Two Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation 13 = 5m - 2?

Back

Add 2 to both sides to eliminate the constant term: 15 = 5m.

Front

What is the solution to the equation 7k - 14 = 42?

Back

First, add 14 to both sides to get 7k = 56, then divide by 7 to find k = 8.

Front

How do you check the solution of an equation?

Back

Substitute the solution back into the original equation to verify if both sides are equal.

Front

What is the solution to the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18, then divide by 3 to find c = 6.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it.

Front

What is the solution to the equation 2x + 10 = 16?

Back

Subtract 10 from both sides to get 2x = 6, then divide by 2 to find x = 3.

Front

How do you solve the equation 5x - 1 = 19?

Back

Add 1 to both sides to get 5x = 20, then divide by 5 to find x = 4.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.