Solving Equations - Combining Like Terms

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the first step in solving an equation?

Back

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

Front

Solve for x: 16x - 8 - 9x = 27

Back

x = 5

Front

Solve for x: -8 + 5x - 2 = 20

Back

x = 6

Front

Solve for x: 5x - 4 + 2x = 3

Back

x = 1

Front

Solve for x: 6x + 5x - 3x - 2x = -54

Back

x = -9

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

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.