Multi-Step Equations W/ 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, distributing, and isolating the variable.

Front

What is the first step in solving a multi-step equation?

Back

Distribution (if necessary) to eliminate parentheses.

Front

What does 'combine like terms' mean?

Back

It means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

To isolate the variable on one side of the equation to solve for its value.

Front

What does SADMEP stand for?

Back

SADMEP is an acronym for the steps in solving equations: Simplify, Add/Subtract, Divide/Multiply, Evaluate, and Plug back in.

Front

How do you solve the equation 5b - 6 = 24?

Back

Add 6 to both sides to get 5b = 30, then divide both sides by 5 to find b = 6.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

The solution is b = 1.

Front

How do you solve the equation -(n - 8) = -2?

Back

Distribute the negative sign to get -n + 8 = -2, then isolate n to find n = 10.

Front

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

Back

To verify that the solution satisfies the original equation and is correct.

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is alone on one side of the equation.