Solving Multistep Equations with Special Solutions

Front

What does it mean when an equation has no solution?

Back

It means that there is no value for the variable that can make the equation true.

Front

What does it mean when an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

Solve for x: 2x + 3 = 3x - 5

Back

x = 8.

Front

Solve for y: 4y - 7 = 5y + 2

Back

y = -9.

Front

What is a multistep equation?

Back

An equation that requires more than one step to solve.

Front

Solve for z: 3(z - 2) = 2z + 4

Back

z = 10.

Front

What is the first step in solving the equation 5x - 2 = 5x + 2?

Back

Identify that both sides are equal, leading to no solution.

Front

Solve for v: 2v + 4 = 3v - 6

Back

v = 10.

Front

Back

x = 21.

Front

What does it mean when an equation has one solution?

Back

Only one specific value for the variable will make the equation true.