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 each term inside a parentheses.

Front

How do you solve the equation 3(3x - 6) = 18?

Back

First, apply the distributive property: 9x - 18 = 18. Then, add 18 to both sides: 9x = 36. Finally, divide by 9: x = 4.

Front

What is the first step in solving the equation -6x - 4 = -22?

Back

Add 4 to both sides to isolate the term with the variable: -6x = -18.

Front

How do you solve for x in the equation 8v - 4(v + 8) = 8?

Back

First, distribute: 8v - 4v - 32 = 8. Combine like terms: 4v - 32 = 8. Then, add 32 to both sides: 4v = 40. Finally, divide by 4: v = 10.

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 5x - 4 + 2x = 3?

Back

Combine like terms: 7x - 4 = 3. Then, add 4 to both sides: 7x = 7. Finally, divide by 7: x = 1.

Front

What is the solution to the equation -5x - 3 = -23?

Back

Add 3 to both sides: -5x = -20. Then, divide by -5: x = 4.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.