Solving Equations with variables on both sides

Front

What is the solution to the equation -2m = -18?

Back

9

Front

Simplify the expression: 8(5 + w)

Back

40 + 8w

Front

What is the result of simplifying -2(x + 5)?

Back

-2x - 10

Front

Solve for p in the equation: 14p - 8 = 22 + 20p

Back

p = -5

Front

What is the simplified form of -8x + 4x?

Back

-4x

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms on both sides of the equation.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to get the variable alone on one side of the equation.

Front

What is the distributive property?

Back

a(b + c) = ab + ac, used to simplify expressions.

Front

What is the solution to the equation 3x + 5 = 2x + 12?

Back

7