Writing Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

Translate the phrase 'four more than six times a number' into an equation.

Back

4 + 6x

Front

What does 'x' represent in an equation?

Back

In an equation, 'x' typically represents the unknown variable that we are trying to solve for.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first eliminate the constant, then the coefficient.

Front

What is the first step to solve the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to isolate the term with x.

Front

What is the equation for the total cost of an electrician's service after x hours?

Back

y = 90x + 50

Front

If Penelope spends $35 at the carnival, what equation represents her spending?

Back

0.50x + 20 = 35

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as the $20 entry fee in the carnival example.

Front

How do you check if your solution to a two-step equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the purpose of writing an equation from a word problem?

Back

Writing an equation helps to translate a real-world scenario into a mathematical form that can be solved.