multistep equations

Front

What is a multistep equation?

Back

A multistep 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 move all terms involving the variable to one side of the equation and constant terms to the other side.

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 check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power to simplify the equation.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

The solution is x = 1.

Front

How do you solve the equation -x - 10 + 2x = -1?

Back

First, combine like terms to get x - 10 = -1, then add 10 to both sides to find x = 9.

Front

What is the value of x in the equation -2x - 7 + 3x = 10?

Back

The value of x is 17.

Front

How do you solve for x in the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to get 4x = -36, then divide by 4 to find x = -9.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.