TSI Algebraic Reasoning and Functions 2

Question 1

Solve for x: 3(x - 4) = 2x + 5.

Accepted Answer

x = 17

Answer

Distribute to get 3x - 12 = 2x + 5, then x = 17.

Question 2

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 3

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

Accepted Answer

15

Answer

f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

Question 4

Factor completely: x^2 - 9.

Accepted Answer

(x - 3)(x + 3)

Answer

This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).

Question 5

Solve the inequality: 2x - 5 < 7.

Accepted Answer

x < 6

Answer

Add 5 to both sides then divide by 2 to get x < 6.

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