Final Math Review

Solve the Equation

100

x + 3 = 10

x + 3 = 10

       ^{-3        -3}

x = 7

200

15X = 45

15X = 45
15      15

X = 3

300

5X - 10 = 60

 

5X - 10 = 60

        ^{+10     +10}

5X = 70
5        5

X = 12

400

5X - 10 + (2 * 5) = 55
        2

5X - 10 + (2 * 5) = 55
        2

5X - 10 + 10 = 55
        2

5X - 5 + 10 = 55

5X + 5 = 55
        ^{-5         -5}

5X = 50
5        5

X = 10

500

4X + 20 - (5*4) + 4² = 20

4X + 20 - (20) + 4² = 20

4X + 20 - (20) + 16 = 20

4X + 0 + 16 = 20

4X + 16 = 20
           ^{-16      -16}
4X =   4
4        4

X = 1 

Subtracting Integers

100

10-5 = 

5

200

30-20 = 

10

300

12 - (-5) =

17

400

-10 - 20 = 

-30

500

40-20 - 15 - (-10) - 25 = 

0

Exponents

100

X⁸

 ___    = 

X⁴

X⁴

200

3³ X 3^{6 =} 

3⁹

3³⁺⁶ = 3⁹

300

X¹⁰Y¹²Z¹⁵
--------

X⁸Y⁷Z¹²

X²Y⁵Z³

X^10-8 Y^12-7 Z^15-12

400

(X³)⁵ 

X¹⁵

X^3*5

500

(X³)⁴
------
(X²)²

X⁸

X^3*4
-------
X^2*2

X^12
------
X⁸                                 X^12-4 = X⁸

Simplify

100

13 + 10 = 

23

200

12*5 - 10 = 

50

300

(7+3) * 2 + 10 = 

30

400

3² + 11 - (2*5) = 

10

500

4²   + 10 + (10-4) =
2²

20

Multiplying Integers

100

5 X 5 =

25

200

10 X -2 = 

-20

300

-4 X -4 = 

16

400

-10 X 10 X (-2) = 

200

500

-5 X -5 X 2 X -2 =

-100