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 isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the distributive property?

Back

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

Front

How do you solve the equation 5(2x - 10) + 2 = 30?

Back

First, distribute 5: 10x - 50 + 2 = 30. Then combine like terms: 10x - 48 = 30. Add 48 to both sides: 10x = 78. Finally, divide by 10: x = 7.8.

Front

What is the first step in solving the equation 3(4x - 3) = 27?

Back

The first step is to distribute 3: 12x - 9 = 27.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

How do you solve the equation -5(x - 3) = 60?

Back

First, distribute -5: -5x + 15 = 60. Then subtract 15 from both sides: -5x = 45. Finally, divide by -5: x = -9.

Front

What is the solution to the equation 2(10x + 10) = 60?

Back

First, distribute 2: 20x + 20 = 60. Then subtract 20 from both sides: 20x = 40. Finally, divide by 20: x = 2.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.