No Solution, One Solution, Infinite Solutions

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 makes the equation true.

Front

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

Back

An equation has 'Infinite Solutions' if any value of the variable makes the equation true, meaning the two sides of the equation are equivalent for all values.

Front

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

Back

An equation has 'No Solution' if there is no value of the variable that can satisfy the equation, meaning the two sides are never equal.

Front

Solve the equation: 6(m+3)=5(m-2)

Back

One Solution: m = -3.

Front

Solve the equation: 8m+12=2(4m+6)

Back

Infinite Solutions.

Front

Solve the equation: 5y-15=5(y-2)

Back

No Solution.

Front

Solve the equation: 9y+8=9y-8

Back

No Solution.

Front

Solve the equation: 2(m+3)=2m+12

Back

No Solution.

Front

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

Back

Simplify both sides of the equation to see if they can be made equivalent.

Front

What is an example of an equation with Infinite Solutions?

Back

An example is 2x + 4 = 2(x + 2).