Solving Multi-step Linear Equations

Front

What is a multi-step linear equation?

Back

A multi-step linear equation is an equation that requires more than one step to solve, involving operations such as addition, subtraction, multiplication, and division to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to begin isolating the variable.

Front

Solve: 4x + 10 = -26

Back

x = -9

Front

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

Back

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

Front

Solve: 5x - 4 + 2x = 3

Back

x = 1

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: 3(x - 2) = 18

Back

x = 8

Front

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

Back

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

Front

Solve: 8v - 4(v + 8) = 8

Back

v = 10