Add, Subtract, Multiply, & Divide Monomials

Mixed Practice

100

When multiplying monomials (variables with exponents) you should (pick one) Add, Subtract, Multiply, Divide or keep the common variables and exponents.

m⁴ n⁶ ⋅ m² n³ =

Add exponents when multiplying monomials (variables with exponents)

m⁶ n⁹

200

Simplify. Answer must contain positive exponents only.

7² ⋅ 7⁶

7⁸

300

Simplify. Final answers must contain positive exponents only.

8a^-2 ⋅ 4a^-9

  32

_____

a¹¹

400

Simplify. Answer must contain positive exponents only.

6w³ ⋅ -3w⁴

-18 w⁷

500

Simplify. Answer must contain positive exponents only. Use order of opertions.

(3a⁶ b²)³ ⋅ 2ab⁴

54 a¹⁹ b¹⁰

Mixed Practice

100

When raising an exponent power to another power you should (pick one) Add, Subtract, Multiply or Divide the exponents.

(q² r³ s)²

When raising an exponent to another power you should Multiply the exponents.

q⁴ r⁶ s²

200

Simplify. Answer must contain positive exponents 

only.

2³

^____

2⁸

2^-5 =       1

           _____

               25

300

Simplify. Answer must contain positive exponents only.

x²⁰ y²

^_______

x⁴ y³

x¹⁶

^____

 y

400

Simplify. Answer must contain positive exponents only.

24 a^-2 b⁸

^__________

10 a² b^-3

12 b¹¹

^_______

5 a⁴

500

Simplify. Answer must contain positive exponents only.

24a^-2b⁸ 

^________

10a²b^-3

12b¹¹

^______

a⁴

Mixed Practice

100

When dividing monomials (variables with exponents) you should (pick one) Add, Subtract, Multiply, Divide, or keep the common variables and exponents.

c⁶ d³                                                                             c² d 

When dividing monomials (variables with exponents) you are to Subtract the exponents.

c⁴ d²

200

Simplify. Answer must contain positive exponents only.

(6⁴)⁷

6²⁸

300

Simplify. Answers must contain positive exponents only.

(-7a^-1 b⁴)²

49 b⁸

^_______

   a²

400

Simplify. Answer must contain positive exponents only.

(2a^-3)^-4

a¹²

^_____

16

500

Simplify. Answer must contain positive exponents only.

20 w³ ⋅ 3 w¹²

^{_______________}

        4 w⁵

15 w¹⁰

Mixed Practice

100

When adding and subtracting monomials (variables with exponents) you should (pick one) Add, Subtract, or keep the common variables and exponents.

2 x³ y⁴ z³  + 4 x³ y⁴ z³ =

When adding and subtracting monomials (variables with exponents) you should keep the common variables and exponents.

6 x³ y⁴ z³

200

Simplify. Answer must contain positive exponents only.

(6w⁷)

_____

4w¹¹

9 w³

300

Simplify. Answer must contain positive exponents only.

-15 k³ ⋅ 3 k^-10

-45

____

k⁷

400

Simplify. Answer must contain positive exponents only.

-9 x⁸ y³ ⋅ 4 x^-2 y¹¹ + 7 x⁶ y¹⁴

-29 x⁶ y¹⁴

500

Simplify. Answers must contains positive exponents only.

17 c⁹ d⁴ - 2 c³ d⁹ ⋅ 3 c⁶ d^-5

11 c⁹ d⁴

Mixed Practice

100

Simplify. Answer must contain positive exponents only.

-6x⁷ y³ - 2 x⁷ y³

-8x⁷ y³

200

Simplify. Answer must contain positive exponents only.

7a² - 17a - 3a² + 2a

4a^{2 -} 15a

300

Find the sum of 2ab and 9ab

11ab

400

Subtract 8p² q⁴ from -5p² q4

-13 p²  q⁴