Name:________________________1 HW 2
Daniel Dimov
Objective: I can use variables to mathematically model a given situation.
1-4: Write an algebraic expression for each description.
1. The sum of a number and 4.
n+4
2. A number is doubled.
2n
3. Three less than a number.
3-n
4. The difference of three times a number and 2.
3 * 2n
5. Draw an area that shows represents this expression: 3(𝑥 + 4).
x=4
6. Write a different expression that gives the same area as #5.
3(2x+8)
7. Draw an area that represents this expression: 3𝑥 + 4
8. The following table contains the steps for a new magic number puzzle. For each column, follow the steps to
determine the ending number for the given starting number.
Directions
Start with a
positive
number
Start with a
negative
number
4
–2
Step 1. Write down a number.
Step 2. Multiply by 3.
12
-6
27
9
Start with the
2
fraction
3
Pick any number,
n.
2
3
n
2
3
9
Step 3. Add 15
Step 4. Divide by 3
9
Step 5. Subtract your original
number.
5
3
-5
17
5.6666666667
24
8
-5
5
9. What number does each column end up being? So explain why this “magical” puzzle is not actually magical
at all?
It ends up being 5 because its not magic its math