2016­09­19 Linear Word Problems.notebook
September 19, 2016
Today Is Monday
9/19
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Multistep Equations Word Problems
Skip 5 and 6!!
Warm Up: Translate the phrase into an
algebraic expression
1) Seven more than twice a number
2) Four less than three times a number
3) Five times the sum of a number and two
2016­09­19 Linear Word Problems.notebook
September 19, 2016
HW Answers
1) like terms
15) 6 min
3) w = 4
17) z = 3
5) q = 1
19) m = 3
7) z = ­32
21) c = 5
9) h = 4
23) x = 29
11) y = 4
25) k = 45
13) v = 3
45, 45, 90, 45
27) b = 90
90, 135, 90, 90, 135
2016­09­19 Linear Word Problems.notebook
September 19, 2016
2016­09­19 Linear Word Problems.notebook
September 19, 2016
Today's Objective
Translating Linear Word Problems
The sum of a number and five more than the number is 17. What is the number?
(a) First experiment with some numbers.
(b) Now, let's write a let statement and an
equation that relates the quantities of
interest. Solve to find the number
2016­09­19 Linear Word Problems.notebook
September 19, 2016
Solving Linear Word Problems
1) Write a let statement
2) Create an equation to model the situation
3) Solve the equation
4) Verify that your answer is reasonable
1) Find three consecutive integers such that
their sum is 51.
2016­09­19 Linear Word Problems.notebook
September 19, 2016
2) Find two consecutive even numbers such
that their sum is 94.
3) Last season two running backs on the Chicago Bears combined for a total of 1550 yards. One rushed 4 times as many yards as the other. How much did each run? 2016­09­19 Linear Word Problems.notebook
September 19, 2016
4) A particular Algebra text has a total of 1382 pages which is broken up into two parts. The second part of the book has 64 more pages. How many pages are in each section?
5) A triangle's second side is five more than the first side. The third side is 2 times the first. If the triangle's perimeter is 85 meters, give the length of each side.
2016­09­19 Linear Word Problems.notebook
September 19, 2016
6) A rectangle's length is 4 more than 6
times the width. The perimeter is 64 inches.
Give the dimensions.
7) Samantha has 30 coins, consisting of
quarters and dimes. The total amount is
$5.70. How many of each coin does she have.
2016­09­19 Linear Word Problems.notebook
September 19, 2016
8) 16 years from now, Pia's age will be twice
her age 12 years ago. Find her present age.
Challenge!
There is a competition at the local movie theater for free movie tickets. You must guess all four employees’ ages given a few clues. The first clue is that when added together, their ages total 106 years. Kirk is twice ten years less than the manager’s age, Brian is 12 years younger than twice the manager’s age, and Matt is 6 years older than half the manager’s age. What are all four of their ages? It may help to set up four let statements, one for each employee (including the manager). 2016­09­19 Linear Word Problems.notebook
September 19, 2016
2016­09­19 Linear Word Problems.notebook
September 19, 2016