Unit 4 Math8 Solving Linear Equations

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

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 y when x = 0.

Front

How can you convert the slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate the terms.

Front

What is the solution to the equation m - 14 = 76?

Back

The solution is m = 90.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation x + 12 = 20?

Back

The solution is x = 8.

Front

How do you solve the equation (x/1) + 3 = 33?

Back

Subtract 3 from both sides to get x/1 = 30, then multiply both sides by 1 to find x = 30.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients represent the slope and y-intercept, determining the line's steepness and position on the graph.