Operations
List all operations in the correct order they are used. Put a box around 1 set of inverse operations, and a circle around the 2nd set of inverse operations.
Parentheses: ()
Exponents: ax
☐ Multiplication: x,•,2x
☐ Division: ÷
○ Addition: +
○ Subtraction: -
2/10 + 4/10
2/10 + 4/10
= 6/10 ÷ 2/2 (SIMPLIFY)
=3/5
x - 6 = 13
(NO CALCULATOR)
x - 6 = 13
+6 +6
x = 19
7 + (-3)
7 + (-3)
= 7 - 3
= 4
When Mr. O was a student, his best subject was ____, and his worst subject was ____.
Best subject: English
Worst subject: Math
8 + 2 • 7 - 2
8 + 2 • 7 - 2
= 8 + 14 - 2
= 22 - 2
= 20
6/8 - 4/8
6/8 - 4/8
= 2/8 (SIMPLIFY)
= 1/4
What does it mean to solve for a variable? Explain. What do we know our answer will look like? For example, if we were solving for x...
Bonus 50 points: how can you prove that your work is correct after solving?
Meaning for "Solve a variable": Find a true value for a variable. If we solved for x, our answer would be x = # .
Bonus: to prove, substitute (plug in) the value for x, then simplify. If you get the same thing on both sides, it's correct!
-12 + 5
-12 + 5
= 5 - 12
= -7
Name at least one of the two instruments can Mr. O play.
Bonus 50 points if you know both.
The piano and ukulele.
6 ÷ 2 + 5 • 2
6 ÷ 2 + 5 • 2
= 3 + 5 • 2
= 3 + 10
= 13
3/4 - 3/12
3/4 - 3/12
= 3/3 • 3/4 - 3/12 (COMMON DENOMINATORS)
= 9/12 - 3/12
= 6/12 ÷ 6/6 (SIMPLIFY)
= 1/2
Solve, then prove your answer is correct.
3x + 4 = 9
3x + 4 = 16
- 4 - 4
3 ÷ 3x = 12 ÷ 3
x = 4
3(4) + 4 = 16 (SUBSTITUTE)
12 + 4 = 16
16 = 16 ✓
-4 - 6 - 3
-4 - 6 - 3
= -10 - 3
= -13
What is Mr. O's middle initial?
Bonus 50 points if you can get the name correct in 3 guesses.
Middle initial: J
Middle name: Joseph
9 ÷ 3 + 8 ÷ 22 • 2
9 ÷ 3 + 8 ÷ 22 • 2
9 ÷ 3 + 8 ÷ 4 • 2
3 + 8 ÷ 4 • 2
3 + 2 • 2
3 + 4 = 7
3/6 + 1/4
3/6 + 1/4
= 2/2 • 3/6 + 1/4 • 3/3
(MAKE COMMON DENOMINATORS)
= 6/12 + 3/12
= 9/12 ÷ 3/3 (SIMPLIFY) = 3/4
Solve and prove your answer:
x/2 + 3 = 5
x/2 + 3 = 5
-3 -3
2 • x/2 = 2 • 2
x = 4
4/2 + 3 = 5 (SUBSTITUTE)
2 + 3 = 5
5 = 5 ✓
-17 - (-6) + 1
-17 - (-6) + 1
= -17 + 6 + 1
= -11 + 1
= -10
How many AP tests did Mr. O pass in high school?
Bonus 50 points if you can name half of the subjects or more (1 guess).
Mr. O. passed 5 AP tests. These tests saved him about $20,000 on college.
AP Calc (math)
AP Lit, AP Comp (English)
AP US History
AP Government
8 ÷ 2 - 3 • 3 + 4 ÷ (2 + 2)
8 ÷ 2 - 3 • 3 + 4 ÷ (2 + 2)
8 ÷ 2 - 3 • 3 + 4 ÷ 4
4 - 3 • 3 + 4 ÷ 4
4 - 9 + 4 ÷ 4
4 - 9 + 1
-5 + 1
-4
2/3 ÷ 8/9
K C F = Keep, Change, Flip
2/3 ÷ 8/9
= 2/3 • 9/8
=18/24 ÷ 6/6 (SIMPLIFY)
= 3/4
Solve:
2(x - 1) + x = 7
2(x - 1) + x = 7 (DISTRIBUTE)
2x - 2 + x = 7 (SIMPLIFY LIKE TERMS)
3x - 2 = 7
+2 +2
3 ÷ 3x = 9 ÷ 3
x = 3
-4 - (-7) - 3 - (-7) - 2 - 5
-4 - (-7) - 3 - (-8) - 2 - 6
= -4 + 7 - 3 + 8 - 2 - 6
= 3 - 3 + 8 - 2 - 6
= 0 + 8 - 2 - 6
= 8 - 2 - 5 = 6 - 6 = 0
Name at least 1 of the 3 sports that Mr. O played in high school.
Bonus 50 points if you can name all 3.
Soccer, wrestling, chess.