One Solution, No Solution, 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: 14 - 2(3p + 1) = 6(4 + p)

Back

One Solution

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

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

Back

Infinite Solutions

Front

Solve: 3r - 5 = 2r

Back

r = 5

Front

Solve: 3x - 7 = 3(x - 3) + 2

Back

Infinite Solutions

Front

What is the first step in solving an equation?

Back

The first step is to simplify both sides of the equation if possible.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.