MAT150

1
MAT150

• Exam 1 Review

2
True or False

• is equivalent to 0

3
True or False

• is equivalent to 0
• FALSE Since the first set has zero elements and
  the second set has one element.

4
True or False

• 1,2,3 is a subset of 2,3,1

5
True or False

• 1,2,3 is a subset of 2,3,1
• TRUE since each element of the first set is found
  in the second set.

6
True or False

• 1 is the identity element for division of whole
  numbers.

7
True or False

• 1 is the identity element for division of whole
  numbers.
• FALSE there is no identity element for division.

8
True or False

• The set of whole numbers is closed under
  addition.

9
True or False

• The set of whole numbers is closed under
  addition.
• TRUE since the sum of two whole numbers is a
  whole number.

10
SOLVE

• The triplets each have a green box. Each green
  box contains 3 smaller blue boxes. In each
  smaller blue box, there are 4 tiny yellow boxes.
  How many boxes do they have in all?

11
Answer 48 boxes

• Each triplet has 16 boxes

Multiply this by 3 (since there are 3 triplets).
12
Choose the best approach/model for interpreting
the following multiplication problem

• Kristen bought 25 packages of hotdog buns for
  80 cents each. How much did she spend in all?

13
Answer Repeated Addition

• It is NOT
• Area Model
• Cartesian Product
• Rectangular Array

14
Find the missing term

• 5 9 14 20 27 ____

15
Find the missing term

1. 5 9 14 20 27 35

16
Find the missing term

• 23 54 95 146 207 278 35

17
Arithmetic, Geometric or Neither?

1. 17 22 27 32 37

18
Arithmetic, Geometric or Neither?

• 17 22 27 32 37
• This is an arithmetic sequence with a common
  difference of _____.

19
Arithmetic, Geometric or Neither?

• 17 22 27 32 37
• This is an arithmetic sequence with a common
  difference of 5.

20
Arithmetic, Geometric or Neither?

• 1 2 4 8 16 32

21
Arithmetic, Geometric or Neither?

• 2 4 8 16 32
• This is geometric with a common ratio of ____.

22
Arithmetic, Geometric or Neither?

• 2 4 8 16 32
• This is geometric with a common ratio of 2.

23
A_at_, , , , B, X, , , ?
24
A_at_, , , , B, X, , , ?
_at_, , , , , X, ?
,
25
Consider the set 5, 7, 9, . . .

• Is the set finite or infinite?

26
Consider the set 5, 7, 9, . . .

• Is the set finite or infinite?
• The set is infinite since it continues forever.

27
Consider the set 5, 7, 9, . . .

• Is the set closed under addition?

28
Consider the set 5, 7, 9, . . .

• Is the set closed under addition?
• No. It is not closed since, for example, 5712
  and 12 is not in the set.

29
Consider the set 5, 7, 9, . . .

• Is the set closed under multiplication?

30
Consider the set 5, 7, 9, . . .

• Is the set closed under multiplication?
• Yes. It is closed under multiplication since the
  product of two odds is an odd. The product of
  two element of the set is also in the set.

31
Give the equation represented by the model.
32
Give the equation represented by the model.

• This is 5 3 2 by the comparison approach.

33
Write a word problem to illustrate 3x5 using the
Cartesian product approach
34
Write a word problem to illustrate 3x5 using the
Cartesian product approach

• An Example
• Rockies Ice Cream shop sells 3 kinds of ice
  cream and 5 types of cones. How many different
  combinations can be made with these choices?
• Ice Creami1, i2, i3 Conesc1, c2, c3, c4,
  c5

35
Thursday, February 10

• Exam 1
• Quiz 3
• Activity Due Find the Missing Numbers