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 step, typically involving addition, subtraction, multiplication, or division.

Front

How do you solve the equation 10 = k + 19?

Back

Subtract 19 from both sides: k = 10 - 19, so k = -9.

Front

Back

Multiply both sides by 3: p = -6 * 3, so p = -18.

Front

How do you solve the equation a - 19 = -30?

Back

Add 19 to both sides: a = -30 + 19, so a = -11.

Front

What is the solution to the equation 3w = 15?

Back

Divide both sides by 3: w = 15 / 3, so w = 5.

Front

How do you solve the equation 20 = k + 16?

Back

Subtract 16 from both sides: k = 20 - 16, so k = 4.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself.

Front

What is the first step in solving a one-step equation?

Back

Identify the operation being performed on the variable and perform the inverse operation.

Front

What is an example of a one-step addition equation?

Back

An example is x + 5 = 12. To solve, subtract 5 from both sides: x = 12 - 5, so x = 7.