Math 1 Block Final Review

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

Convert the equation y + 9 = 3(x - 1) to slope-intercept form.

Back

The slope-intercept form is y = mx + b. For this equation, it converts to y = 3x - 12.

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 it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed, indicating that the rate of change is not constant.

Front

How do you evaluate a function f(x) at a specific value?

Back

To evaluate f(x) at a specific value, substitute the value into the function and simplify.

Front

Solve for x: 6(2x + 1) = 18.

Back

x = 1.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the y-intercept of a linear equation?

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 y = mx + b.