One, No, Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value 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 when any value of the variable makes the equation true.

Front

Solve the equation: 3t + 5 = 4t + 7

Back

One Solution: t = -2.

Front

Solve the equation: 4p + 1 = 49 - 7

Back

No Solution.

Front

Solve the equation: 4(8n - 1) = 19 + 32n

Back

No Solution.

Front

Solve the equation: 3x + 7 + 2x = 5x + 7

Back

Infinite Solutions.

Front

Solve the equation: 4y + 10 = 10 + 4y

Back

Infinite Solutions.

Front

What is the first step to determine the number of solutions of an equation?

Back

Simplify both sides of the equation if possible.

Front

How can you tell if an equation has no solution?

Back

If simplifying leads to a false statement, like 0 = 5.