Week 2: Advanced Math-GCF and LCM

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Welcome Back! 

This Week 2: Greatest Common Factors and Least Common Multiples lesson has a short video and about 10 questions relating to GCF and LCM.   Then there are about 10 questions reviewing math vocabulary.

Be sure to attempt all the questions and submit when you are finished. Although you are welcome to do both math lessons, you I am only assigning you the Advanced Math Lesson each week, so you can disregard the Pre-Algebra Lesson. 

What are the factors of 9?

9, 18, 27, 36...

1, 3, 9

C

D

Find the greatest common factor of 12 and 32

What is the LCM of 6 and 8?

Is 2(9 + 12) = 42? Why or why not?

A. Yes, because 2• 9 = 18; and 18 + 18 = 42  

B. Yes, because 2• 9 = 18; and 2 • 12 = 24; and 18 + 24 = 42

C. No, because 2• 9 = 18; and 18 + 12 = 30

D. No, because 2• 9 = 18; and 9 • 12 = 108; and 18 + 108 = 126

Which number is both a multiple of 6 and a factor of 60?

A. 10

B. 12

C. 15

D. 20

According to the correct order of operations, what should be done first in any mathematical equation?

a. Addition

b. Division

c. Multiplication

d. Whatever's inside parentheses

7(5 + 4) =

Select all that apply

How can you express 11 x 7 using the distributive property?

a. 7 x 11

b. (11 x 1) + (3 x 4)

c. 11 x (3 x 4)

d. 11(3) + 11(4)

There are 18 girls and 24 boys who want to participate in a Trivia Challenge. If each team must have the same number of girls and boys, what is the greatest number of teams that can enter? How many boys and girls will be on each team?

Choose the correct answer statement below.

A.  There will be 6 teams, each having 3 girls and 4 boys.

B.  There will be 9 teams, each having 3 girls and 6 boys.

C.  There will be 3 teams, each having 3 girls and 3 boys.

D.  There will be 5 teams, each having 6 girls and 4 boys.

The next 10 questions are review of math terminology. 

Fill in the blank.

The distance a number is from zero on a number line is the ___________________ of the number.

A integer

B difference

C sum

D absolute value

Fill in the blank.

A __________________ is any positive or negative number, and zero.

A integer

B difference

C sum

D absolute value

Fill in the blank.

A _______________________ is an integer less than zero.

A integer

B negative number

C positive number

D absolute value

Fill in the blank.

A _______________________ is an integer greater than zero.

A integer

B negative number

C positive number

D absolute value

Which word means...?

The answer to a subtraction problem

A sum

B difference

C positive numbers

D additive inverse

Which word means...?

The answer to an addition problem

A sum

B difference

C positive numbers

D additive inverse

Which word means...?

The sum of a number and this is equal to 0

A difference

B absolute values

C positive numbers

D additive inverse

Which word means...?

To make clear or easier to understand

A clarify

B evaluate

C difference

D integer

Which word means...?

To find the answer

A clarify

B evaluate

C sum

D solve

Which word means...?

Part of a whole

A fraction

B clarify

C evaluate

D solve

Which questions was the most difficult for you today?

How long did this lesson take you to complete today?

What are the factors of 9? 

9, 18, 27, 36...

1, 3, 9

C

D

Is 2(9 + 12) = 42? Why or why not?

A. Yes, because 2• 9 = 18; and 18 + 18 = 42  

B. Yes, because 2• 9 = 18; and 2 • 12 = 24; and 18 + 24 = 42

C. No, because 2• 9 = 18; and 18 + 12 = 30

D. No, because 2• 9 = 18; and 9 • 12 = 108; and 18 + 108 = 126

Which number is both a multiple of 6 and a factor of 60?

A. 10

B. 12

C. 15

D. 20

According to the correct order of operations, what should be done first in any mathematical equation? 

a. Addition

b. Division

c. Multiplication

d. Whatever's inside parentheses

 7(5 + 4) = 

Select all that apply 

a. (7 x 5) + (7 x 4) 

b. 7+5+7+4

c. 63

d. 35+28

e. 7-2(4 x 5)

How can you express 11 x 7 using the distributive property?    

a. 7 x 11

b. (11 x 1) + (3 x 4)

c. 11 x (3 x 4)

d. 11(3) + 11(4)

There are 18 girls and 24 boys who want to participate in a Trivia Challenge. If each team must have the same number of girls and boys, what is the greatest number of teams that can enter? How many boys and girls will be on each team? 
 
Choose the correct answer statement below.

A.  There will be 6 teams, each having 3 girls and 4 boys.

B.  There will be 9 teams, each having 3 girls and 6 boys.

C.  There will be 3 teams, each having 3 girls and 3 boys.

D.  There will be 5 teams, each having 6 girls and 4 boys.

Fill in the blank.

The distance a number is from zero on a number line is the ___________________ of the number.

A integer

B difference

C sum

D absolute value

Fill in the blank.

A __________________ is any positive or negative number, and zero.

A integer

B difference

C sum

D absolute value

Fill in the blank.

A _______________________ is an integer less than zero.

A integer

B negative number

C positive number

D absolute value

Fill in the blank.

A _______________________ is an integer greater than zero.

A integer

B negative number

C positive number

D absolute value

Which word means...?

The answer to a subtraction problem

A sum

B difference

C positive numbers

D additive inverse

Which word means...?

The answer to an addition problem

A sum

B difference

C positive numbers

D additive inverse

Which word means...?

The sum of a number and this is equal to 0

A difference

B absolute values

C positive numbers

D additive inverse

Which word means...?

To make clear or easier to understand

A clarify

B evaluate

C difference

D integer

Which word means...?

To find the answer

A clarify

B evaluate

C sum

D solve

Which word means...?

Part of a whole

A fraction

B clarify

C evaluate

D solve

Week 2: Advanced Math-GCF and LCM

Week 2: Advanced Math-GCF and LCM

Find the greatest common factor of 12 and 32

What is the LCM of 6 and 8?

Which questions was the most difficult for you today?

How long did this lesson take you to complete today?

What are the factors of 9?

Find the greatest common factor of 12 and 32

What is the LCM of 6 and 8?

Is 2(9 + 12) = 42? Why or why not?

Which number is both a multiple of 6 and a factor of 60?

According to the correct order of operations, what should be done first in any mathematical equation?

7(5 + 4) = Select all that apply

How can you express 11 x 7 using the distributive property?

There are 18 girls and 24 boys who want to participate in a Trivia Challenge. If each team must have the same number of girls and boys, what is the greatest number of teams that can enter? How many boys and girls will be on each team? Choose the correct answer statement below.

Fill in the blank.The distance a number is from zero on a number line is the ___________________ of the number.

Fill in the blank.A __________________ is any positive or negative number, and zero.

Fill in the blank.A _______________________ is an integer less than zero.

Fill in the blank.A _______________________ is an integer greater than zero.

Which word means...?The answer to a subtraction problem

Which word means...?The answer to an addition problem

Which word means...?The sum of a number and this is equal to 0

Which word means...?To make clear or easier to understand

Which word means...?To find the answer

Which word means...?Part of a whole

Which questions was the most difficult for you today?

How long did this lesson take you to complete today?

7(5 + 4) =

Select all that apply

There are 18 girls and 24 boys who want to participate in a Trivia Challenge. If each team must have the same number of girls and boys, what is the greatest number of teams that can enter? How many boys and girls will be on each team?

Choose the correct answer statement below.

Fill in the blank.

The distance a number is from zero on a number line is the ___________________ of the number.

Fill in the blank.

A __________________ is any positive or negative number, and zero.

Fill in the blank.

A _______________________ is an integer less than zero.

Fill in the blank.

A _______________________ is an integer greater than zero.

Which word means...?

The answer to a subtraction problem

Which word means...?

The answer to an addition problem

Which word means...?

The sum of a number and this is equal to 0

Which word means...?

To make clear or easier to understand

Which word means...?

To find the answer

Which word means...?

Part of a whole