Two and 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 by performing the inverse operation to isolate the variable.

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two steps to solve, usually involving two inverse operations to isolate the variable.

Front

How do you solve the equation 3b - 18 = 18 for b?

Back

Add 18 to both sides to get 3b = 36, then divide by 3 to find b = 12.

Front

What is the first step to solve the equation 2d + 7 = 9?

Back

Subtract 7 from both sides to isolate the term with the variable: 2d = 2.

Front

How do you solve the equation x/1 + 3 = 33 for x?

Back

Subtract 3 from both sides to get x/1 = 30, then multiply by 1 to find x = 30.

Front

What is the solution to the equation x/4 + 8 = 10?

Back

Subtract 8 from both sides to get x/4 = 2, then multiply by 4 to find x = 8.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to isolate the variable on one side of the equation, allowing us to find its value.

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 alone on one side, making it easier to solve.

Front

What is the solution to the equation 2x - 5 = 9?

Back

Add 5 to both sides to get 2x = 14, then divide by 2 to find x = 7.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.