Solving equations by combining like terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the first step in solving an equation?

Back

The first step in solving an equation is to simplify both sides of the equation by combining like terms.

Front

Solve the equation: 3h - 5h + 11 = 17

Back

h = -3

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any operations.

Front

Solve the equation: 12 - 10x + 5x = -18

Back

x = 6

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression: 3(2h + 3c + 2)

Back

6h + 9c + 6

Front

Solve the expression: -9(2g - 3)

Back

-18g + 27

Front

What is an equation?

Back

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