Solving Equations Combining

Front

What is the first step in solving a linear equation with variables on both sides?

Back

The first step is to simplify both sides of the equation, if necessary, and then move all variable terms to one side and constant terms to the other side.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of the same variable or constant terms.

Front

What is the process for isolating a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

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

Back

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

Front

What is the importance of checking your solution after solving an equation?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed and can be written in the form ax + b = c.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How do you handle equations with fractions?

Back

To handle equations with fractions, you can multiply both sides of the equation by the least common denominator to eliminate the fractions.

Front

What is the distributive property and how is it used in solving equations?

Back

The distributive property states that a(b + c) = ab + ac. It is used to simplify expressions by distributing a multiplier across terms inside parentheses.

Front

What is the solution to the equation 7x - 4x = 27?

Back

The solution is x = 9.