CLT Math 2

Question 1

If 3x - 7 = 2x + 5, what is the value of x?

Accepted Answer

12

Answer

Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

Question 2

A quadratic equation x² - 5x + 6 = 0 has roots at:

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x - 2)(x - 3) = 0, giving roots x = 2 and x = 3.

Question 3

What is the slope of the line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.

Question 4

Which value of x satisfies |2x - 4| = 10?

Accepted Answer

x = 7 or x = -3

Answer

Set 2x - 4 = 10 (x = 7) and 2x - 4 = -10 (x = -3), yielding two solutions.

Question 5

If f(x) = 2x² - 3x + 1, what is f(-1)?

Accepted Answer

6

Answer

f(-1) = 2(1) - 3(-1) + 1 = 2 + 3 + 1 = 6.

(CLT) Classical Learning Test Practice Test