mat150 exam 1 review. true or false: { } is equivalent to {0}

MAT150

Exam 1 Review

True or False:

{ } is equivalent to {0}

True or False:

{ } is equivalent to {0}

FALSE Since the first set has zero elements and the second

set has one element.

True or False:

{1,2,3} is a subset of {2,3,1}

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.

True or False:

1 is the identity element for division of whole numbers.

True or False:

1 is the identity element for division of whole numbers.

FALSE there is no identity element for division.

True or False:

The set of whole numbers is closed under addition.

True or False:

The set of whole numbers is closed under addition.

TRUE since the sum of two whole numbers is a whole

number.

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?

Answer: 48 boxes

Each triplet has 16 boxes:

Multiply this by 3 (since there are 3 triplets).

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?

Answer: Repeated Addition

It is NOT :

• Area Model

• Cartesian Product

• Rectangular Array

Find the missing term:

2 5 9 14 20 27 ____

Find the missing term:

2 5 9 14 20 27 35

Find the missing term:

2+3 5+4 9+5 14+6 20+7 27+8 35

Arithmetic, Geometric or Neither?

12 17 22 27 32 37

Arithmetic, Geometric or Neither?

12 17 22 27 32 37

This is an arithmetic sequence with a common

difference of _____.

Arithmetic, Geometric or Neither?

12 17 22 27 32 37

This is an arithmetic sequence with a common

difference of 5.

Arithmetic, Geometric or Neither?

1 2 4 8 16 32

Arithmetic, Geometric or Neither?

1 2 4 8 16 32

This is geometric with a common ratio of ____.

Arithmetic, Geometric or Neither?

1 2 4 8 16 32

This is geometric with a common ratio of 2.

A={@, #, $, *, %} B={#, X, %, $, ?}

BA

BA

A={@, #, $, *, %} B={#, X, %, $, ?}

BA

BA {@, #, $, *, %, X, ?}

{#, $}

Consider the set {5, 7, 9, . . .}

Is the set finite or infinite?

Consider the set {5, 7, 9, . . .}

Is the set finite or infinite?

The set is infinite since it continues forever.

Consider the set {5, 7, 9, . . .}

Is the set closed under addition?

Consider the set {5, 7, 9, . . .}

Is the set closed under addition?

No. It is not closed since, for example, 5+7=12 and

12 is not in the set.

Consider the set {5, 7, 9, . . .}

Is the set closed under multiplication?

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.

Give the equation represented by the model.

Give the equation represented by the model.

This is 5 – 3 = 2 by the comparison approach.

Write a word problem to illustrate 3x5 using the Cartesian

product approach

Write a word problem to illustrate 3x5 using the Cartesian

product approach

An Example:

Rockie’s 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 Cream={i1, i2, i3} Cones={c1, c2, c3, c4, c5}

Thursday, February 10Exam 1

Quiz 3

Activity Due: Find the Missing Numbers