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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation 7z - 5 = 16?

Back

Add 5 to both sides of the equation to isolate the term with the variable: 7z = 21.

Front

How do you isolate the variable in the equation 8v - 4(v + 8) = 8?

Back

First, distribute -4 to (v + 8) to get 8v - 4v - 32 = 8, then combine like terms and solve for v.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 4 + k/2 = -3?

Back

The solution is k = -14.

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

How do you solve the equation 5x - 4 + 2x = 3?

Back

Combine like terms to get 7x - 4 = 3, then add 4 to both sides and divide by 7 to find x = 1.

Front

What is the solution to the equation 9 - 2z = 1?

Back

The solution is z = 4.

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.

Front

What does it mean to isolate a variable?

Back

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