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

Front

What is the first step in solving the equation -8 = -(2x + 4)?

Back

The first step is to distribute the negative sign on the right side: -8 = -2x - 4.

Front

How do you isolate the variable in the equation 2x - 3 + 4x = 27?

Back

Combine like terms (2x + 4x = 6x) to get 6x - 3 = 27, then add 3 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 5p - 14 = 8p + 4?

Back

The solution is p = -6.

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 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 for x in the equation 3x + 15 - 7x = -7?

Back

Combine like terms (3x - 7x = -4x) to get -4x + 15 = -7, then isolate x by subtracting 15 from both sides and dividing by -4.

Front

What is the solution to the equation -20 = -4x - 6x?

Back

The solution is x = 2.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

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.