TSIA2 Algebra Fundamentals 4

Question 1

Which equation represents a line perpendicular to y = 3x + 2?

Accepted Answer

y = -(1/3)x + 6

Answer

A perpendicular line has a slope that is the negative reciprocal of 3, which is -1/3.

Question 2

Simplify: (2x³)⁴

Accepted Answer

16x¹²

Answer

Apply the power rule: 2⁴ = 16 and (x³)⁴ = x¹², giving 16x¹².

Question 3

Two trains leave a station simultaneously in opposite directions. One travels at 60 mph and the other at 80 mph. After how many hours are they 420 miles apart?

Accepted Answer

3 hours

Answer

Combined speed = 140 mph; 420 ÷ 140 = 3 hours.

Question 4

What are the roots of the equation x² - 6x + 9 = 0?

Accepted Answer

x = 3 only

Answer

x² - 6x + 9 = (x - 3)² = 0, so x = 3 is a double root.

Question 5

Which expression represents 'the square of the sum of x and 4'?

Accepted Answer

(x + 4)²

Answer

'The square of the sum of x and 4' means (x + 4)².

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test

TSIA2 Algebra Fundamentals 4