Alg 1 S1 Exam Review 24-25

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by f(x) = mx + b, where m represents the slope of the line and b represents the y-intercept.

Front

How do you determine if a function is linear?

Back

A function is linear if it can be expressed in the form f(x) = mx + b, where m and b are constants. The graph of a linear function is a straight line.

Front

What is the slope of the line represented by the equation f(x) = -2x + 3?

Back

The slope of the line is -2.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form f(x) = mx + b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (2, 1) and (4, -2)?

Back

The slope is -3/2.

Front

What is the slope-intercept form of the line that passes through the points (2, 1) and (4, -2)?

Back

The slope-intercept form is f(x) = -\frac{3}{2}x + 4.

Front

What is the value of f(-5) if f(x) = 3x^2 - 1?

Back

f(-5) = 3(-5)^2 - 1 = 74.

Front

What is the value of f(-5) + 10 if f(x) = 3x^2 - 1?

Back

f(-5) + 10 = 74 + 10 = 84.