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, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation 3k + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with the variable: 3k = 18.

Front

How do you isolate the variable in the equation 3k = 18?

Back

Divide both sides by 3 to find k: k = 6.

Front

What is the solution to the equation 19 + a = -50?

Back

Subtract 19 from both sides to isolate a: a = -69.

Front

What is the first step to solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27.

Front

How do you solve for x in the equation 6x - 3 = 27?

Back

Add 3 to both sides: 6x = 30, then divide by 6: x = 5.

Front

What does the distributive property state?

Back

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

Front

How do you solve the equation 3(x - 4) = -3?

Back

First, distribute 3: 3x - 12 = -3. Then add 12 to both sides: 3x = 9, and divide by 3: x = 3.

Front

What is the solution to the equation -4x + 1 = 21?

Back

Subtract 1 from both sides: -4x = 20, then divide by -4: x = -5.

Front

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

Back

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