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.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

Distribute the 3 to both terms inside the parentheses: -11 + 3b + 15 = 7.

Front

How do you isolate the variable in the equation 2x - 3 + 4x = 27?

Back

Combine like terms (2x + 4x) to get 6x - 3 = 27, then add 3 to both sides.

Front

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

Back

The solution is x = 1.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the purpose of distributing in an equation?

Back

Distributing is used to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

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

Back

The solution is x = 4.

Front

What is the first step to solve the equation x - 5 = 7 - 2x?

Back

Add 2x to both sides of the equation.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the result of adding the same number to both sides of an equation?

Back

The equality of the equation is maintained; both sides remain equal.