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 -14 = 4x - 2?

Back

The first step is to add 2 to both sides of the equation to eliminate the constant on the right side.

Front

What is the solution to the equation 8 - 5b = -7?

Back

The solution is b = 3, found by first adding 5b to both sides and then dividing by 5.

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 solve for c in the equation 3c + 5 = 23?

Back

Solving for c means finding the value of c that makes the equation true, which in this case is c = 6.

Front

What is the process to solve the equation 2x - 3 = 1?

Back

Add 3 to both sides to get 2x = 4, then divide both sides by 2 to find x = 2.

Front

What is the significance of the coefficient in an equation?

Back

The coefficient is the number that multiplies the variable, indicating how many times the variable is counted.

Front

How do you handle negative coefficients in equations?

Back

You treat negative coefficients like any other number, applying inverse operations to isolate the variable.

Front

What is the solution to the equation 9a - 11 = 61?

Back

The solution is a = 8, found by adding 11 to both sides and then dividing by 9.