DOL 6/12

Front

What is the first step in solving the equation 7x – 5 – 8x = 5 + 4x + 20?

Back

Combine like terms on both sides of the equation.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 7x – 5 – 8x = 5 + 4x + 20?

Back

The solution is x = -6.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, you need to perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the purpose of using a graphing tool like Desmos in solving equations?

Back

A graphing tool helps visualize the equation and find the point of intersection, which represents the solution.

Front

What does the term 'equation' mean in mathematics?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

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

Back

The equal sign indicates that the values on both sides of the equation are the same.

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'solving for x' mean?

Back

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