Algebra I Chapter 5 Study Guide Writing Linear Equations

Name ________________
Due: Tuesday, January 17 (Exam week)

100 points

Writing Linear Equations in a Variety of Forms
Using given information about a __________, you can write an ________________of the line in _____________ different forms. Complete the chart:

Form (Name)

Equation
• •

Important information
The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line passes through ( ______, ______ ) A, B, and C are __________ numbers. A and B are not both ___________.

Slope – Intercept

Point – Slope

• •

Standard

• •

Try a few (Page 345 – 347) Write an equation in Slope – Intercept Form:

Algebra I

Study Guide Chapter 5

lopeWrite an equation in Slope-Intercept Form that passes through the given point and has the given slope m. 8. (23, 21); m = 4 y= m= x= b= 9) (– 2, 1), m = 1 y= m= x= b= 10) (8, –4) m = – 3 y= m= x= b=

Write an equation in Point-Slope Form that passes through the given points. oint11) (4, 7) (5, 1) 12) (9, 22) (23, 2) 13) (8, 28) (23, 22)

(Hint: you need slope)

(Hint: you need slope)

(Hint: you need slope)

-2-

Algebra I

Study Guide Chapter 5

Write an equation in Standard Form of the line that has the given characteristics.

Hint for #15 & #16 You’ll need to write one form of the equation and transform it … think of our charts … and, see the example above the problem in the book … page 347 15) Slope: 24; passes through (22, 7)

16) Passes through (21, 25) and (3, 7)

Keep going!
-3-

Algebra I

Study Guide Chapter 5

Problems Using Linear Models (Equations) to Solve Problems
You can write a linear equation that ______________ a situation involving a _____________rate of change (_____________). Analyzing given information helps you choose a _______________ model.

If this is what you know …
Constant rate of change (____) and Initial value (_____)...

...my linearequation. There were many different examples presented by all of the students. My post was regarding the cost of taking a taxi to downtown Albany from my home. The final equation in my post was Y=4+12(2). Y was equal to 1 so that is what made it linear. The final answer is 28$. Many of the other posts by students were very informative and broke down the entire equation step by step. To be honest this helped a lot...

...2014/9/16
LinearEquations
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LinearEquations
A linearequation is an equation for a straight line
These are all linearequations:
y = 2x+1
5x = 6+3y
y/2 = 3 x
Let us look more closely at one example:
Example: y = 2x+1 is a linearequation:
The graph of y = 2x+1 is a straight line
...

...completion of the project.
Study Table for Weeks One and Two
Chapter 4 Systems of LinearEquations; Matrices (Section 4-1 to 4-6) | Examples | Reference (Where is it in the text?) |
| | |
DEFINITION: Systems of Two LinearEquations in Two VariablesGiven the linear system ax + by = hcx + dy = kwhere a , b , c , d , h , and k are real constants, a pair of numbers x = x0 and y = y0 [also...

...MODULE - 1
LinearEquations
Algebra
5
Notes
LINEAREQUATIONS
You have learnt about basic concept of a variable and a constant. You have also learnt
about algebraic exprssions, polynomials and their zeroes. We come across many situations
such as six added to twice a number is 20. To find the number, we have to assume the
number as x and formulate a relationship through which we can find the number. We shall
see that...

...Systems of linearequations, or a set of equations with two or more variables, are an essential part of finding solutions with only limited information, which happens to be exactly what algebra is. As a required part of any algebra student's life, it is best to understand how they work, not only so an acceptable grade is received, but also so one day the systems can be used to actually find desired information with ease.
There are three main methods...

...Jasmine Chai
Grade 10
196298501
Patterns within systems of linearequations
Systems of linearequations are a collection of linearequations that are related by having one solution, no solution or many solutions. A solution is the point of intersection between the two or more lines that are described by the linearequation. Consider the following equations: x +...

...Course Notes Linear Math & Matrices
PSB – Dr. H. Schellinx
Linearequations
As
we
have
seen,
a
linearequation
with
n
different
variables,
say
x1, x2 , x3,..., xn ,
can
always
be
written
in
the
equivalent
standard
form
a1 x1 + a2 x2 + a3 x3 +... + an xn = c ,
where
c
is
a
constant,
the
xi
are
the...

...All Four, One - Linear Functions
In the last activity, we talked about how situations, rules, x-y tables, and graphs all relate to each other and connect. Now, we’ll look at how situations, rules, x-y tables, and graphs relate and connect to linear functions.
A linear function is a function that, if the points from the function were to be put on a graph and connected, it would form a straight line. They are used to show a constant rate of change...

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