Solve Equations with Distribution and Combine Like Terms

Front

What is the distributive property in mathematics?

Back

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

Front

Solve for x: 4(2 – x) + 2x = 13 – 3x

Back

x = 5

Front

What does it mean to combine like terms?

Back

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

Front

Solve the equation: 3(4 – 2x) + 4x = 2

Back

x = 5

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

Solve by combining like terms: 2x + 4 = 3x – 6

Back

x = 10

Front

What is the first step in solving an equation with distribution?

Back

The first step is to apply the distributive property to eliminate parentheses.

Front

Solve the equation: 3(2x + 3) = 21

Back

x = 2

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

Solve for x: 3(2x – 5) – 4x = –19

Back

x = –2