Solve One-Step Equations with integers

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

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

How do you solve the equation x + 7 = 12?

Back

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

Front

What is the first step to solve the equation 3x = 15?

Back

Divide both sides by 3 to isolate x: x = 15 / 3, so x = 5.

Front

What is the purpose of performing the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation.

Front

If you have the equation x - 4 = 10, what is the next step to solve for x?

Back

Add 4 to both sides: x = 10 + 4, so x = 14.

Front

What is the solution to the equation 5 + y = 12?

Back

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

Front

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

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation -3x = 9?

Back

Divide both sides by -3: x = 9 / -3, so x = -3.