One, None or Infinite

Front

What does it mean if an equation has 'One Solution'?

Back

An equation has 'One Solution' if there is exactly one value of the variable that satisfies the equation.

Front

What does it mean if an equation has 'No Solution'?

Back

An equation has 'No Solution' if there are no values of the variable that can satisfy the equation.

Front

What does it mean if an equation has 'Infinite Solutions'?

Back

An equation has 'Infinite Solutions' if there are countless values of the variable that satisfy the equation, often because the equation simplifies to a true statement.

Front

Solve: 6x + 9 – x = 3x + 9 + x

Back

One Solution: x = 0.

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution.

Front

Solve: 14 + 35v = 3v + 14

Back

One Solution: v = 0.

Front

Solve: 9y + 8 = 9y - 8

Back

No Solution.

Front

Solve: 36 - 7p = -7p + 35

Back

No Solution.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and can be represented graphically as a straight line.

Front

What is the significance of the variable in an equation?

Back

The variable represents an unknown value that we are trying to solve for in the equation.