Solving One Step Equations using Addition or Subtraction

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 either addition or subtraction to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform the inverse operation on both sides of the equation to get the variable by itself.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

If the equation is 9 + t = 56, what is the first step to solve for t?

Back

Subtract 9 from both sides of the equation.

Front

In the equation x + 7 = 12, what operation would you perform to isolate x?

Back

You would subtract 7 from both sides of the equation.

Front

What is the solution to the equation a + 4 = 14?

Back

The solution is a = 10, found by subtracting 4 from both sides.

Front

If w + 14 = 10, what is the value of w?

Back

The value of w is -4, found by subtracting 14 from both sides.

Front

What does it mean to 'show your work' in solving equations?

Back

'Showing your work' means to clearly outline each step taken to solve the equation, demonstrating the process used to arrive at the solution.

Front

How can you check your solution for an equation?

Back

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