Packet #1

Question 0

Order of operations

Answer 0

Parentheses
Exponents
* / left to right
+ - left to right

Question 1

What is an algebraic expression or variable expression?

Answer 1

Representation of unknown numbers. Usually use letters as placeholders for numbers.

Ex. 3x/xy/etc.

Question 2

48/12+4/2+3

Answer 2

(48/12)+(4/2)+3
(4)+(2)+3
4+2+3=9

Question 3

92-3(2(5-2))

Answer 3

92-3(2(5-2))
92-3(2(3))
92-3(6)
92-18=74

Question 4

83-(4(12-7)/5

Over 5

Answer 4

(83) - 4(12-7)/5
(83) - 4(5)/5
(83)-20/5
83-4=79

Question 5

Evaluate 9xy-4xz+3yz for x=7, y=3, z=2

Answer 5

9xy-4xz+3yz
(9(7)(3))-(4(7)(2))+(3(3)(2))
(9(21))-(4(14))+(3(6))
189-56+18
151

Question 6

Greatest common factor

Answer 6

The highest number that divides exactly into 2 or more numbers.

Question 7

Least common multiple

Answer 7

Smallest common multiple of two integers

Question 8

Definition of “divides”

Answer 8

to separate (something) into two or more parts or pieces

Question 9

3/6

Answer 9

3 divides 6
3 divides into 6
3 divides into 6 evenly
3 is a factor of 6
6 divided by 3 is even
3*2=6

Question 10

why is 5 a factor of 15?

Answer 10

5*3=15

Question 11

why does 20/60?

Answer 11

20*3=60

Question 12

4 goes into 12 evenly because…

Answer 12

4*3=12

Question 13

7 does not divide 12 evenly because…

Answer 13

7*1=1

7*2=14

Question 14

what is a prime number?

Answer 14

a whole number that is divisible only by 1 and itself.

Question 15

what is prime factorization?

Answer 15

(factor tree) breaks a composite number into the product of primes.

Question 16

make factor tree for 12

Answer 16

12
/ \
4 * 3
/
2*2

Question 17

rule of 2

Answer 17

if the number is even, it is divisible by 2

Question 18

Rule of 3

Answer 18

a whole number is divisible by 3 if the sum of its digits is divisible by 3

Question 19

rule of 5

Answer 19

a whole number is divisible by 5 if the units digit is divisible by 5

Question 20

rule of 9

Answer 20

a whole number is divisible by 9 if the sum of the digits is divisible by 9

Question 21

how to add integers with like signs

Answer 21

add their absolute values and take the common sign

Question 22

how to add integers with unlike signs

Answer 22

subtract the smaller absolute value from the larger absolute value and take the sign of the larger.

Question 23

(+)(+)

Answer 23

positive answer

Question 24

(-)(-)

Answer 24

positive answer

Question 25

(+)(-)

Answer 25

negative

Question 26

(-)(+)

Answer 26

negative

Question 27

+/+

Answer 27

positive

Question 28

-/-

Answer 28

positive

Question 29

-/+

Answer 29

negative

Question 30

+/-

Answer 30

negative