Solve for X and Equivalent Equations

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and performing operations to reduce the expression to its simplest form.

Front

What does it mean to solve for X in an equation?

Back

Solving for X means finding the value of the variable X that makes the equation true.

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable.

Front

What is the distributive property?

Back

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

Front

How do you apply the distributive property to simplify an expression?

Back

To apply the distributive property, multiply the term outside the parentheses by each term inside the parentheses and then combine like terms.

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation, even if the expressions on either side are different.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable on one side of the equation and the constant on the other.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

The first step is to move all terms involving f to one side and constant terms to the other side.

Front

What is the result of simplifying the expression 2x + 1 + 7x?

Back

The result is 9x + 1, as you combine the like terms 2x and 7x.