Modeling and Solving Equations with variables on both sides

Front

What is represented by the model?

Back

2b + 8 = 12

Front

Solve for w in the equation: 8w - 8 = -4x + 16

Back

w = 2

Front

What is the inverse of addition?

Back

Subtraction

Front

Solve for y in the equation: -8y = -3y - 15

Back

y = 3

Front

Solve for x in the equation: 7x = 5x - 12

Back

x = -6

Front

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

Back

Isolate one variable on one side of the equation.

Front

What does it mean to 'combine like terms' in an equation?

Back

It means to simplify expressions by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation: 3x + 5 = 2x + 10?

Back

x = 5

Front

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

Back

To isolate the variable and solve for its value.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that makes the equation true.