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 equations 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. ORIGINAL ANSWER PLEASE DONT COPY AND PASTE ​

One-Step Equations:

Number one: x + 6 = 8

Solve: To begin, you must subtract 6 on both sides to get x by itself.

x = 8 When you subtract 6 on both sides, you get x = 8 which is your answer. This is a one-step equation, meaning it only took us a single step in order to solve this equation.

Number two: x - 5 = 15

Solve: To solve this one-step equation, first, start off by adding 5 on both sides. Since it's only one step, your answer will be x = 20. All we had to do was add 5 to isolate the variable.

Two equations that contain fractions:

Number one: x - 1/2 = 2/4

Solve: x - 1/2 = 2/4

To begin, we have to add 1/2 to get x by itself. Since 2/4 and 1/2 don't have common denominators, all we have to do is multiply 1/2 by 2/2 to get a common denominator of 4. 1/2 x 2/2 is equal to 2/4. 2/4 + 2/4 is 4/4 which is equal to 1. Your answer is x = 1.

Number two: x + 3/4 = 2/4

Solve: To begin, we have to subtract 3/4 on both sides. Since 2/4 and 3/4 have a common denominator of 4, we can go ahead and subtract right away. 2/4 - 3/4 is equal to -1/4. x = -1/4.

One equation using distributive property:

Number one: 3(x + 2) = 18

Solve: To begin, we have to distribute the 3 to x and 2 (multiply). We get 3x + 6 = 18. To get x by itself, we have to first subtract 6 on both sides. We then get 3x = 12. Now, divide by 3 on both sides so that x is completely isolated, and we get x = 4.

One equation with decimals:

Number one: x + 0.25 = 0.75

Solve: To begin, we have to subtract 0.25 on both sides. When we do this, 0.75 - 0.25, we get x = .50 We can also write this as a fraction .50 is the same thing as 1/2. x = 1/2 or .50

One real-world problem:

Number one: Maria went to the store and she had 20 dollars to spend. She got a notebook for 5 dollars, and she wanted to buy pens with the rest. Each ben cost 5 dollars, how many pens can she buy in total?

Solve: We know that Maria had a total of 20 dollars in total and she already spent 5 dollars. We also know that each pen cost 5 dollars. When knowing this we can write this equation: 5x + 5 = 20. Since we don't know how many pens she's going to buy, we can just write a variable, in this case, x. Now we solve. Just like always, we need to isolate the variable. To do this, we have to first subtract 5. We then get, 5x = 15. Now, divide by 5 on both sides and we get x = 3. That means that Maria can buy a total of 3 pens.

basicly everything that the other person said but the first answer is wrong, if you subtract 6 from both sides then the answer would be 2

Step-by-step explanation:

i edited it and also made it look a little more child like lol:

One-Step Equations:

Number one: x + 6 = 8

Solve: subtract 6 on both sides to get x by itself.

x = 2  

Number two: x - 5 = 15

Solve: add 5 on both sides.  

x = 20

Two equations that contain fractions:

Number one: x - 1/2 = 2/4

Solve: find a common denominator by multiplying 1/2 by 2 for both sides

x = 1.

Number two: x + 3/4 = 2/4

Solve: subtract 3/4 on both sides.

One equation using distributive property: 3(x + 2) = 18

Solve: distribute the 3 to x and 2. 3x + 6 = 18. subtract 6 on both sides. We then get 3x = 12. divide by 3 on both sides,

x = 4

One equation with decimals:

Number one: x + 0.25 = 0.75

Solve: subtract 0.25 on both sides.

X = 0.5

One real-world problem: Maria went to the store and she had 20 dollars to spend. She got a notebook for 5 dollars, and she wanted to buy pens with the rest. Each pen cost 5 dollars, how many pens can she buy in total?

Solve: 5x + 5 = 20. subtract 5 on both sides. divide by 5 on both sides and we get x = 3. That means that Maria can buy a total of 3 pens.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

hreryryrranswer:

step-by-step explanation: