Unit 7-9 Review

Statistics

100

Find the Mean

8, 12, 15, 12, 10, 8, 20

12.14

200

Create a stem and leaf plot

39, 15, 42, 21, 30, 27, 24, 21, 33, 36, 12, 18

1| 2 5 8

2| 1 1 4 7

3| 0 3 6 9

4| 2

300

Find the Mean, Median, Mode, and Range

20, 24, 6, 14, 10, 18, 12, 8, 16, 10, 2, 22, 4, 26

Mean = 13.71

Median = 13

Mode = 10

Range = 24

400

Find Q1, Q3, and the IQR

13, 29, 9, 17, 7, 13, 21, 11, 19, 15, 23, 5, 25

Q1 = 10

Q3 = 22

IQR = 12

500

Create a box and whisker plot 

35, 42, 35, 30, 40, 25, 30, 35, 38, 32, 28

Min = 25, Q1 = 30, Med = 35, Q3 = 38, Max = 42

Exponent Rules

100

Simplify:

(y⁵)⁰

1

200

Simplify:

x⁴⋅x⁶

x¹⁰

300

Simplify:

(12x⁶y⁴) / (3x²y)

4x⁴y³

400

Simplify

(x−2y³)²(x⁵y^-1)

x⁵y - 4x⁵y³ + 4x⁵y⁵

500

Simplify:

((3x⁵y^-2)³ / 9x⁴y^-5 ) ⋅ x^-2y³

3x⁹y²

Simplifying Square Roots

100

Simplify

√50

5√2

200

Simplify

√450

15√2

300

Simplify

√112y⁵

4y²√7y

400

Simplify

√252x³y²

6xy√7x

500

Simplify 

√972x⁶y³z¹⁰

18x³yz⁵√3y

Factoring

100

Factor using GCF

12p²+18p

6p (2p + 3)

200

Factor

9y² − 64

(3y - 8)(3y + 8)

300

Factor

x²+15x+56

(x + 8)(x + 7)

400

Factor

9a²+27a+18

9(a² + 3a + 2)

9(a + 1)(a + 2)

500

Factor

(27x³ - 81x² + 54x) / (9x² - 18x)

3x-3

Mixed Review

100

Find the LCM of 9xy³ and 15x²

45x²y³

200

Simplify

(5x²+3x−7)+(2x²−8x+4)−(x²−5x+6)

6x²-9

300

There is candy in a Easter basket: 5 are Kit Kats, 10 are Hershey bars, 3 are lollipops, and 2 are Reese's Peanut Butter Cups. What is the probability of selecting a Kit Kat?

5/20 or 0.25

400

There is candy in a Easter basket: 5 are Kit Kats, 10 are Hershey bars, 3 are lollipops, and 2 are Reese's Peanut Butter Cups. What is the probability of selecting a Kit Kat OR a Hershey bar?

0.75 or 3/4

500

There is candy in a Easter basket: 5 are Kit Kats, 10 are Hershey bars, 3 are lollipops, and 2 are Reese's Peanut Butter Cups. If you were to select 2 candies at random, what is the chance the first one is a Hershey bar and the second one is a Kit Kat?

0.132 or 5/38