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

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to (v + 8) to simplify the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What does it mean to combine like terms?

Back

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

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

What is the solution to the equation 5x + 15 = 10x - 40?

Back

x = 11

Front

Which operation cannot be performed first when solving 5 - 2(x - 7) = x + 1 + 3x?

Back

5 - 2

Front

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

Back

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