TSIA2 College Readiness Math 2

Question 1

Which expression is equivalent to 3x² − 12x + 12?

Accepted Answer

3(x − 2)²

Answer

Factor out 3 to get 3(x² − 4x + 4) = 3(x − 2)².

Question 2

A line passes through (−1, 4) and (3, −4). What is its slope?

Accepted Answer

−2

Answer

Slope = (−4 − 4) / (3 − (−1)) = −8/4 = −2.

Question 3

Solve for x: |2x − 5| = 9

Accepted Answer

x = 7 or x = −2

Answer

Set 2x − 5 = 9 (x = 7) and 2x − 5 = −9 (x = −2).

Question 4

What is the domain of f(x) = √(x − 3)?

Accepted Answer

x ≥ 3

Answer

The radicand must be non-negative, so x − 3 ≥ 0, giving x ≥ 3.

Question 5

If f(x) = 2x + 3 and g(x) = x², what is f(g(2))?

Accepted Answer

11

Answer

g(2) = 4, then f(4) = 2(4) + 3 = 11.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test