Multi-Step Equations (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 for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side. This may involve adding, subtracting, multiplying, or dividing.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

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. This simplifies the equation.

Front

What is the first step in solving the equation 1 = 6x + 2 - 7x?

Back

The first step is to combine like terms on the right side of the equation, which gives you 1 = -x + 2.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 112 = 4 - 4(1 + 7x)?

Back

The solution is x = -4.

Front

What does it mean if an equation simplifies to 0 = 0?

Back

If an equation simplifies to 0 = 0, it means that there are infinitely many solutions, as any value for the variable will satisfy the equation.

Front

What is the solution to the equation 0 = -7a - 8a?

Back

The solution is a = 0.

Front

How do you solve the equation 8(1 + 5n) + 8 = -144?

Back

First, apply the distributive property: 8 + 40n + 8 = -144. Then combine like terms and isolate n to find n = -4.