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Distributive Law

100

4 ( A + B ) =

4A + 4B

200

6 ( B - 8 ) =

6B - 48

300

2a ( a + 5 ) =

2a² + 10a

400

5b ( -b² + 4 ) =

-5b³ + 20b

500

-4n ( 2n - 12) + 3n=

-8n² + 51n

Index Law

100

2³ x 2⁶ =

2⁹

200

m⁶ / m⁴

m²

300

p⁷ x p² / p⁹

p⁰ = 1

400

( a⁶ )⁹

a⁵⁴

500

( 2m³n⁹ )³

2³m⁹n²⁷ = 8m⁹n²⁷ 

Linear Equations

100

4n - 2 = 18

n = ?

n = 5

200

2n - 5 = 9

n = ?

n = 7

300

2n + 3² = 31

n = ?

n = 20

400

5 (n + 3) = 40

n = ?

n = 5

500

16 - n² = 7

n = ? 

n = 3 or n = -3

Substitution

100

m=7, n=4, p=12

solve the following:

mn =

mn = 28

200

m=7, n=4, p=12

solve the following:

p / n

p / n = 3

300

m=7, n=4, p=12

solve the following:

7m - p

7m - p = 37

400

m=7, n=4, p=12

solve the following:

m x n²  =

m x n²  = 112

500

m=7, n=4, p=12

solve the following:

m² + p² - n² =

m² + p² - n² = 177

Factorizing

100

Factorize the following:

2x + 4 = 

HINT: (think about the highest common factor!)

2x + 4 = 2 (x + 2)

200

Factorize the following:

5x - 15 =

HINT: (think about the highest common factor!)

5x - 15 = 5 (x - 3)

300

Factorize the following:

5x - 15 =

HINT: (think about the highest common factor!)

5x - 15 = 5 ( x - 3 )

400

Factorize the following:

8ab + 20a = 

HINT: (think about the highest common factor!)

8ab + 20a = 4a ( 2b + 5)

500

Factorize the following:

5a² - 10a³ =

HINT: (think about the highest common factor!)

5a² - 10a³ =5a² ( 1 - 2a )