AA College Mathematics 1 — Questions and Answers
Question 1: What is the solution to the equation 2x + 6 = 14?
- x = 4 (Correct answer)
- x = 5
- x = 3
- x = 10
Correct answer: x = 4
Subtracting 6 from both sides gives 2x = 8, then dividing by 2 yields x = 4.
Question 2: What is the slope of the line described by the equation y = 3x - 7?
- 3 (Correct answer)
- -7
- 7
- -3
Correct answer: 3
In slope-intercept form y = mx + b, the coefficient m of x is the slope, which is 3.
Question 3: Which of the following represents a quadratic equation?
- y = x² + 5x - 6 (Correct answer)
- y = 3x + 2
- y = 1/x
- y = 4
Correct answer: y = x² + 5x - 6
A quadratic equation has a degree of 2, meaning the highest power of the variable is 2, as in x².
Question 4: What is the value of 5! (5 factorial)?
- 120 (Correct answer)
- 25
- 60
- 100
Correct answer: 120
5! = 5 × 4 × 3 × 2 × 1 = 120.
Question 5: Which measure of central tendency is most affected by outliers?
- Mean (Correct answer)
- Median
- Mode
- Range
Correct answer: Mean
The mean uses all values in its calculation, so extreme outliers can pull it significantly higher or lower.
Question 6: What is the probability of rolling a 4 on a standard six-sided die?
- 1/6 (Correct answer)
- 1/4
- 1/3
- 4/6
Correct answer: 1/6
There is one favorable outcome (rolling a 4) out of six equally likely outcomes, giving a probability of 1/6.
AA College Mathematics 1
What is the solution to the equation 2x + 6 = 14?