One Step Equations and Word Problems

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the same operation on both sides to isolate the variable.

Front

How do you solve the equation x + 5 = 12?

Back

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

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the solution to the equation 3x = 12?

Back

Divide both sides by 3: x = 12 / 3, so x = 4.

Front

How do you solve the equation 9x = 153?

Back

Divide both sides by 9: x = 153 / 9, so x = 17.

Front

What equation represents the situation: 'A number decreased by 4 equals 10'?

Back

The equation is x - 4 = 10.

Front

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

Back

Subtract 12 from both sides: x = 20 - 12, so x = 8.

Front

How do you solve the equation 1467 + x = 1653?

Back

Subtract 1467 from both sides: x = 1653 - 1467, so x = 186.

Front

What does it mean to 'add' in the context of solving equations?

Back

Adding is the process of increasing a number by another number, often used to isolate a variable.