Algebra 1 Semester 1 Review

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function like f(x) = 3x + 1 at x = -2, substitute -2 for x: f(-2) = 3(-2) + 1 = -6 + 1 = -5.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). For example, a slope of 3/4 means for every 4 units you move right, you move up 3 units.

Front

How do you solve for y in an equation?

Back

To solve for y in an equation like -4x + 2y = 16, isolate y: 2y = 4x + 16, then y = 2x + 8.

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. For example, if a graph shows y values between 2 and 4, the range is 2 ≤ y ≤ 4.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x). It can be represented as an equation, a graph, or a table.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you find the slope from two points?

Back

To find the slope (m) from two points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between independent and dependent variables?

Back

In a function, the independent variable (usually x) is the input value, while the dependent variable (usually y) is the output value that depends on the input.