Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. 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. It is the value of y when x = 0.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the solution to the equation 4a + 3 = 15?

Back

a = 3.

Front

Which equation has x = 5 as the solution?

Back

The equation 2x = 10 has x = 5 as the solution.

Front

Solve the equation 4n - 7 = -23.

Back

n = -4.

Front

Write the equation of a line with a positive slope of 3 and a y-intercept of -2.

Back

y = 3x - 2.

Front

What is the value of z in the equation 144 = 12z?

Back

z = 12.

Front

What is the standard form of a linear equation?

Back

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