Equations with Combining Like Terms OR Distributive Property

Front

What is the process of combining like terms in an equation?

Back

Combining like terms involves simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 3x + 12 + 9x = 72

Back

x = 5

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Solve for x: 3(2x + 5) = 39

Back

x = 4

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

Solve for x: 10 - 5x + 20 = 50

Back

x = -4

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable by moving all terms involving the variable to one side of the equation.

Front

Solve for p: 11p = 121

Back

p = 11

Front

What does it mean to isolate a variable?

Back

Isolating 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

Solve for x: 55 = 5x + 5

Back

x = 10