Solving One-Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation 76 = x + 39?

Back

To solve for x, subtract 39 from both sides: x = 76 - 39, which simplifies to x = 37.

Front

What is the solution to the equation 2n = 10?

Back

To find n, divide both sides by 2: n = 10 / 2, which simplifies to n = 5.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

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 in solving the equation x - 5 = 10?

Back

The first step is to add 5 to both sides of the equation: x = 10 + 5, which simplifies to x = 15.

Front

If 3x = 12, what is the value of x?

Back

To find x, divide both sides by 3: x = 12 / 3, which simplifies to x = 4.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation remain equal after performing operations.

Front

How can you check if your solution to an equation is correct?

Back

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