2(a+3) = 2a+6; Distributive Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Distributive Property
Which of the following shows the correct pairing of a property of operations and its example?(1 point)
Responses
2(a+3) = 2a+6; Commutative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Commutative Property
2(a+3) = 2a+6; Associative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Associative Property
2a + 3b = 3b + 2a; Commutative Property
2 A plus 3 b is equal to 3 b plus 2 A ; Commutative Property
2a +3b = 3b + 2a; Distributive Property
2 A plus 3 b is equal to 3 b plus 2 A ; Distributive Property
11 answers
you sure this is correct?
I apologize for the confusion. You are correct, the correct pairing is:
2(a+3) = 2a+6; Distributive Property
2(a+3) = 2a+6; Distributive Property
Which expression is equivalent to 2(x+3)+4(x+1)?(1 point)
Responses
6x+10
6 x plus 10
6x+7
6 x plus 7
2x+10
2 x plus 10
3x+10
Responses
6x+10
6 x plus 10
6x+7
6 x plus 7
2x+10
2 x plus 10
3x+10
The expression that is equivalent to 2(x+3)+4(x+1) is:
6x+10
6x+10
Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point)
Responses
12a+10
12 A plus 10
10a +12
10 A plus 12
10a +22
10 A plus 22
9a +12
Responses
12a+10
12 A plus 10
10a +12
10 A plus 12
10a +22
10 A plus 22
9a +12
To generate an expression equivalent to 2(a+5)+4(2a+3)−10 using the Associative and Commutative Properties, we can rearrange the terms.
First, let's simplify the expression inside the parentheses:
2(a+5) becomes 2a+10
4(2a+3) becomes 8a+12
Now we can rearrange the terms using the properties:
2a+10 + 8a+12 - 10 = (2a + 8a) + (10 + 12) - 10
= 10a + 22 - 10
= 10a + 12
Therefore, the expression equivalent to 2(a+5)+4(2a+3)−10 using the Associative and Commutative Properties is:
10a + 12
First, let's simplify the expression inside the parentheses:
2(a+5) becomes 2a+10
4(2a+3) becomes 8a+12
Now we can rearrange the terms using the properties:
2a+10 + 8a+12 - 10 = (2a + 8a) + (10 + 12) - 10
= 10a + 22 - 10
= 10a + 12
Therefore, the expression equivalent to 2(a+5)+4(2a+3)−10 using the Associative and Commutative Properties is:
10a + 12
A class is given this question on a test about exponents: A squirrel collects 12 nuts an hour for 12 hours on 12 days. Write an expression with and without exponents to find how many nuts the squirrel collected.
Two students provided these answers.
Student A Student B
123 123
12⋅3 12⋅12⋅12
36 nuts 1,728 nuts
Which student is correct? Explain what the incorrect student did incorrectly.
Two students provided these answers.
Student A Student B
123 123
12⋅3 12⋅12⋅12
36 nuts 1,728 nuts
Which student is correct? Explain what the incorrect student did incorrectly.
Student B is correct.
Student A wrote the expression 123, which is incorrect. This expression does not accurately represent the scenario or calculate the total number of nuts collected.
Student B wrote the expression 12⋅12⋅12, which is correct. This expression represents the 12 nuts collected per hour, for 12 hours, for 12 days. By multiplying all the values together, we find the total number of nuts collected.
36 nuts is not the correct answer; it is only the product of the first hour's collection. The correct answer is 1,728 nuts.
Student A wrote the expression 123, which is incorrect. This expression does not accurately represent the scenario or calculate the total number of nuts collected.
Student B wrote the expression 12⋅12⋅12, which is correct. This expression represents the 12 nuts collected per hour, for 12 hours, for 12 days. By multiplying all the values together, we find the total number of nuts collected.
36 nuts is not the correct answer; it is only the product of the first hour's collection. The correct answer is 1,728 nuts.
A class is given this question on a test about exponents: A squirrel collects 12 nuts an hour for 12 hours on 12 days. Write an expression with and without exponents to find how many nuts the squirrel collected.
Two students provided these answers.
Student A Student B
12^3 12^3
12⋅3 12⋅12⋅12
36 nuts 1,728 nuts
Which student is correct? Explain what the incorrect student did incorrectly.
Two students provided these answers.
Student A Student B
12^3 12^3
12⋅3 12⋅12⋅12
36 nuts 1,728 nuts
Which student is correct? Explain what the incorrect student did incorrectly.
Student A is correct.
Student B wrote the expression 12⋅3, which is incorrect. This expression does not accurately represent the scenario or calculate the total number of nuts collected. It only calculates the product of 12 and 3, which is 36, but it does not take into account the number of hours or days.
Student A wrote the expression 12^3, which is correct. This expression represents 12 raised to the power of 3. In this scenario, it means that the squirrel collects 12 nuts per hour, for 12 hours, for 12 days. By taking 12 to the power of 3, we find the total number of nuts collected, which is 1,728 nuts.
Student B wrote the expression 12⋅3, which is incorrect. This expression does not accurately represent the scenario or calculate the total number of nuts collected. It only calculates the product of 12 and 3, which is 36, but it does not take into account the number of hours or days.
Student A wrote the expression 12^3, which is correct. This expression represents 12 raised to the power of 3. In this scenario, it means that the squirrel collects 12 nuts per hour, for 12 hours, for 12 days. By taking 12 to the power of 3, we find the total number of nuts collected, which is 1,728 nuts.
1 answer