Solving+Words+Problems+Using+Equations


 * Objective**
 * solve word problems using equations

Writing and solving equations is a useful way to solve problems.

Janet walked a total of 17 kilometres in each of the first 3 weeks. Then she walked 5 km in the fourth week. How many kilometres did Janet walk in each of the first 3 weeks.
 * Example**

Let's let d represent the distance Janet walked in kilometres in each of the first 3 weeks.

 So 3 X d or **3d ** represent the total number of kilometres Janet walked in the first 3 weeks.

She walked 5 km in the fourth week, for a total of 17 km.

The equation is: **3d + 5 = 17 ** **//Solving by Inspection//**

3d + 5 = 17

We first find a number which when added to 5 gives 17.


 * 12 ** + 5 = 17 so 3d = 12

Then we find a number which when multiplied by 3 has a product of 12.

3 x **4 ** = 12 so d = 4

Janet walked 4 km during each of the first 3 weeks of February.

//**Inspection**// means finding the value for the variable by using addition, subtraction, multiplication and division

[|Quia Solving Equations] - This is a concentration game that gives you practice in solving equations by inspection.

For each situation write an equation and solve by inspection.
 * Assignment** (in your notebook)

1. Ben takes y caps from a group of 18 caps. There are 12 caps left. How any caps did Ben take away?

2. Ben puts k caps in each of 6 piles. There are 108 caps altogether. How many caps did Ben put in each pile?

3. Ben shares n caps equally among 9 piles. There are 6 caps in each pile. How many caps did Ben have?

4. Ben combines p groups of 4 caps each into one large group. He then takes away 7 caps There are 69 caps left. How many groups of 4 caps did Ben begin with?

5. Eli has 130 key chains. He keeps 10 key chains for himself, then shares the rest equally among his friends. Each friend then has 24 key chains. How many friends were given key chains?

Answers (note equations and all of your work must be shown in your notebook)

1. 6 2. 18 3. 54 4. 14 5. Check with Ms Gatzke