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 8v - 4(v + 8) = 8?

Back

Distribute the -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

How do you combine like terms in the equation 4x + 5 - x = 29 - 3?

Back

Combine 4x and -x to get 3x, and combine 5 and -3 to get 2, resulting in 3x + 2 = 26.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

How do you isolate the variable in the equation 5x - 14 = 8x + 4?

Back

First, move all terms involving x to one side and constant terms to the other side: 5x - 8x = 4 + 14.

Front

What does it mean to 'clean up' an equation before solving?

Back

It means to combine like terms and simplify both sides of the equation to make it easier to solve.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 5 in 5x.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as -14 in the equation 5x - 14.