100 POINTS Instructions

For this option, you will work individually. You’ve worked hard in this module to become a pro at equations!
Now, you’ll put your skills to the test. Your job is to create an equations portfolio. The format is up to you.

As long as all of the parts of the project are addressed, the delivery is up to you. Your portfolio must include a minimum of the following five types of equations and solutions:

Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals

One real-world problem that is solved by an equation Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend! This is a total of 7 equations and solutions.

ONE STEP EQUATIONS

A one setup equation is x-4=8

To get x we use the Additive Property of Equality by means of including the equal quantity to each facets of the equation to cancel out figures and leave x. To cancel out four within the equation, we add 4 on both facets.

X-4+four=8+4

-four+4=zero and 8+4=12

So x+0=12

x=12

Lets do every other one, x-7229=1082

We use the Additive Property of Equality

x-7229+7229=1082+7229

-7229+7229=zero and 1082+7229=8311

So x +0 = 8311

x=8311

EQUATIONS WITH FRACTIONS.

To do equations with fractions you need to locate the lowest not unusual denominator, dispose of fractions via multiplying both facets with the LCD and solving for the unknown.

An equation is 4x/2=8 (we can also write it as 4x/2=8/1.)

Find the LCD that is 2 and multiply each sides through 2 and cancel out the LHS (left hand side) denominator.

4x/2*2=8/1*2

= 4x=16/1 (it can now be written as 4x=16)

Dive by way of 4 to each facets to get x via itself

4x/four=16/four  

x=four

Lets do some other one.

18x/2=72 or 18x/2=72/1

We discover the LCD Which is two and multiply each aspects by 2 and cancel out the LHS denominator.

18x/2*2=72/*2

= 18x=144

Divide both aspects with the aid of 18 to get x by way of itself

18x/18=144/18

x=8

DISTRIBUTIVE PROPERTY.  

Multiply the value this is outdoor the parenthesis with every number within the parenthesis. For example 3(x+2)=12

Distribute three to x and 2

3x+6=12

Minus 6 from each aspects

3x+6-6=12-6

3x=6

Divide both sides by 3 to get x via itself

3x/three=6/3

x=2  

EQUATIONS WITH DECIMALS.

When solving with decimals it’s much less complicated to convert them to complete numbers

For example: 0.02+zero.23= 0.95

(100)0.02x+(100)0.23=(100)0.95

=2x+23=95. It’s much less difficult to resolve now

2x+23-23=95-23

2x=72

2x/2=72/2

x=36

REAL WORLD EXAMPLE.

Say the get dressed that you need is on sale in a store. It costs 1/2 the original price. The shoe now expenses $100. What was the unique price?

We first make a equation to clear up:

x/2=100

No that we have made our equation we are able to resolve.

X/2*2=100*2

x=200 dollars changed into the original price.

please mark me brainliest!

answer: hey there,

the answer you are looking for is a..

hope this you!

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places