Math 3 201: Circle Equations
Name: _
Unit 2 covers an algebraic look at a topic called conic sections. These are the shapes that you can
make by intersecting a cone with a plane. The picture below shows the four shapes we are going to
be discussing in thi
Math 3 – 111: Homework
p. 15, #1 – 21 (3n), 22 – 24
Solve the system using matrices.
Source: McDougal Littell Georgia High School Mathematics 3
Name: _
Math 3 110: Two-variable System of Equations
Name: _
The rest of the week we will be practicing solving systems of equations with two variables. I will guide
you through the first one, and then you can try some on your own.
The admission fee at the county
Math 3 – 109: Matrix Inverse HW
Name: _
p. 51, #1 – 6; p. 52, #1 – 6
Invert any 2x2 matrices by hand. No calculator allowed.
Calculate the determinant of 3x3 matrices. You may use your calculator for these.
Source: McDougal Littell Georgia High School Mat
Math 3 108: Matrix Inversion
Name: _
Warmup
Over the course of a year, a state trooper issued a total of 385 citations for warnings and speeding
tickets. Of these, there were 31 more warnings than speeding tickets. How many warnings and how
many speeding
Math 3 107: Matrix Multiplication
Name: _
Yesterday, we investigated the multiplication of a matrix with a real number (or scalar). But
what happens when we multiply two matrices?
To begin, we must understand an algebraic operation used in mathematics cal
Math 3 104: Scalar Matrix Multiplication
Name: _
Work individually on the following problem (#1 6), and then compare your answers with your
neighborhood.
Your flower garden is now entering its third year of existence, and thanks to your improved gardening
Math 3 103: Matrix Addition
Name: _
Work individually on the following problem (#1 6), then compare your answers with your neighborhood.
Last year, you planted a flower garden in your front yard consisting of 5 rose bushes, 36 sunflowers, and
20 petunias.
Math 3 101: Introduction to Matrices
Name: _
Unit 1 is devoted to studying the use of matrices (the plural form of the word matrix). To begin, we
must understand that a matrix is a special type of array. Arrays are very important in todays world
because t
Math 3 112: Three-variable System of Equations
Name: _
Now, we will be moving on to larger systems of equations, and learning how to solve these systems
using our calculators. Remember, as long as we start with the matrix equation CV = R, we showed that
V
Math 3 115: Weekend Work 1
Name: _
Solve the following systems of equations.
1.
4x + 3 y = 2
x + 2 y = 5
2.
5 x 2 y = 7
2x + y = 1
Use a graphing calculator to solve the following systems.
3x + 2 y + z = 4
3. 4 x 3 y + 2 z = 11
x 5 y 4z = 7
2 x 3 y +
Matrix Operations $100
Matrix Operations $500
If
and
,
calculate A(B + C).
B.
C.
D.
A.
B.
C.
A.
D.
Matrix Operations $200
System of Equations $200
Which of the following shows the correct
solution to the linear system
?
B.
C.
D.
Matrix Operations $300
To
Math 3 122: Okefenokee Swamp
Name: _
AN OKEFENOKEE FOOD WEB Learning Task:
Recent weather conditions have caused a dramatic increase in the insect population of the
Okefenokee Swamp area. The insects are annoying to people and animals and health officials
Math 3 121: Vertex-Edge Graphs
Name: _
MM3A7. Students will understand and apply matrix representations of vertex-edge graphs.
A vertex-edge graph is a collection of points (vertices) and line segments (edges) arranged to
portray how information is connec
Math 3 119: Linear Programming
Name: _
MM3A6. Students will solve linear programming problems in two variables.
Now that we understand the concepts of graphing inequalities, we can move forward to linear
programming. Linear programming is the process of m
Math 3 118: Solving Systems of Inequalities HW
Source: Kuta Software
Name: _
1
Math 3 118: Solving Systems of Inequalities HW
Source: Kuta Software
Name: _
2
Math 3 117: Graphing Systems of Inequalities
Name: _
Yesterday, we learned how to graph linear inequalities. The general information we learned (whether
the boundary is dashed or solid, and whether to shade above or below the boundary) applies regardless
Math 3 116: Graphing Linear Inequalities
Name: _
Weve been working a lot with systems of linear equations. Our solutions to these systems
represented the only pair of values that satisfied both of the equations in the system. For
example, remember our ini
Math 3 221: Conic Sections Review
Name: _
(1) What is the equation of a circle with center at the origin and radius of 3?
(2) 3 x 2 + 4 y 2 + 6 = 0 is the equation of an _.
(3) What is the length of the minor axis of the ellipse represented by the equatio
Math 3 – 204: Circle Equation given Center and Point
Name: _
Quick lesson to start today… probably should have been incorporated into last week, but oh well.
How do you determine the equation of a circle if you know the center and a point on the
circle?
L
Math 3 203: Escape!
Name: _
Tonight, with the stress of Engsbergs quiz hanging over you, sleep comes slower than usual.
Eventually, after much tossing and turning, you fall into a fitful rest. When you awake, you are
startled to find yourself curled up on
Math 3 202: Completing the Square
Name: _
Perfect square an integer that is the product of a different integer with itself. Example: 64 is a perfect
square because it is equal to 8 times 8.
We will need to understand the definition of a perfect square bec
Math 3 308: Solving Exponential Equations Part 1
Name: _
One area we have not covered yet in our review of exponential functions is solving exponential
equations. Understanding how to solve exponential equations can help you later in life if you plan to
d
Math 3 303: Rational Exponents
Name: _
All of the properties that we learned on 301 apply to every exponential expression, but so far we
have only simplified expressions with integer exponents. It is possible to have rational exponents
(fractions), and yo
Math 3 301: Review of Exponential Properties
Name: _
Weve spent the last month discussing polynomial functions, in which the variable was raised to an
exponent. In the next unit, we will start by reviewing exponential functions, where the variable is
the