Foundation Review

Operations

Fractions

Equations

Negatives

O Facts

100

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: a^x

☐ Multiplication: x,•,2x

☐ Division: ÷

○ Addition: +

○ Subtraction: -

100

2/10 + 4/10

= 6/10 ÷ 2/2 (SIMPLIFY)

=3/5

100

x - 6 = 13

(NO CALCULATOR)

x - 6 = 13

+6 +6

x = 19

100

7 + (-3)

= 7 - 3

= 4

100

When Mr. O was a student, his best subject was ____, and his worst subject was ____.

Best subject: English

Worst subject: Math

200

8 + 2 • 7 - 2

= 8 + 14 - 2

= 22 - 2

= 20

200

6/8 - 4/8

= 2/8 (SIMPLIFY)

= 1/4

200

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!

200

-12 + 5

= 5 - 12

= -7

200

Name at least one of the two instruments can Mr. O play.

Bonus 50 points if you know both.

The piano and ukulele.

300

6 ÷ 2 + 5 • 2

= 3 + 5 • 2

= 3 + 10

= 13

300

3/4 - 3/12

= 3/3 • 3/4 - 3/12 (COMMON DENOMINATORS)

= 9/12 - 3/12

= 6/12 ÷ 6/6 (SIMPLIFY)

= 1/2

300

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 ✓

300

-4 - 6 - 3

= -10 - 3

= -13

300

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

400

9 ÷ 3 + 8 ÷ 2² • 2

9 ÷ 3 + 8 ÷ 4 • 2

3 + 8 ÷ 4 • 2

3 + 2 • 2

3 + 4 = 7

400

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

400

Solve and prove your answer:

x/2 + 3 = 5

-3 -3

2 • x/2 = 2 • 2

x = 4

4/2 + 3 = 5 (SUBSTITUTE)

2 + 3 = 5

5 = 5 ✓

400

-17 - (-6) + 1

-17 - (-6) + 1

= -17 + 6 + 1

= -11 + 1

= -10

400

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

500

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

500

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

500

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

500

-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

500

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.