Multi-Step Equations W/ Variables on One Side

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 operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides of the equation.

Front

How do you isolate the variable in the equation 5b = 30?

Back

Divide both sides by 5.

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply a term by each term inside parentheses.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Front

What is the first step to take when solving -3y + 10 = 4?

Back

Subtract 10 from both sides of the equation.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation.

Front

What does it mean to isolate a variable?

Back

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