Review 3: Solving Linear Equations (Special Cases)

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

Solve: 2y − 3 = 2y − 3

Back

Infinitely many solutions.

Front

Solve: 10x + 3 + 3x = 5x + 1 + 8x + 2

Back

Infinitely many solutions.

Front

Solve: 6(y + 4) = 6y + 10

Back

No solutions.

Front

Solve: 9y − 5 = 2y + 9

Back

y = 2.

Front

What is a linear equation?

Back

An equation that can be written in the form ax + b = 0, where a and b are constants.

Front

What does it mean when an equation has no solutions?

Back

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

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

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

What is the solution to the equation 3x + 4 = 4x + 2?

Back

x = 2.