Multi Step Equations with Variables on Both Sides

Front

What is the goal of solving multi-step equations?

Back

Find the value of the variable.

Front

Solve for x: 6x + 3 = 8x - 21

Back

x = 12

Front

Solve for x: 6x + 5 = 10 + 5x

Back

x = 5

Front

Solve for y: -20y + 15 = 2 - 16y + 11

Back

y = 1/2

Front

Solve for k: 12k + 15 = 35 + 2k

Back

k = 2

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 constants are on the other.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change.

Front

What is the first step in solving a multi-step equation?

Back

Combine like terms and simplify both sides of the equation.

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 equation, requiring manipulation to isolate it.