CLAST Algebra and Functions

Question 1

Solve for x: 3x − 7 = 11

Accepted Answer

x = 6

Answer

Adding 7 to both sides: 3x = 18; dividing by 3: x = 6.

Question 2

What is the slope of the line passing through points (2, 3) and (5, 9)?

Accepted Answer

2

Answer

Slope = (9 − 3) / (5 − 2) = 6 / 3 = 2.

Question 3

Which of the following is equivalent to 2(3x − 4) + 5x?

Accepted Answer

11x − 8

Answer

Distributing: 6x − 8 + 5x = 11x − 8.

Question 4

Solve for y: 2y + 4 = y − 3

Accepted Answer

y = −7

Answer

Subtracting y from both sides: y + 4 = −3; subtracting 4: y = −7.

Question 5

If f(x) = 2x² − 3, what is f(4)?

Accepted Answer

29

Answer

f(4) = 2(4²) − 3 = 2(16) − 3 = 32 − 3 = 29.

CLAST - College Level Academic Skills Test Practice Test