Algebra I chapter 2 part 1

Writing equations

100

Write "the sum of a number and 3 is 17" as an algebraic equation.

n + 3 = 17

200

Write "15x - 9" as a verbal sentence.

Fifteen times x, minus 9. (Or some others)

300

Fifteen more than v times six is y times two minus eleven. Write as an algebraic equation.

6v + 15 = 2y - 11

400

Write "x² + 4 = 0" as a verbal sentence.

The sum of an unknown number squared and 4 is equal to 0.

500

Write (x+1)² / x = 0 as a verbal sentence.

The square of the sum of x and 1, divided by x, equals 0. (Or others)

Solving equations

100

x + 18 = -35. Show all steps.

x + 18 - 18 = -35 - 18

x = -35 - 18

x = -53

200

-15x = 120. Show all steps.

-15x / -15 = 120 / -15

x = 120 / -15

x = -8

300

100 - x = 87. Show all steps.

100 - x - 100 = 87 - 100

-x = -13

x = 13

400

t / 5 + 4 = 22. Show all steps.

t / 5 + 4 - 4 = 22 - 4

t / 5 = 18

t / 5 * 5 = 18 * 5

t = 90

500

15 (3x + 1) = 315. Show all steps.

45x + 15 = 315 (distributive property)

45x + 15 - 15 = 315 - 15

45x = 300

45x/45 = 300/45

x = 300/45 = 20/3 (or 6.666...)

Variable on each side

100

2(x+4) = 2x + 8. Show all steps.

2x + 8 = 2x + 8 (distributive property)

Infinite solutions! (Or "Identity")

200

2 (4a + 8) = 3 (8a/3 - 10). Show all steps.

8a + 16 = 8a - 30 (distributive property)

8a + 16 - 8a = 8a - 30 - 8a

16 = -30 (false statement)

Therefore, there are no solutions!

300

n + 14 = 3n - 12. Show all steps.

n + 14 + 12 = 3n - 12 + 12
n + 26 = 3n
n + 26 - n = 3n - n
26 = 2n
26/2 = 2n/2
13 = n

400

16 - 2n = 15 - 3n. Show all steps.

16 - 2n = 15 - 3n
16 - 2n + 3n = 15 - 3n + 3n
16 + n = 15
16 + n - 16 = 15 - 16
n = -1

500

15 - n = n/3 + 7. Show all steps.

15 - n - 7 = n/3 + 7 - 7
8 - n = n/3
8 - n + n = n/3 + n
8 = (4/3) n
8 * 3/4 = (4/3) n * 3/42
24/4 = n
6 = n

Absolute value

100

Solve |-4| = x.

x = 4

200

|x| = 9. Solve for x.

x = 9 and x = -9

300

|2x² - 256x + 8159| = -1. Solve for x.

No answers - negative absolute value

400

|4x - 9| = 16. Solve for x.

4x-9 = 16
4x = 25
x = 25/4 (or 6.25)

AND

4x-9 = -16
4x = -7
x = -7/4 (or -1.75)

500

|3x/4| = 6. Solve for x.

3x/4 = 6
3x = 24
x = 8

AND

3x/4 = -6
3x = -24
x = -8

Bad Korean jokes

100

What can you do if someone sues you for selling them a bad watermelon?

You can "수-박."

200

How do you greet your friend Ann at the beach?

"해-안!"

300

How do you greet your school chef, Lisa?

"요-리사!"

400

What is the most popular puzzle in Seoul?

"수도-쿠!"

500

What did the girlfriend do when the boyfriend gave her a bad haircut?

그녀는 그와 "헤어-졌어."