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. It often involves combining like terms, distributing, and isolating the variable.

Front

What is the first step in solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

The first step is to distribute -2 to (x - 7).

Front

What does 'combining like terms' mean?

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 solution to the equation 4a + 3 = 15?

Back

a = 3

Front

What is the correct order of operations when solving multi-step equations?

Back

1. Distribute 2. Combine like terms 3. Get the variable on one side by adding or subtracting 4. Divide or multiply

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 of the equation by itself.

Front

Solve for x: 5x + 2 = 27

Back

x = 5

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 a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.