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

Answer the following questions:

Define the following terms and give examples:

origin

quadrant

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

Answer the following questions:

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

equations by the addition method:

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.