Unit 2

Translating

100

Three subtracted from a number 

X-3

200

Two fifths of a number

2/5x

300

The quotient of a number and -4

X/-4

400

The difference of twice a number and 9

2n-9

500

27 less than the product of a number and 5

5n-27

Factoring

100

9x+63

9(x+7)

200

6r-48s

6(r-8s)

300

Simplify then factor

4x-2-x+23

3(x+7)

400

-4+2(8-5h)+18h

4(2h+3)

500

26x-2(3x+4y)-10y

2(10x-9y)

Polynomials

100

8(4w-7)+4(2w+23)

40w+36

200

-5x-4(x+2y)+9y-7x

3a-40

300

(6-v²+14v)+(-3v-18+5v²)

4v²+11v-12

400

What is 8x+11 less than the product of -2 and

x-7

-10x+3

500

-(4x²+13x-2)-(x²-5+16)

-5x²-8x-14

Scientific Notation

100

Write 75,000 in scientific notation 

7.5x10⁴

200

(9x10^-4)(4x10¹⁰)

3.6x10⁷

300

(4x10^-3)(9.8x10^-5)

3.92x10^-7

400

The volume of the moon is approximately 2.2x10¹⁰km while the volume of the sun is 1.4x10¹⁸km. How many times larger is the volume of the sun than the moon? 

about 6.364x10⁷

500

An average of 3.53x10⁵ babies are born each day around the world. How many babies are born around the world in January?

1.0943x10⁷ babies 

Exponents

100

7^-5 x 7²

1/7³

200

(5m²n^-1)(4m⁷n^-2)

20m⁹/n³

300

15a³b¹⁰/

18a⁴b²

5b⁸/6a

400

(-6a³b⁷)²/

4a⁸b³

9b¹¹/a²

500

-6m⁷-5m⁵n³ x 2m²n^-3

-16m⁷