Solving Equations: Special Cases (menu)

Front

What is the solution to an equation with no solution?

Back

No solution means that there are no values for the variable that will satisfy the equation.

Front

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

Back

You can put any number into the equation and both sides will be TRUE.

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

What is the solution to the equations 2x + 4 = 2(x + 2)?

Back

Infinitely Many Solutions

Front

How many solutions does the equation 4x - 3 = 3(2x + 3) have?

Back

One solution.

Front

What is the definition of a unique solution in an equation?

Back

A unique solution means there is exactly one value for the variable that satisfies the equation.

Front

What does it mean if two equations are inconsistent?

Back

Inconsistent equations have no solution.

Front

What is the general form of a linear equation?

Back

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

Front

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

Back

Coefficients determine the slope and position of the line represented by the equation.

Front

Solve: 5x + 10 = 5(x + 2)

Back

Infinitely Many Solutions