ALEKS Algebra Fundamentals 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- x = 5 (Correct answer)
- x = 7
- x = 3
- x = 9
Correct answer: x = 5
Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.
Question 2: Simplify: 4x + 3y - 2x + y
- 2x + 4y (Correct answer)
- 6x + 4y
- 2x + 2y
- 4x + 4y
Correct answer: 2x + 4y
Combine like terms: (4x - 2x) + (3y + y) = 2x + 4y.
Question 3: What is the slope of the line passing through (2, 3) and (6, 11)?
- 2 (Correct answer)
- 1/2
- 4
- 3
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 4: Which equation represents a line with slope -3 and y-intercept 5?
- y = -3x + 5 (Correct answer)
- y = 3x + 5
- y = -3x - 5
- y = 5x - 3
Correct answer: y = -3x + 5
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Question 5: Factor completely: x² - 9
- (x + 3)(x - 3) (Correct answer)
- (x - 3)²
- (x + 9)(x - 1)
- (x - 3)(x - 3)
Correct answer: (x + 3)(x - 3)
x² - 9 is a difference of squares: a² - b² = (a + b)(a - b), so x² - 9 = (x + 3)(x - 3).
Question 6: Solve the inequality: 2x - 4 > 10
- x > 7 (Correct answer)
- x > 3
- x < 7
- x > 14
Correct answer: x > 7
Add 4 to both sides: 2x > 14, then divide by 2: x > 7.
ALEKS Algebra Fundamentals 1
Solve for x: 3x + 7 = 22