Problem Solving

Section 1.6

Problem Solving is easy if you follow these steps

Understandthe

problem

Steps – Understand the problem• Read the problem carefully.• Find the important information.• Write down the numbers.• Identify what the problem wants

you to solve.• BE THE PROBLEM!

EX 1

• Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week?

Total = 31 1st week =14 2nd week = ?Write an equation: 14 + s = 31

17 points earned the second week

Write an equation to solve this problem.

• Jaylynn had $84.75 in her savings account. She made a deposit. Her new balance was $107.03. How much was her deposit?

$84.75 + d = $107.03OR

$107.03 – $84.75 = d

Write an equation to solve this problem.

• Anthony has twice as many pokemon cards as Joshua. If Anthony has 124 cards, how many does Joshua have?

2d = 124OR d = 124/2

Write an equation to solve this problem.

• Vicki baked 90 cookies . If there are 15 cookies in each batch. How many batches did she bake?

15b = 90OR b = 90/15

Write an equation to solve this problem.

• Navneet has 3 times as many CD’s as Arlene. If Navneet has 36 CD’s, how many does Arlene have?

3c = 36OR c = 36/3

Write an equation to solve this problem.

• A square has a perimeter of 48 inches. What is the length of each side of the square.

4s = 48

OR s = 48/4

Write an equation to solve this problem.

• One year the city ambulance responded to emergencies on 293 days. How many days were there no emergencies?

293 + d = 365

OR d = 365 - 293

On your own:

•A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?

CHALLENGE QUESTION:

Step 2 - Decide how you’re going to solve the problem

Make your diagram

NE

SWstart

1 mile

finish

Step 4 - Look Back & CheckDid you solve what the problem

asked you to solve?

NE

SW

start

1 milefinish

1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east

How far is the troop from their starting point?

one mile

Draw a diagram to solve this problem.

• A picture frame with a photo is 15 inches wide and 12 inches high. A mat around the photo is 1 ½ inches wide on all sides. What are the dimensions of the photo?

1512

1 ½

1 ½1 ½

1 ½

15”12”

1 ½

1 ½1 ½

1 ½

1 ½1 ½

+

3

15”12”

1 ½

1 ½1 ½

1 ½

15 3-12

15”12”

1 ½

1 ½1 ½

1 ½

12 3-9

12”9”

1 ½

1 ½1 ½

1 ½12 3+15 9 3+12

Draw a diagram to solve this problem.• The Zunigas, Estoleros, Leys, Penas

and Rices all live on the same road in a row. The Estoleros live in the middle house. The Penas live in the first house. The Leys live between the Estoleros and the Zunigas. Who lives in the second house?

EP ZLR

Now the overhead problem along

Soccer field vs Football field