Solving Two Step Equations with Rational Numbers

Front

What is a two-step equation?

Back

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

Front

What is the first step to solve the equation 3x - 5 = 20?

Back

Add 5 to both sides.

Front

What do you do after isolating the variable term in a two-step equation?

Back

You perform the inverse operation to solve for the variable.

Front

Solve for x: 3(2x + 5) = 39

Back

x = 4.

Front

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

Back

To isolate the variable and find its value.

Front

What is the solution to the equation -4(8 + 5n) = 8?

Back

n = -2.

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.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the result of dividing both sides of an equation by the same non-zero number?

Back

The equality is maintained.

Front

Solve for n: -4(8 + 5n) = 8

Back

n = -2.