Unit 5A Number Theory Test plzzzzzzzz
7 answers
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Lara writes the expression 1.5x + 2.75y + 3.
Maria writes the expression 3 + 1.5x + 2.75y.
Which property can be used to prove the two expressions are equivalent?
*
1 point
additive property
associative property
commutative property
distributive property
Two expressions are shown below.
Expression 1: 5x + 20
Expression 2: 5(x + 4)
Which mathematical property confirms that Expression 2 is equivalent to Expression 1?
*
1 point
Commutative Property of Multiplication
Identity Property of Multiplication
Associative Property of Addition
Distributive Property
Janet buys 4 bags of potatoes.
The first bag has 8 potatoes in it.
The second bag has 6 potatoes in it.
The third bag has 10 potatoes in it.
She has not yet counted the number of potatoes in the fourth bag.
To represent the total number of potatoes she has, Janet writes (8 + 6 + 10) + x, where x is the number of potatoes in the fourth bag. Which expression also represents the total number of potatoes Janet has?
*
1 point
2(4 + 3 + 5 + x)
2(6 + 4 + 8) + x
(8 + 6)(10 + x)
(8 + 6) + (10 + x)
Which expression is equivalent to
3x + 2.5(4x + 2)
*
1 point
13x + 2
13x + 5
22x + 2
22x + 5
Which expression is equivalent to
2x + 7y + 4x - 3y
*
1 point
6x + 10y
6x - 10y
6x + 4y
6x - 4y
Which expression is equivalent to the sum 49 + 28?
*
1 point
6(7 + 4)
6(7 + 7)
7(7 + 4)
7(7 + 7)
Which expression is equivalent to the sum 25 + 60?
*
1 point
5(5 + 6)
5 (5 + 8)
5(5 + 10)
5(5 + 12)
Which expression is equivalent to 7(y - 4)?
*
1 point
7y - 28
7y - 4
3y
7y - 3
What is the greatest common factor of 32 and 40?
*
1 point
2
4
8
16
What is the greatest common factor of 54 and 72?
*
1 point
8
9
12
18
Ms. V, a costume designer, has 36 witch buttons and 18 black cat buttons she must use to create costumes. What is the largest number of costumes she can make without having any buttons left over?
*
1 point
2
3
9
18
Landon has 60 peppermints and 90 candy corns. He wanted to make packages of these candies to bring to his school to pass out to his classmates. What is the maximum number of packages he can make using all items?
*
1 point
5
15
30
60
You are making 75 mint chocolate bars and 45 caramel pecan bars for some gift boxes. If each box will contain exactly the same bars, what is the greatest number of gift boxes you can put together?
*
1 point
5
15
25
45
What is the least common multiple of 12 and 9?
*
1 point
108
72
36
24
What is the least common multiple of 6 and 8?
*
1 point
24
36
48
64
Mr. Brian is planning a staff party. Plates come in packs of 8 and napkins come in packs of 12. Mr. Brian wants to buy the same number of napkins and plates. What is the smallest number of plates Mr. Brian can buy?
*
1 point
8
16
24
48
Mariana can make groups of 3, 4, or 9 pumpkins with none left over. What is the smallest number of pumpkins she must have to make these groups?
*
1 point
1
9
12
36
Claire takes private lacrosse lessons every 6 days and piano lessons every 4 days. In how many days will she have both piano and lacrosse on the same day?
*
1 point
2
12
18
24
Maria writes the expression 3 + 1.5x + 2.75y.
Which property can be used to prove the two expressions are equivalent?
*
1 point
additive property
associative property
commutative property
distributive property
Two expressions are shown below.
Expression 1: 5x + 20
Expression 2: 5(x + 4)
Which mathematical property confirms that Expression 2 is equivalent to Expression 1?
*
1 point
Commutative Property of Multiplication
Identity Property of Multiplication
Associative Property of Addition
Distributive Property
Janet buys 4 bags of potatoes.
The first bag has 8 potatoes in it.
The second bag has 6 potatoes in it.
The third bag has 10 potatoes in it.
She has not yet counted the number of potatoes in the fourth bag.
To represent the total number of potatoes she has, Janet writes (8 + 6 + 10) + x, where x is the number of potatoes in the fourth bag. Which expression also represents the total number of potatoes Janet has?
*
1 point
2(4 + 3 + 5 + x)
2(6 + 4 + 8) + x
(8 + 6)(10 + x)
(8 + 6) + (10 + x)
Which expression is equivalent to
3x + 2.5(4x + 2)
*
1 point
13x + 2
13x + 5
22x + 2
22x + 5
Which expression is equivalent to
2x + 7y + 4x - 3y
*
1 point
6x + 10y
6x - 10y
6x + 4y
6x - 4y
Which expression is equivalent to the sum 49 + 28?
*
1 point
6(7 + 4)
6(7 + 7)
7(7 + 4)
7(7 + 7)
Which expression is equivalent to the sum 25 + 60?
*
1 point
5(5 + 6)
5 (5 + 8)
5(5 + 10)
5(5 + 12)
Which expression is equivalent to 7(y - 4)?
*
1 point
7y - 28
7y - 4
3y
7y - 3
What is the greatest common factor of 32 and 40?
*
1 point
2
4
8
16
What is the greatest common factor of 54 and 72?
*
1 point
8
9
12
18
Ms. V, a costume designer, has 36 witch buttons and 18 black cat buttons she must use to create costumes. What is the largest number of costumes she can make without having any buttons left over?
*
1 point
2
3
9
18
Landon has 60 peppermints and 90 candy corns. He wanted to make packages of these candies to bring to his school to pass out to his classmates. What is the maximum number of packages he can make using all items?
*
1 point
5
15
30
60
You are making 75 mint chocolate bars and 45 caramel pecan bars for some gift boxes. If each box will contain exactly the same bars, what is the greatest number of gift boxes you can put together?
*
1 point
5
15
25
45
What is the least common multiple of 12 and 9?
*
1 point
108
72
36
24
What is the least common multiple of 6 and 8?
*
1 point
24
36
48
64
Mr. Brian is planning a staff party. Plates come in packs of 8 and napkins come in packs of 12. Mr. Brian wants to buy the same number of napkins and plates. What is the smallest number of plates Mr. Brian can buy?
*
1 point
8
16
24
48
Mariana can make groups of 3, 4, or 9 pumpkins with none left over. What is the smallest number of pumpkins she must have to make these groups?
*
1 point
1
9
12
36
Claire takes private lacrosse lessons every 6 days and piano lessons every 4 days. In how many days will she have both piano and lacrosse on the same day?
*
1 point
2
12
18
24
no ideas on any of these?
If not, guess you're doomed.
If not, guess you're doomed.
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I need help on these below but I got the rest of the answers
Ms. V, a costume designer, has 36 witch buttons and 18 black cat buttons she must use to create costumes. What is the largest number of costumes she can make without having any buttons left over?
*
1 point
2
3
9
18
Landon has 60 peppermints and 90 candy corns. He wanted to make packages of these candies to bring to his school to pass out to his classmates. What is the maximum number of packages he can make using all items?
*
1 point
5
15
30
60
You are making 75 mint chocolate bars and 45 caramel pecan bars for some gift boxes. If each box will contain exactly the same bars, what is the greatest number of gift boxes you can put together?
*
1 point
5
15
25
45
What is the least common multiple of 12 and 9?
*
1 point
108
72
36
24
What is the least common multiple of 6 and 8?
*
1 point
24
36
48
64
Mr. Brian is planning a staff party. Plates come in packs of 8 and napkins come in packs of 12. Mr. Brian wants to buy the same number of napkins and plates. What is the smallest number of plates Mr. Brian can buy?
*
1 point
8
16
24
48
Mariana can make groups of 3, 4, or 9 pumpkins with none left over. What is the smallest number of pumpkins she must have to make these groups?
*
1 point
1
9
12
36
Claire takes private lacrosse lessons every 6 days and piano lessons every 4 days. In how many days will she have both piano and lacrosse on the same day?
*
1 point
2
12
18
24
Ms. V, a costume designer, has 36 witch buttons and 18 black cat buttons she must use to create costumes. What is the largest number of costumes she can make without having any buttons left over?
*
1 point
2
3
9
18
Landon has 60 peppermints and 90 candy corns. He wanted to make packages of these candies to bring to his school to pass out to his classmates. What is the maximum number of packages he can make using all items?
*
1 point
5
15
30
60
You are making 75 mint chocolate bars and 45 caramel pecan bars for some gift boxes. If each box will contain exactly the same bars, what is the greatest number of gift boxes you can put together?
*
1 point
5
15
25
45
What is the least common multiple of 12 and 9?
*
1 point
108
72
36
24
What is the least common multiple of 6 and 8?
*
1 point
24
36
48
64
Mr. Brian is planning a staff party. Plates come in packs of 8 and napkins come in packs of 12. Mr. Brian wants to buy the same number of napkins and plates. What is the smallest number of plates Mr. Brian can buy?
*
1 point
8
16
24
48
Mariana can make groups of 3, 4, or 9 pumpkins with none left over. What is the smallest number of pumpkins she must have to make these groups?
*
1 point
1
9
12
36
Claire takes private lacrosse lessons every 6 days and piano lessons every 4 days. In how many days will she have both piano and lacrosse on the same day?
*
1 point
2
12
18
24
53 answers