Combining Like Terms & Solving Equations

Front

What are like terms in algebra?

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 are alike. 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: 3x - x + 2 = 4(2x - 1)

Back

x = 1

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

Solve the equation: 6x + 3x = 18

Back

x = 2

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true. For example, x + 1 = x - 1 has no solution.

Front

Which equation has a solution of x = 1? 2x + 1 = 12, 5x - 2 = 3, x + 1 = x - 1, 5 - x = 6

Back

5x - 2 = 3

Front

Solve the equation: 22 + 2a = 37 + 6 + a

Back

a = 21

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 two or more terms inside a set of parentheses.