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 such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What does it mean to distribute in an equation?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

Front

Solve for x: 2(x + 5) = 20.

Back

x = 5.

Front

What is the last step to solve the equation 2x - 3 + 4x = 27?

Back

Divide by 6 on both sides.

Front

What is the solution to the equation 10(h + 1) - 4 = 76?

Back

h = 7.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the solution to the equation 2(m + 10) = 4(m - 15)?

Back

m = 40.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.