Explain how to solve algebraic equations and inequalities by Angela Boundy

1. Give a step by step summary using bullet points to explain the process of solving algebraic equations.

aboundy2 — 2024-03-14 11:26:56 UTC

2. Imagine you are a math tutor: Provide a step by step summary, written in paragraph form, explaining how to solve algebraic inequalities.

aboundy2 — 2024-03-14 11:28:25 UTC

Response One

2024-03-14 11:45:14 UTC

William A. Shen:

*First, you identify the terms in an algebraic equation or inequality

*Next, you need to make the variable alone. For instance, the equation 5x = 55 to x = 11. To do this, you take away the numbers that are on the same side as 'x'. For instance, in the equation 5x = 55, you get red of that 5 that's multiplying by 'x' by dividing it by 5. You will do the same thing to the other side of the equation. There, you'll have the answer 'x = 11'

Isaac Mathai Question 1

2024-03-14 11:46:44 UTC

First, you have to isolate the variable by solving the opposite operation for both sides.
When the variable is isolated, you then solve another opposite operation to make sure that the variable is associated with itself and the other number.

Isaac Mathai

2024-03-14 11:48:36 UTC

Imagine x + 7 is greater than 13. We are first supposed to subtract 7 from both sides of the equation, so that it will be written as x is greater than 6.

1. Derek

2024-03-14 11:49:19 UTC

We use PEMDAS
Find the terms of the equation.
Lastly we combine like terms.

Chelsea #1

2024-03-14 11:49:28 UTC

-write down the problem

-pemdas

-solve the Parentheses

-solve the exponents and square roots

-multiply

-divide

-add/subtract

-find x by dividing

Algebraic Expressions - Gavin

2024-03-14 11:50:42 UTC

• Identify The Variables

•Follow Parenthses etc... Pemdas.

• Simplify in between the parentheses .

• If There Are Exponents Apply Them.

• Do multiplication and division from left to right.

• Do addition and subtraction, left to right

• Simplify the finishing equation

THIS IS HOW TO SOLVE ALGEBRAIC EXPRESSIONS

Charles Hofstetter - #1

2024-03-14 11:50:45 UTC

When you have a number like 3x=3, you would do the opposite operation (in this case division) to isolate 3 by itself.
Then you would get the answer of x=1.
Apply that strategy to any other algebraic equation you come across.

Dillon whelan

2024-03-14 11:51:43 UTC

question 1= use pemdas
find terms in the equation
then combine the like terms

2024-03-14 11:51:58 UTC

imagine x+9 is greater than 15. We would subtract 9 from both sides so 15 minus 9 equals 6.

2. Derek

2024-03-14 11:52:14 UTC

3x+6=24

First we divide 3 on both sides to isolate "x" Then we subtract 6 on both sides to get rid of 6. Then the equation will look like "x=6" that is your answer.

Step 2: simplify

2024-03-14 11:52:40 UTC

Response 1. Ope

2024-03-14 11:52:45 UTC

Example Equation: 3x+5=11

The steps for solving an algebraic equation is,

First, you would need to isolate the variable By doing the opposite operation on both sides (3x=6)
You would have to do the opposite operation on both sides again to find the value of the variable.
At the End, the variable should have a value (x=2)
Using PEMDAS is crucial and very important into solving the equation.

1. Nicholas Berger

2024-03-14 11:53:57 UTC

Steps

First we use Pemdas
2. Find the terms in the problem you are solving
combine like terms

Xander Moncayo

alexanderm460 — 2024-03-14 11:54:31 UTC

Remove the parenthesis and use the distributive property if you have to
Simplify both sides of the equation by combining like terms
If there are any fractions, multiply both sides of the equation by the LCD of all the fractions.
If there are numbers with decimals, multiply both sides of the equation by the lowest power of ten to convert them into whole numbers.
Bring the variable terms to one side of the equation and the constant terms to the other side utilizing the addition and subtraction properties of equality.
Make the coefficient of the variable as 1, using the multiplication or division properties of equality.
Isolate the variable to find the solution

Algebraic Inequalities - Gavin

2024-03-14 11:54:44 UTC

Make the variable alone
Simplify
apply inverse operations
Decide to flip the inequality sign

Muhammad Vangahun

2024-03-14 11:55:44 UTC

The ways we can is..

-We use PEMDAS for the equation

-Then We can find the Terms in the Equation

-Then Lasty we combine like terms to solve the equation

Marcus - #1

2024-03-14 11:55:58 UTC

Use PEMDAS
Simplify the terms
Combine all the like terms

Chelsea #2

2024-03-14 11:58:19 UTC

Ok so imagine x+7 is greater than 13 we are first going to subtract 7 from high sides of the equation, so it will be written as x is greater than 6.

3. Sofia

2024-03-14 11:59:31 UTC

When you solve an algebraic equation, you first use PEMDAS, then u solve whats inside the parentheses if there is any. after you combine like terms to solve what x equals.

Muhammad Vangahun Question:2

2024-03-14 12:00:14 UTC

When you have a number like 4x=4, you would do the opposite operation (in this case division) to isolate 4 by itself
Then you would get the answer of x=1
Apply that strategy to any other algebraic equation you can come across

Response 2. Ope

2024-03-14 12:02:07 UTC

Example Inequality, 2x-4 > 8.

To solve an algebraic inequality, first you would need to isolate the variable by doing opposite operations on both sides. (2x>12) Next you would need to do the opposite operation again for both sides again to isolate the variable with the inequality. (x>6.) Lastly, you would need to graph the inequality on a number.

Charles Hofstetter - #2

2024-03-14 12:04:00 UTC

In order to solve algebraic inequalities such as "x + 3 ≥ 13", you would need to isolate 'x' like before. In this case, you would do that by subtracting 3 on both sides in order to get the new inequality of "x ≥ 10". Now, this could apply for any inequality such as, "x - 9 > 18 and x > 9," or "x - 8 ≥ y - 8 and x ≥ y." This strategy can apply for all simple algebraic inequalities.

2. Nicholas Berger

2024-03-14 12:04:09 UTC

2x = 2 First you would do is isolate the variable so you would do the opposite operation to isolate 2 by itself. After you isolate the variable you would get x=1. Then you get your answer.

Gabby

2024-03-14 12:04:43 UTC

First, you have to isolate the variable. You do this by solving the opposite operation.
You solve another opposite operation to make sure that when the variable is isolated to make sure the variable is associated with the other number and itself.

Haley Splan 1

2024-03-14 12:05:31 UTC

- remove all the numbers other than the x and the answer.

-do this by doing opposite operation on both sides until the variable is isolated.

Xander Moncayo (cont’d)

alexanderm460 — 2024-03-14 12:08:14 UTC

Just as you would solve an equation, to solve an inequality, you must use inverse operations to isolate the variable. I will use an example: 2x + 5 >/= 9. Subtract 5 from 9 (4), then divide 4/2 (2). So now we know X >/= 2

Marcus - #2

2024-03-14 12:08:50 UTC

First, we find terms in the algebraic inequalities. For example, 5x=5 you would have to do division which is the opposite operation. Next, after you simplify this you would get the right answer. Lastly, this is how to solve algebraic inequalities.

Haley Splan 2

2024-03-14 12:12:15 UTC

If the equation is 7 - x < 24 first you would add 7 to 7 and 24 to get x > 31.

Response Two

2024-03-14 12:19:29 UTC

William A. Shen:

When we are doing an algebraic equation like 6x = 90, we'll want to identify the terms which in this case is 6x on the left and 90 on the right. To find the solution to 'x', we need to make 'x' alone. To do that we do the inverse operation of 6x which will be 6x / 6 = x. Then, we do the same thing to the other side which is 90/6 = 15. So x = 15.

Kevin

2024-03-14 12:24:34 UTC

• Isolate the variable

• Do the opposite operation on both sides

• Do it again to find the answer of the variable

Morgan - #1

2024-03-14 15:42:48 UTC

write the problem
use pemdas
find the terms of the equation
simplify
lastly combine like terms

Morgan- #2

2024-03-14 15:47:32 UTC

Ok, lets think like this. Imagine x+8 is greater than 15. the first thing you want to do is subtract 8 from both sides. you will cross out the 8 and do 15-8 which gives you 7. then it would be x is greater than 7. another thing you can do is 3x=3. in this case, you will divide 3 on each side. you will cross out the 3x but you will leave the x and only cross out the 3. then you will do 3 divided by 3 which gives you 1 so that means x=1. You can always reuse that strategy with any other algebra 1 questions or problems you might be using for homework or schoolwork. This is a guide in general

Tolani Lolu

2024-03-14 17:28:22 UTC

•use PEMDAS

• combine like terms

•divide to find x