2-4 Solving Equations with Variables on Both Sides

Front

Solve: 12x + 1 = 6x - 47

Back

x = -8

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

Solve: 3x + 16 = 7x + 64

Back

x = -12

Front

Solve: 9x + 1 = 64

Back

x = 7

Front

Solve: 4k + 24 = 6k -10

Back

k = 17

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' in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

What is the purpose of checking your solution after solving 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 fractions when solving equations?

Back

You can multiply both sides of the equation by the least common denominator to eliminate the fractions.