Math 106 Winter 2016 Assignment 5 - Solutions
1. Write the augmented matrix for the following system of linear equations. Solve this system using elementary
row operations (indicate which operations you are using). Write down the complete solution to this
1. Amys paycheck for Tuesday is 80% of her paycheck for Wednesday. Her total pay for Tuesday
and Wednesday is $144. How much did Amy earn on Wednesday?
2. Kellys monthly salary is 20% more than Lynns monthly salary. Kellys monthly salary is $4,800.
What i
3. LIBRARY BOOKS
Brianna and Devin went to the library and checked out some books. 30% of the books that
Brianna checked out were fiction. 50% of the books that Devin checked out were fiction
books. Brianna and Devins friend Shannon said that Devin checke
Lesson 14: Summative Assessment ANSWER KEY
1. TIMS TIRES
Tim needs to buy 4 new tires for his car.
He found the following three ads in his local newspaper:
Tire Mart
Each tire: $63.55
Buy 3 and get one
free!
Each tire:
$46.25
A. Where would Tim get the be
1. At each middle school, 75% of the students play on a sports team.
How many Woodbury students play on a sports team?
How many Valley students play on a sports team?
A third middle school, Lancaster School, has 300 students on a sport team. This is 75% o
Unit: Ratios, Rates, and Percents
Content Area/Course: Mathematics Grade 8
Lesson 14: Solving Percent Problems: Missing Whole
Time (minutes): 2 50-minute lessons
By the end of this lesson students will know and be able to:
By the end of this lesson studen
With one day left in the fundraiser, the eighth grade had raised $225, the seventh grade had raised
$200, and the sixth grade had raised $150. Which grade was closest to their goal?Grade 7
Suppose each grade was only $25 short of meeting its original goal
How To Create a Graph
How to Create a Graph
To create most mathematical graphs, you use the Graphing tab. The Graphing tab includes an
input pane that you use to enter the function, equation, inequality, data set, or parametric
equation that you want to p
1. Joelle and Kyle started a collection of sports trading cards. The chart below shows how many
cards they have collected.
Complete their charts, showing:
How many cards they have of each kind
The percentages for each type of card
JOELLE
# of Cards
KYLE
%
1. In the Coordinates list, click Cartesian, Polar, Spherical, or Cylindrical.
2. Enter the expression or data you want to plot.
3. Click Graph
Plotting 2D Graphs
Plot a Line
You can plot any line by using Microsoft Mathematics. The simplest way is to put
Lesson 14: Percent Problem Solving Worksheet ANSWER KEY
1.
Sidney spent 30% of her monthly salary on a new laptop last month. Then she spent 50% of
her salary to pay her monthly bills. She put the remaining $1,200 into her savings account.
What was her mo
Use the information in this chart to solve the next three problems:
School
Number of Students
Valley Middle School
450
Woodbury Middle School
600
1. A survey was done at both schools to find out how much television students watch.
The survey found that 30
Steering Team STEM/Computer Science Program
Advisory Meeting Agenda
November 29th , 2016
I.
Open meeting
II.
Review Board Officers
Bill Kucharski Oracle, Matt Gauch SW Engineer.DB Consultant, Dave &Sheila LucasNxGenLearning, Michael Katona, Sue Johnson
Bi
1. Youll see the completed Step-by-step solution for the equation in the Output pane
If a step-by-step solution is available for an expression, you will see the heading
"Solution steps" between the input and output expressions in the output pane
regardles
Math 106 Winter 2016 Assignment 5
Topics: Systems of linear equations, consistent systems, inconsistent systems, linearly independent sets, span of
a set.
1. Write the augmented matrix for the following system of linear equations. Solve this system using
MATH 106 Winter 2016
Assignment 4
Topics: systems of linear equations.
1. Consider the following system of linear equations:
x + 2z + v = 1
y z + 2v = 2
u + 5v = 3
a) Write out the augmented matrix for the system.
b) State whether the coefficient matrix o
MATH 106 Assignment 3 - Winter 2016
Topics: dot product, norm of a vector, angle between vectors, distance, CauchySchwarz inequality, orthogonal and orthonormal, cross product, equations of planes
and hyperplanes, subspaces, linear independence.
1. We are
Math 106 - Assignment 2 - Winter 2016.
Topics: Planes, projections
1. If (1, 4, 7) is a normal vector to a plane containing the point (3, 3, 1) what is the
scalar equation of this plane?
2. A hyperplane is the set of all vectors x in R4 which satisfy the
Math 106 - Assignment 1 - Winter 2016.
Topics:
Vectors in R2 and R3 ,
Length (norm) of a vector.
vector equations,
parametric equations and scalar equations for lines,
dot product
angles between vectors,
Note: Vectors are sometimes represented horiz
CEPA Task 3: Proposal to the Cafeteria Manager: Directions for Teachers
Materials Required
Directions for students
Computers with word processing software
CEPA Task 3: Student Directions:
Write a proposal to convince the cafeteria manager to add your pizz
CEPA Task I: Cost to Make One Pizza: Directions for Teachers
Materials Required
Calculators or computers with spreadsheet software
Directions for students
Price of selected ingredients
Description
Students create a recipe for pizza and use a price sheet t
Lesson 14: Solving Percent Problems: Missing Whole
Brief Overview of Lesson:
Students extend percent problem-solving so that given the part and the percent, they can solve for the whole. They
complete a summative assessment on percents. As you plan, consi
Model the problem with a tape diagram.
Solve the problem with equivalent ratios.
Discuss: does this answer make sense? Can anyone suggest another strategy to solve this problem?
1. Assign the following problem:
60% of the people at the movie theater were
G.D.GOENKA PUBLIC SCHOOL ,ROHINI
Class 3
Subject : Computer Science
Microsoft Word Handout
Name:_ Sec_ Roll no._ Date:_
Office
button
Title bar
Quick Access Toolbar
Cursor
Scroll Bar
Working area
Microsoft word 2007 Screen shot
Important Points to remembe
Scor
e
4
3
2
1
Written Explanation (CEPA Task 3)
Proposal demonstrates strong ability to use precise mathematical language
to write explanations that are focused, precise, and clear. Tables are detailed,
well-organized, and informative. All mathematical c
1. Click Graph.
To plot multiple equations or functions follow the same steps as above, but add
another equation to the second box. If you want to add a third equation or function,
click Add, and then enter the equation or function in the new box that app
Lesson 14: Summative Assessment
Name: _ Date: _ Class:_
1. TIMS TIRES
Tim needs to buy 4 new tires for his car.
He found the following three ads in his local newspaper:
Steve's Tires
Each tire: $63.55
Buy 3 and get one
free!
Tire Mart
Each tire:
$46.25
Co
Anticipated Student Preconceptions/Misconceptions:
Students may know that 100% represents the whole, but many students may still
experience difficulties understanding that this whole can be any number (100, greater than
100, or less than 100).
When settin
A. Mrs. Brown went to a different store. The same model of computer is usually priced at $1,000 but it is on sale for 25% off. How many dollars
would she save? Ask students: Which strategy is best, a tape diagram or a 10 x 10 grid?
25
=
100 1000
This can