MAAP Algebra I 1 — Questions and Answers
Question 1: Which of the following represents a linear function?
- y = x²
- y = 2x + 3 (Correct answer)
- y = x³ - 1
- y = 1/x
Correct answer: y = 2x + 3
A linear function has the form y = mx + b; y = 2x + 3 fits this form with m = 2 and b = 3.
Question 2: What is the y-intercept of the equation y = 3x - 7?
- 3
- -3
- -7 (Correct answer)
- 7
Correct answer: -7
In slope-intercept form y = mx + b, the y-intercept is b, which equals -7.
Question 3: Solve for x: 2(x - 3) = 10.
- 4
- 7
- 8 (Correct answer)
- 5
Correct answer: 8
Distributing gives 2x - 6 = 10; adding 6 gives 2x = 16; dividing by 2 gives x = 8.
Question 4: Which ordered pair is a solution to the system: y = x + 2 and y = -x + 6?
- (1, 3)
- (2, 4) (Correct answer)
- (4, 2)
- (3, 5)
Correct answer: (2, 4)
For (2, 4): y = 2 + 2 = 4 and y = -2 + 6 = 4, so (2, 4) satisfies both equations.
Question 5: Factor the expression x² - 9.
- (x - 3)²
- (x + 3)(x - 3) (Correct answer)
- (x + 9)(x - 1)
- (x - 9)(x + 1)
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: What does the slope of a linear equation represent on a graph?
- The x-intercept of the line
- The y-intercept of the line
- The rate of change of y with respect to x (Correct answer)
- The total area under the line
Correct answer: The rate of change of y with respect to x
Slope measures the rate of change, showing how much y changes for each unit increase in x.
MAAP Algebra I 1
Which of the following represents a linear function?