Math 8SL Unit 2 Review

Combining Like Terms

100

Simplify: 

34-11c-7+2c

27-9c

200

Simplify:

-2(3x-9)

-6x+18

300

Simplify:

6x-4x^2-x-7+5x^2

5x+x^2-7

400

Simplify:

3(x-7)-2x+15

x-6

500

Simplify:

14y-(y-2)+5(y+9)

18y+47

Product Rule

100

Simplify with only positive exponents:

a^4*a^2

a^6

200

Simplify with only positive exponents:

x^8*x^-3

x^5

300

Simplify with only positive exponents:

5x^4*7x^3

35x^7

400

Simplify with only positive exponents:

(-9k^3)(2k^-8)

-18/k^5

500

Simplify with only positive exponents:

(-7c^-3d)(-4c^8d^-2)

(28c^5)/d

Quotient Rule

100

Simplify with only positive exponents:

a^12/a^4

a^8

200

Simplify with only positive exponents:

x^5/x^12

1/x^7

300

Simplify with only positive exponents:

(m^-2n^16)/(m^4n^2)

n^14/m^6

400

Simplify with only positive exponents:

(28xy^-4)/(4x^-5y)

(7x^6)/y^5

500

Simplify with only positive exponents:

(-21x^5y)/(12x^6y)

-7/(4x)

Power Rule

100

Simplify with only positive exponents:

(x^9)^3

x^27

200

Simplify with only positive exponents:

(cd^2)^4

c^4d^8

300

Simplify with only positive exponents:

(m^-2n^8)^3

n^24/m^6

400

Simplify with only positive exponents:

(4w^7)^3

64w^21

500

Simplify with only positive exponents:

(1/3r^2s^-5)^2

r^4/(9s^10)

Miscellaneous Monomial Madness

100

Simplify with only positive exponents:

(6w^7)^2/(4w^11)

9w^3

200

Simplify with only positive exponents:

(4r^8s)^3+2r^24s^3

66r^24s^3

300

Simplify with only positive exponents:

14pq-(18p^-3q^8)/(2p^-4q^7)

5pq

400

Simplify with only positive exponents:

-9x^8y^3*4x^-2y^11+7x^6y^14

-29x^6y^14

500

Simplify with only positive exponents:

(36m^25n^14)/(4m^7n^5)^3

(9m^4)/(16n)

Multiplying & Dividing Scientific Notation

100

Simplify and write your answer in scientific notation:

(9xx10^-4)(4xx10^10)

3.6xx10^7

200

Simplify and write your answer in scientific notation:

(16xx10^5)/(8xx10^3)

2xx10^2

300

Simplify and write your answer in scientific notation:

(5.2xx10^-4)-:(8xx10^-7)

6.5xx10^2

400

Simplify and write your answer in scientific notation:

(9.8xx10^4)(7.5xx10^-3)

7.35xx10^2

500

Simplify and write your answer in scientific notation:

(3xx10^7)-:400,000

7.5xx10^1

Adding & Subtracting Scientific Notation

100

Simplify and write your answer in scientific notation:

(2xx10^3)+(7xx10^3)

9xx10^3

200

Simplify and write your answer in scientific notation:

(5xx10^6)-(3xx10^6)

2xx10^6

300

Simplify and write your answer in scientific notation:

(3.8xx10^-5)-(9.4xx10^-7)

3.706xx10^-5

400

Simplify and write your answer in scientific notation:

Find the sum of  1.6xx10^2  and  9.2xx10^5 .

9.2016xx10^5

500

Simplify and write your answer in scientific notation:

(4xx10^-3)-(9.8xx10^-5)

3.902xx10^-3