Linear real life problems

Solving Real-Life Problems

​Four-Step Approach to Problem Solving

1. Understand the Problem What is the unknown? What information is being given? What is being asked?


2. Make a Plan This plan might involve one or more of the problem-solving strategies.


3. Solve the Problem Carry out your plan. Check that each step is correct.


4. Look Back Examine your solution. Check that your solution makes sense in the original statement of the problem

​On January 22, 1943, the temperature in Spearfish, South Dakota, fell from 54°F at 9:00 a.m. to −4°F at 9:27 a.m. How many degrees did the temperature fall?

​In the 2012 Olympics, Usain Bolt won the 200-meter dash with a time of 19.32 seconds. Write and solve an equation to find his average speed to the nearest hundredth of a meter per second.

​1. Understand the Problem You know the winning time and the distance of the race. You are asked to find the average speed to the nearest hundredth of a meter per second

​2. Make a Plan Use the Distance Formula to write an equation that represents the problem. Then solve the equation.

​The temperature at 5 p.m. is 20°F. The temperature at 10 p.m. is -5°F. How many degrees did the temperature fall?

​The length of an 9.5 ft American flag is 1.9 times its width. What is the width of the flag?

​29. The sum of twice a number and 13 is 75.

30. The difference of three times a number and 4 is −19.

31. Eight plus the quotient of a number and 3 is −2.

32. The sum of twice a number and half the number is 10.

\33. Six times the sum of a number and 15 is −42.

34. Four times the difference of a number and 7 is 12