Variables on Both Sides

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation -7x - 36 = 20 - 3x?

Back

Combine like terms by adding 3x to both sides.

Front

What is the solution to the equation 3 + 12(3p + 2) = 9(p - 3)?

Back

p = -2.

Front

What happens when you multiply both sides of an equation by the same number?

Back

The equality is maintained, meaning both sides remain equal.

Front

What is the solution to the equation -12(x - 1) = -3(x - 1)?

Back

x = 1.

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 is the solution to the equation -49 - x = -8x + 70?

Back

x = 17.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.