TSIA2 College Readiness Math 4

Question 1

What is the simplified form of (x² − 9) / (x − 3)?

Accepted Answer

x + 3

Answer

Factor the numerator as (x + 3)(x − 3); dividing by (x − 3) leaves x + 3.

Question 2

If a triangle has legs of length 5 and 12, what is the length of the hypotenuse?

Accepted Answer

13

Answer

By the Pythagorean theorem: √(25 + 144) = √169 = 13.

Question 3

What is the slope-intercept form of a line with slope −3 passing through (0, 7)?

Accepted Answer

y = −3x + 7

Answer

With slope −3 and y-intercept 7, the equation is y = −3x + 7.

Question 4

Which of the following is NOT a function?

Accepted Answer

{(1,2),(1,3),(2,4)}

Answer

The input 1 maps to two different outputs (2 and 3), violating the definition of a function.

Question 5

Simplify: (3a²b³)² / (9a³b²)

Accepted Answer

a b⁴

Answer

Numerator = 9a⁴b⁶; dividing by 9a³b² gives a¹b⁴ = ab⁴.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test