MultiStep 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 to solve the equation 9c - 3c = 48?

Back

Combine like terms on the left side to simplify the equation to 6c = 48.

Front

What is the solution to the equation x/2 = -10?

Back

Multiply both sides by 2 to get x = -20.

Front

How do you solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18, then divide by 3 to find c = 6.

Front

What does the equation 4 = 2(x + 3) represent?

Back

It represents a linear equation that can be solved by distributing and isolating x.

Front

What is the solution to the equation 11 = 3z + 5?

Back

Subtract 5 from both sides to get 6 = 3z, then divide by 3 to find z = 2.

Front

What is the importance of checking your solution in multi-step equations?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its accuracy.

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 handle negative numbers in equations?

Back

When dealing with negative numbers, apply the same rules of arithmetic, keeping track of signs to avoid errors.