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 + 7 = 23?

Back

Subtract 7 from both sides to get 4x = 16.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

Combine like terms to get 7x - 4 = 3, then add 4 to both sides to find 7x = 7, so x = 1.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then add 3 to both sides to find 6x = 30, so x = 5.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

Solve for x: 5(2x + 3) = 45.

Back

Distribute to get 10x + 15 = 45, then subtract 15 from both sides to find 10x = 30, so x = 3.

Front

What is the solution to the equation 3(x - 1) = 2x + 9?

Back

Distribute to get 3x - 3 = 2x + 9, then subtract 2x from both sides to find x - 3 = 9, so x = 12.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 4 in 4x.