Solving Multi-step equations.

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms in an expression that have the same variable raised to the same power.

Front

Solve: 12 + 5w - 4w = 15

Back

w = 3

Front

What is the solution type for an equation with no variable solution?

Back

No solution.

Front

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

Back

It means that any value for the variable will satisfy the equation, often occurring when both sides of the equation are equivalent.

Front

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

Back

Infinitely Many Solutions

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

Solve: -(n - 8) = -2

Back

n = 10

Front

What is the first step in solving the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms to simplify the equation.

Front

Solve: 3y + 6 + 4y - 7 = -8

Back

y = -1