Solve MultiStep Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

What is the first step in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 on the right side, resulting in 4 = 2x + 6.

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 does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any value for the variable will satisfy the equation, indicating that the equation is an identity.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

The first step is to subtract 11 from both sides, resulting in -3x = 33.

Front

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

Back

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

Front

How do you handle equations with variables on both sides?

Back

To solve equations with variables on both sides, you can move the variable terms to one side by adding or subtracting them from both sides.

Front

What is the significance of the distributive property in solving equations?

Back

The distributive property allows you to multiply a single term by each term inside a parenthesis, which is essential for simplifying equations.