TSI Algebraic Reasoning and Functions 2 — Questions and Answers
Question 1: Solve for x: 3(x - 4) = 2x + 5.
- x = 17 (Correct answer)
- x = 1
- x = -7
- x = 7
Correct answer: x = 17
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)?
- 2 (Correct answer)
- 4
- 1/2
- 8
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 3: If f(x) = 2x^2 - 3x + 1, what is f(-2)?
- 15 (Correct answer)
- 3
- -1
- 11
Correct answer: 15
f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.
Question 4: Factor completely: x^2 - 9.
- (x - 3)(x + 3) (Correct answer)
- (x - 9)(x + 1)
- (x - 3)^2
- (x + 9)(x - 1)
Correct answer: (x - 3)(x + 3)
This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).
Question 5: Solve the inequality: 2x - 5 < 7.
- x < 6 (Correct answer)
- x > 6
- x < 1
- x > 1
Correct answer: x < 6
Add 5 to both sides then divide by 2 to get x < 6.
Question 6: What is the y-intercept of the line y = -3x + 7?
- 7 (Correct answer)
- -3
- -7
- 3
Correct answer: 7
In slope-intercept form y = mx + b, b = 7 is the y-intercept.
Question 7: Simplify: (2x^3)(4x^2).
- 8x^5 (Correct answer)
- 6x^5
- 8x^6
- 6x^6
Correct answer: 8x^5
Multiply coefficients (2*4=8) and add exponents (3+2=5).
TSI Algebraic Reasoning and Functions 2
Solve for x: 3(x - 4) = 2x + 5.