TSI - Texas Success Initiative Algebraic Reasoning and Functions Questions and Answers 2

Question 1

Solve for x: 3x - 7 = 2x + 5

Accepted Answer

x = 12

Answer

Subtract 2x from both sides: x - 7 = 5. Add 7 to both sides: x = 12.

Question 2

Which of the following is the solution set of the inequality 2x + 3 > 11?

Accepted Answer

x > 4

Answer

Subtract 3 from both sides: 2x > 8. Divide both sides by 2: x > 4.

Question 3

What is the vertex of the parabola y = x² - 6x + 8?

Accepted Answer

(3, -1)

Answer

Complete the square or use h = -b/(2a) = 6/2 = 3. Then y = 9 - 18 + 8 = -1. Vertex is (3, -1).

Question 4

A function f(x) = 2x + 1. What is f(f(3))?

Accepted Answer

15

Answer

First evaluate f(3) = 2(3) + 1 = 7. Then f(7) = 2(7) + 1 = 15.

Question 5

Solve the system: x + y = 6 and x - y = 2.

Accepted Answer

x = 4, y = 2

Answer

Add the two equations: 2x = 8, so x = 4. Substitute back: 4 + y = 6, so y = 2.

TSI Practice Test