Using Substitution to Solve an Equation

Front

What is substitution in solving equations?

Back

Substitution is a method used to replace a variable with a known value to simplify and solve an equation.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation 45 + z = 92?

Back

Subtract 45 from both sides to isolate z.

Front

What is the solution to the equation x + 12 = 20?

Back

x = 20 - 12 = 8.

Front

How do you solve the equation 6b = 30?

Back

Divide both sides by 6 to find b.

Front

Back

Multiply both sides by b and then divide by 8 to find b = 9.

Front

What is the solution to the equation 9n = 27?

Back

Divide both sides by 9 to find n = 3.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the found value back into the original equation to verify it makes the equation true.

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.

Front

What is the purpose of solving equations?

Back

The purpose of solving equations is to find the value of the unknown variable that makes the equation true.