Solving real-world linear equations

Solving real-world linear equations

Multiple Choice

Do Now: 

 $Solve\ for\ y\$  

 $2y\ +\ 5\ =\ 25$  

•  $y\ =\ 15$  

•  $y\ =\ 10$  

•  $y\ =\ 7.5$  

•  $y\ =\ 60$  

Multiple Choice

 $\frac{-12}{k\ }\ =\ 6$                           Solve for k

•  $k\ =\ 72$  

•  $k\ =\ 2$  

•  $k\ =\ -2$  

•  $k\ =\ -18$  

How can we translate a word problem into an algebraic equation?

• Read the problem more than once.

• Write down the missing information that you are trying to solve for i.e. price of a shirt, price of a sandwich, length of a fence, balance in your account etc. Each of these real-world concepts can be represented by a variable.

• Write a let statement...let b represent the missing balance, let p represent price etc.

• Look for keywords such as more than (add), less than (subtract), twice as many (x2), half as much (/2), etc. These phrases will help you write the appropriate linear equation.

• Solve and check. Make sure your answer makes sense in the context of the problem. If you get negative sandwiches you probably didn't write the correct equation.