# Algebra Module 56 Provide a response to each section with a minimum of 250 words

Algebra Module 56
Provide a response to each section with a minimum of 250 words per
section, and cite at least one source per section.
Section M41: 250+ words & 1+ Source
Provide three real-life
scenarios, one for each: equalities, inequalities, and graphs. What are the
benefits of using equalities, inequalities, and graphs? Provide examples of
each and explain the importance and efficiency of using equalities,
inequalities, and graphing in your daily lives?
Section M4A: 500+ words ESSAY & 3+ Source
Define the following terms and give examples:
origin
function
Identify
the equality and inequality symbols, and provide what their meanings are?
Use
the distributive property to write each expression:
5(x
+ 4m + 2) b. -4(4 + 2p + 5)
+16 c. -⅕
(10a – 25b)
Solve
2x – 3 > 4(x – 1) and graph the solution set.
What
is a linear equation? Graph the linear equation y = 4x choosing 3
variable (-1, 0, 2).
What
are intercepts? Identify the (x, y) intercepts for problem #5.
What
is the slope of a line? and the formula of a slope? Find the slope of a
line (-3, -1) and (3, 1).
Write
an equation of the line that wraith each given slope, m, and y-intercept,
(0,b):
m
= 5, b = 3 b. m = -3, b =
-3
Find
f(-2), f(0), f(3) for each function:
f(x)
= x
f(x)
= 2x – 5
Section M51: 250+ words & 1+ Source
View the video on Solving System of Equations found in the Additional Resources for this
module. Follow the steps shown in how the system of equations is used in
calculations of real-world scenarios. Make two separate equations: equality and
inequality. Using the addition method for equality and inequality, use the
graphing method. Discuss the two solutions; how are they similar and different?
M5A: 500+ word ESSAY & 3+ In Text
Citations
1. Define the following terms and give examples:
a. solutions
b. system of linear equations
2.
Determine whether
ordered pair is a solution of the system of linear equations:
i.
x + y = 8
ii.
3x + 2y = 21
b.
(2,
4) b. (5, 3)
3.
Solve system of linear
equations by graphing:
i.
x + y = 4
ii.
x – y = 2
4.
Solve system of linear
equations by the substitution method:
i.
y = 3x + 1
ii.
4y – 8x = 12
5.
How do you solve a
system of two linear equations when using the addition method?
6.
Solve this system of
i.
4x + y = 13
ii.
2x – y = 5
7.
Write a system of three
linear equations in three variables that has (2, 1, 5) as a solution. Explain
the process you used to write your system.
8.
List the steps for
Problem-Solving.
9.
The measure of the
largest scale of a triangle is 40o more than the measure of the
smallest angle, and the measure of the remaining angle is 20o more
than the measure of the smallest angle. Find the measure of each angle.