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

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

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10.

Front

What is the second step to solve the equation 2x = 10?

Back

Divide both sides by 2 to find x = 5.

Front

Write a two-step equation for the scenario: A book costs $15 and you buy x books, spending a total of $60.

Back

15x = 60.

Front

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

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value.

Front

In the equation 3(79.95) + 59r = 534.85, what does 'r' represent?

Back

In this equation, 'r' represents the number of rims Samuel bought.

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 for a word problem?

Back

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

Front

What is the solution to the equation 7x + 35 = 63?

Back

x = 4.