Algebra 1 Semester 1 Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a curve is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find f(-2) for the function f(x) = 3x + 1?

Back

To find f(-2), substitute -2 for x: f(-2) = 3(-2) + 1 = -6 + 1 = -5.

Front

How do you find f(-3) for the function f(x) = -5x - 6?

Back

To find f(-3), substitute -3 for x: f(-3) = -5(-3) - 6 = 15 - 6 = 9.

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 1?

Back

The equation is y = 3x + 1.

Front

How do you determine the equation of a line from two points?

Back

Use the formula for slope (m) between the points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1), then use point-slope form to find the equation.