Solving Equations with Variables on Both Sides

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

Combine like terms by moving all terms involving x to one side and constant terms to the other side.

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

What is the first step to solve the equation 3x + 6 = 10 + 3x + 4x?

Back

Combine like terms 3x and 4x on the same side of the equation.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

Solve for a: 8 - 3a + 12 = 2a

Back

a = 4

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the principle of balancing equations?

Back

The principle states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.