Solving equations with variables on both sides

Front

Solve: 3x + 16 = 7x + 64

Back

x = -12

Front

Solve: 14p - 8 = 22 + 20p

Back

x = -5

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

Solve: -5k + 10 = -2k - 14

Back

k = 8

Front

Solve: 7w + 5 = 3w - 15

Back

w = -5

Front

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

Back

Isolate one variable by moving terms involving that variable to one side of the equation.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

What is the principle of equality in solving equations?

Back

If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

How do you handle negative coefficients when solving equations?

Back

You can add or subtract the negative coefficient to isolate the variable.