Name:_________________________________ Class:___________ Date:________

8th Grade Winter Break

Math Packet This counts as a TEST grade!!!

Students that return the Winter packet will be

able to participate in an ice cream social after

break!

Draw a reflection of triangle ABC across the horizontal x­axis . Which coordinate pair corresponds to A’? A) (­2,­1) B) (­2,­4) C) (­4,­2) D) (2,1) E) (1,1)

Draw a reflection of triangle ABC across the horizontal x­axis . Which coordinate pair corresponds to C’? A) (4,5) B) (­4,­5) C) (1,­1) D) (5,3) E) (1,1)

What happened to flag A? A) Reflection across x­axis B) Reflection across y­axis C) 90o clockwise rotation about the origin D) 180o Rotation about the origin. E) 90o counter­clockwise rotation about the origin

What happened to flag A? A) Reflection across x­axis B) Reflection across y­axis C) 90o counter­clockwise rotation about the origin D) 180o Rotation about the origin. E) 90o clockwise rotation about the origin

Are these triangles congruent; why?

A) Congruent by SSS B) Congruent by SAS C) Congruent by ASA D) Not Congruent E) Insufficient information provided.

Are these triangles congruent; why?

A) Congruent by SSS B) Congruent by SAS C) Congruent by ASA D) Not Congruent E) Insufficient information provided.

These triangles are congruent by ASA. Draw the piece of information that is missing.

A) A tick mark on DF and LJ B) An angle arc on F and L C) A tick mark on DE and JK D) A tick mark on EF and LK E) These triangles can’t be congruent.

A) 50 B) 90 C) 180 D) 130 E) 45

A) 66 B) 114 C) 90 D) 120 E) 86

A) 80 B) 120 C) 60 D) 110 E) 100

A) 45 B) 180 C) 90 D) 270 E) 60

Scientific Notation

Example 1

Write 5,230,000 in scientific notation

5,230,000

Move the decimal 6 places to the left. The exponent will be 6.

5.23 x 106

Example 2

Write .00003573 in scientific notation.

.00003573

Move the decimal 5 place to the right. The exponent will be 5.

3.573 x 10 ­5

1.A store claims to have served more than 3 billion customers. What is 3 billion written in scientific notation?

2. In 2005, the US Mint in Denver produced 4.04 x 108 Oregon state quarters. What is 4.04 x 108 in standard form? 3. 0.000065 is the wave length of yellow light. Express the measurement using scientific notation. 4. The mass of a particle of dust is 7.53 x 10 ­10 kg. Express the mass in standard form.

Solving Equations and Functions

SOLVE FOR X

17 = 4X + 5

10X + 13 = 12X ­ 5

3X+7 = 25 4X + 7 = 3X + 15

Functions

Finding rate of change through table:

1. Find rate of change in Output(burgers). 2. Find rate of change in Input(People)

3. Put into a fraction: change in inputchange in output

4. Simplify

Rate of change: 27−5

14−10 ⇒ 24 ⇒

As each person increases by 1, the burgers increases by 2.

X or Input Y or Output

4 10

8 22

12 34

16 46

20 58

Find rate of change: 1. 2. 3. 4.

Complete the table using the following function or rule: Y= ­2x+4 ex: if X was ­3, ­2(­3) + 4 ⇓ 6 + 4 y = 10

X Y

­3 10

­2

­1

0

1

2

Rule of functions: A function has only one input per output. The table below shows an example. Input Output

­2 ­5

­1 ­3

0 ­1

1 1

Make a table of the following function: Y = 4X+1 Graph the function/rule.

0

1

2

3

4

Rules of Exponents Example: 35 = 3 x 3 x 3 x 3 x 3 = 3 x 3 = 32

33 3 x 3 x 3 1 1) 26 23 =

2)

3) 4) (32)5 =

___________________________________________________________________ Order of Operations

Ex// (23 + (15 3 + 32))

(23 + (15 3 + 9)) (23 + (5 + 9)) (23 + (14)) (8 + (14))

22 1) (42 + (10 2 + 52)) 2) (52 + (20 2 + ) 3) 6+3(42­15) + 4) 9­2(52­15) +

Number System and Roots

1. Which of the following numbers is not a rational number?

A. 3.14 B. √

C. √ D.

2. Order the numbers from least to greatest:

√ , π, √

√

4. What is the value of the following expression?

(√ ) =

5. Solve the equation below:

x3 = 125

6. Estimate √ .

Notes: