M Like terms, Variable on both sides, and multii-step Flashcard

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

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation. For example, in the equation 2x + 3 = 7, 'x' is the variable.

Front

What does it mean to move the variable to one side of an equation?

Back

It means to rearrange the equation so that all terms containing the variable are on one side and all constant terms are on the other side.

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 the equation 9 + 2a = -3 - 4a?

Back

The first step is to move the variable to one side, resulting in 9 + 6a = 3.

Front

What is the next step after combining like terms in the equation 3x + 12 + 9x = 72?

Back

The next step is to subtract 12 from both sides, leading to 12x = 60.

Front

What does it mean to isolate the variable?

Back

Isolating the variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

What is the solution to the equation 3x + 12 + 9x = 72?

Back

The solution is x = 5.

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.

Front

What is the next step after simplifying 6(2n + 5) = 66 to 12n + 30 = 66?

Back

The next step is to subtract 30 from both sides, resulting in 12n = 36.