2024 it has 680 students. If this trend continues, in what year will enrollment reach 560 students?

Accepted Answer

2027

Answer

2026

Answer

2028

Answer

2029

Question 7

A linear function g satisfies g(2) = 7 and the slope is −4. What is g(5)?

Accepted Answer

−5

Answer

−4

Answer

−3

Answer

−2