Solving Equations with Distributing and Combining Like Terms

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Solve for x: 2(3x + 4) = 10

Back

x = 1/3

Front

What is the first step in solving the equation 6x - 3 = 27?

Back

Add 3 to both sides to isolate the term with x.

Front

Solve for x: 6x - 3 = 27

Back

x = 5

Front

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

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for x: 2x + 5 - 3x = 12

Back

x = -7

Front

What is the purpose of simplifying an equation before solving it?

Back

Simplifying an equation makes it easier to solve by reducing complexity and eliminating unnecessary terms.

Front

Solve for x: 5(x - 2) + 3 = 18

Back

x = 5

Front

What is a solution to an equation?

Back

A solution to an equation is a value of the variable that makes the equation true.