One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has Infinite Solutions?

Back

An equation has infinite solutions when every value of the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

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, meaning the two sides are never equal.

Front

Solve: 3(x-2) + 1 = 3x - 5

Back

Infinite Solutions

Front

Solve: 14 - 2(3p + 1) = 6(4 + p)

Back

One Solution

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

Solve: 3x - 8 = 3(x - 4) + 1

Back

No Solution

Front

Solve: 6x + 9 - x = 3x + 9 + x

Back

No Solution

Front

What is the first step to solve an equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.