equations with special cases

Front

What does it mean when an equation has one solution?

Back

Only ONE solution will make the equation true.

Front

Solve: 4x + 1 = 8x − 3

Back

x = 1

Front

Solve: 2y − 3 = 2y − 3

Back

All real numbers.

Front

What does it mean when an equation has infinitely many solutions?

Back

The equation is always TRUE when any value is substituted in for the variable.

Front

What does it mean when an equation has no solution?

Back

The equation will NEVER be true when any value is substituted in for the variable.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does it mean for two equations to be equivalent?

Back

They have the same solution set.

Front

Solve: 3x + 5 = 2x + 10

Back

x = 5

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.