Write Two-Step Equations Lesson #3 Pg. 285

What You’ll Learn Translate sentences into Equations Solve two-step equations

Real World Link You want to attend a two-week robotic day camp that costs $700.00. Your parents will pay the deposit of $400.00 if you pay the rest in weekly payments of $15.00. Complete the Table Payments Amount Paid 400 + 15(0) = $400.00 1 400 + 15(1) = $415.00 2 3 4

Write an Equation Write and solve an equation for the amount of weeks (payments) it will take to pay off the rest. Payments Amount Paid 400 + 15(0) = $400.00 1 400 + 15(1) = $415.00 2 3 4

Steps to Writing Two-Step Equations There are three steps to writing a two step equation Words Describe the situation, Use most important words Variable Define a variable to represent the unknown quantity Equation Translate your verbal model into an algebraic equation

Math Words IS OF There are more, but these are very important Means equals OF Means Multiplication There are more, but these are very important

Example Eight less than three times a number is -23. Words Variable Equation

Example Thirteen is seven more than one-fifth of a number. Words Variable Equation

Example You buy 3 books that each cost the same amount and a magazine, all for $55.99. The magazine costs $1.99. How much is each book? Words Variable Equation

Example A personal trainer buys a weight bench for $500.00 and w weights for $24.99 each. The total cost is $849.86. How many weights were purchased? Words Variable Equation

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