One Solution, No Solution, Infinite Solutions

Front

What does 'One Solution' mean in algebra?

Back

It means there is exactly one value of the variable that satisfies the equation.

Front

What does 'No Solution' mean in algebra?

Back

It means there are no values of the variable that can satisfy the equation.

Front

What does 'Infinite Solutions' mean in algebra?

Back

It means there are countless values of the variable that satisfy the equation, often because the equation simplifies to a true statement.

Front

Solve for x: 5x + 4 = 3(2x - 5) - (x + 5)

Back

No Solution

Front

Solve for m: 5m - 9 = 8(m + 4) - 3(m + 10)

Back

No Solution

Front

Solve for x: -3(x + 6) = -3(2x + 4)

Back

One Solution

Front

Solve for x: 7x + 3 = 5(2x + 5) - (3x + 22)

Back

Infinite Solution

Front

Solve for c: 2(15c + 8) = 9(2c + 4) - (3c + 2)

Back

One Solution

Front

What is the first step to solve an equation?

Back

Isolate the variable by performing inverse operations.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.