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, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you simplify the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x, so the simplified expression is 9x + 1.

Front

What is the first step to solve the equation -5x = 25?

Back

To solve for x, divide both sides of the equation by -5.

Front

What is the solution to the equation -5x = 25?

Back

x = -5.

Front

How do you solve the equation 5(b - 2) = 15?

Back

First, distribute 5: 5b - 10 = 15. Then, add 10 to both sides: 5b = 25. Finally, divide by 5: b = 5.

Front

What does it mean to distribute in an equation?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

Front

How do you simplify the expression -2x + 11 + 6x?

Back

Combine like terms: -2x + 6x = 4x, so the simplified expression is 4x + 11.

Front

What is the solution to the equation -(n - 8) = -2?

Back

First, distribute the negative: -n + 8 = -2. Then, subtract 8 from both sides: -n = -10. Finally, multiply by -1: n = 10.

Front

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

Back

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

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constant on the other.