Equations with one solution, no solutions, or infinite

Front

What is an equation with one solution?

Back

An equation that has exactly one value for the variable that makes it true.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is an equation with infinite solutions?

Back

An equation that is true for all values of the variable.

Front

Solve: 8z - 22 = 3(3z + 11) - z

Back

No Solution

Front

Solve: -13 + 5a = 3(a - 3)

Back

a = 2

Front

Solve: 10x - 8/3 - 4x = 6x

Back

No Solution

Front

Solve: 1/3(2b + 9) = 2/3(b + 9/2)

Back

Infinitely Many Solutions

Front

What is the first step in solving an equation?

Back

Isolate the variable by performing inverse operations.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What is the significance of the coefficients in an equation?

Back

Coefficients determine the slope and position of the line in a linear equation.