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

How do you solve the equation 3x + 5 = 20?

Back

1. Subtract 5 from both sides: 3x = 15. 2. Divide both sides by 3: x = 5.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve the equation 2(x + 3) = 16.

Back

1. Apply the distributive property: 2x + 6 = 16. 2. Subtract 6 from both sides: 2x = 10. 3. Divide by 2: x = 5.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, making it easier to solve for its value.

Front

How do you combine like terms in the expression 4x + 3x - 2?

Back

Combine 4x and 3x to get 7x. The expression simplifies to 7x - 2.

Front

What is the first step in solving the equation 5x - 2 = 3x + 6?

Back

The first step is to get all terms involving x on one side and constant terms on the other. You can do this by subtracting 3x from both sides: 2x - 2 = 6.

Front

Solve the equation 4(x - 1) + 2 = 10.

Back

1. Distribute: 4x - 4 + 2 = 10. 2. Combine like terms: 4x - 2 = 10. 3. Add 2 to both sides: 4x = 12. 4. Divide by 4: x = 3.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient.

Front

How do you check your solution for the equation 2x + 4 = 12?

Back

Substitute your solution back into the original equation. If the left side equals the right side, your solution is correct.