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

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 4x - 9x + 3 = -32?

Back

Combine like terms: 4x - 9x becomes -5x, so the equation simplifies to -5x + 3 = -32.

Front

What does it mean to combine like terms?

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 38 + 7k = 8(k + 4)?

Back

The solution is k = 6.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation x/3 + 10 = 15?

Back

The solution is x = 15.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' if there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is the solution to the equation 4(-8x + 5) = -32x - 26?

Back

The equation has no solution.

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.