Solving Multi-Step Linear Equations {Day 1}

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 for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the first step in solving the equation 6n + 2n = 16?

Back

Combine like terms to get 8n = 16.

Front

Solve for n: 60 = 2n + 12 + 4n

Back

n = 8

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across terms inside parentheses.

Front

Solve for x: 3x + 2(4x - 4) = 3

Back

x = 1

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to solve for its value, making it easier to understand the relationship between the variables.

Front

What does it mean to simplify an equation?

Back

Simplifying an equation means to reduce it to its simplest form, often by combining like terms and eliminating unnecessary terms.

Front

What is the solution to the equation 60 = 6n + 12?

Back

n = 8