2nd Hour -Multi-Step Equations with variables on one side

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms and using inverse operations.

Front

How do you combine like terms in an equation?

Back

By adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for w: 12 + 5w - 4w = 15

Back

w = 3

Front

What is the first step in solving the equation a - 3a - 6 = 10?

Back

Combine -a & -3a.

Front

Solve for a: -15 = 5a + 12 - 2a + 6

Back

a = -11

Front

What is the purpose of using inverse operations in solving equations?

Back

To isolate the variable and solve for its value.

Front

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

Back

x = 1

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the importance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.