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 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 equation that requires two operations to isolate the variable, usually involving addition or subtraction followed by multiplication or division.

Front

How do you solve the equation -15 = (7 - r) / 4?

Back

To solve for r, multiply both sides by 4 to get -60 = 7 - r, then isolate r to find r = 67.

Front

What is the first step to solve the equation (n - 7) / -2 = -11?

Back

Multiply both sides by -2 to eliminate the fraction, resulting in n - 7 = 22.

Front

How do you isolate the variable p in the equation 6p - 5 = -17?

Back

Add 5 to both sides to get 6p = -12, then divide by 6 to find p = -2.

Front

What is the solution to the equation (p - 20) / 4 = -7?

Back

Multiply both sides by 4 to get p - 20 = -28, then add 20 to both sides to find p = -8.

Front

How do you solve the equation a/6 + 2 = -4?

Back

Subtract 2 from both sides to get a/6 = -6, then multiply both sides by 6 to find a = -36.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

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

Back

Isolating a variable means manipulating the equation so that the variable is on one side and all other terms are on the opposite side.