Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable. For example, in 2m + 6m, combine to get 8m.

Front

What is the first step in solving the equation 2m + 6m = 32?

Back

The first step is to combine like terms: 2m + 6m becomes 8m, so the equation simplifies to 8m = 32.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 8m = 32?

Back

m = 4, found by dividing both sides by 8.

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

x = -1, found by first dividing both sides by 2, then subtracting 3.

Front

How do you solve the equation 4 - 2(x - 3) = 24?

Back

First, distribute -2 to get 4 - 2x + 6 = 24, then combine like terms and isolate x to find x = -7.

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 is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.