Solving One and Two Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to isolate the variable and solve for it.

Front

How do you solve the equation m + 3 = 11?

Back

Subtract 3 from both sides to isolate m: m = 11 - 3, so m = 8.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

How do you isolate the variable in the equation p - 254 = 765?

Back

Add 254 to both sides to isolate p: p = 765 + 254.

Front

What is the solution to the equation 4p = 20?

Back

Divide both sides by 4 to isolate p: p = 20 / 4, so p = 5.

Front

How do you combine like terms in the equation 2x - 3 + 4x = 27?

Back

Combine 2x and 4x to get 6x - 3 = 27.

Front

What is the first step to solve the equation 2x + 16 = 130?

Back

Subtract 16 from both sides: 2x = 130 - 16.

Front

What is the final solution for x in the equation 2x + 16 = 130?

Back

After isolating x, divide both sides by 2: x = (130 - 16) / 2, so x = 57.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.