CLAST Algebra and Functions 2

Question 1

What is the y-intercept of the line y = 3x − 7?

Accepted Answer

−7

Answer

In slope-intercept form y = mx + b, the y-intercept b = −7.

Question 2

Factor completely: x² − 9

Accepted Answer

(x + 3)(x − 3)

Answer

x² − 9 is a difference of two squares: (x + 3)(x − 3).

Question 3

A linear function passes through (0, 2) and has slope 4. What is the equation?

Accepted Answer

y = 4x + 2

Answer

Using slope-intercept form with m = 4 and y-intercept = 2: y = 4x + 2.

Question 4

Solve the system: x + y = 7 and x − y = 3

Accepted Answer

x = 5, y = 2

Answer

Adding the equations: 2x = 10, so x = 5; substituting: 5 + y = 7, so y = 2.

Question 5

Which of the following represents an exponential growth function?

Accepted Answer

y = 2 · 3ˣ

Answer

Exponential growth functions have the form y = a · bˣ with b > 1; y = 2 · 3ˣ fits this form.

CLAST - College Level Academic Skills Test Practice Test