Solving for a Variable (+/-)

Front

What is the process of solving for a variable in an equation?

Back

The process involves isolating the variable on one side of the equation by performing inverse operations.

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

If Davi had a debt of 3 dollars and ended up with 11 dollars, how do you find out how much he had initially?

Back

You add the debt to the final amount: 11 + 3 = 14 dollars.

Front

What operation would you use to find out how many marbles Davi has if Lori has 765 marbles, which is 254 more than Davi?

Back

You would use subtraction: 765 - 254 = 511 marbles.

Front

How do you solve the equation 38 = m - 15 to find m?

Back

You add 15 to both sides: m = 38 + 15 = 53.

Front

What is the first step to solve the equation x + 5 = 12?

Back

Subtract 5 from both sides: x = 12 - 5 = 7.

Front

If Lori had 27 candies left after giving away 18, how do you find out how many she originally had?

Back

You add the candies given away to the candies left: 27 + 18 = 45 candies.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to get the variable alone on one side of the equation to solve for its value.

Front

In the equation 4x = 20, how do you solve for x?

Back

You divide both sides by 4: x = 20 / 4 = 5.

Front

What is the solution to the equation m - 10 = 5?

Back

You add 10 to both sides: m = 5 + 10 = 15.