What is the additive inverse of 29?(1 point)
Responses
−(−|−29|)
negative open paren negative absolute value of negative 29 close paren
|−29|
absolute value of negative 29
29
29
−29
negative 29
Question 3
What is the solution to y+12=−17
(1 point)
Responses
y=5
y is equal to 5
y=−29
y is equal to negative 29
y=−5
y is equal to negative 5
y=29
y is equal to 29
Question 4
What is the solution to 7g=−42
(1 point)
Responses
g=6
g is equal to 6
g=4
g is equal to 4
g=−6
g is equal to negative 6
g=−4
g is equal to negative 4
Question 5
Which expression can be written as 5(7+11)?(1 point)
Responses
(5+7) + (5+11)
(5+7) + (5+11)
5(7) + 11
5(7) + 11
5(11)+7
5 times 11 plus 7
5(7)+5(11)
5 times 7 plus 5 times 11
Question 6
What is the solution to −12k = −60
(1 point)
Responses
k=−5
k is equal to negative 5
k=5
k is equal to 5
k=12
k is equal to 12
k=−12
k is equal to negative 12
Question 7
Which property is shown by 0 + 15 = 15?(1 point)
Responses
Distributive Property
Distributive Property
Commutative Property of Addition
Commutative Property of Addition
Associative Property of Addition
Associative Property of Addition
Identity Property of Addition
Identity Property of Addition
Question 8
What is the solution to m +(−11)=−19
(1 point)
Responses
m=−30
m is equal to negative 30
m=−8
m is equal to negative 8
m=30
m is equal to 30
m=8
m is equal to 8
Question 9
How is the sentence "15 less than x is 8" written as an equation?(1 point)
Responses
x=15−8
x is equal to 15 minus 8
x−8=15
x minus 8 is equal to 15
15−8−x=0
15 minus 8 minus x is equal to 0
x−15=8
x minus 15 is equal to 8
Question 10
What is the solution to 36y=4
?(1 point)
Responses
y=−9
y is equal to negative 9
y=8
y is equal to 8
y=−8
y is equal to negative 8
y=9
y is equal to 9
Question 11
Which property is shown by 6+9=9+6
?(1 point)
Responses
Distributive Property
Distributive Property
Associative Property of Addition
Associative Property of Addition
Identity Property of Addition
Identity Property of Addition
Commutative Property of Addition
Commutative Property of Addition
Question 12
What is the solution to m+(−20)=−32
?(1 point)
Responses
m=32
m is equal to 32
m=−12
m is equal to negative 12
m=12
m is equal to 12
m=−32
m is equal to negative 32
Question 13
Which symbol will make |−8| ? 8
true?(1 point)
Responses
>
is greater than
≠
is not equal to
<
<
=
is equal to
Question 14
What is the solution to 7m=−56
?(1 point)
Responses
m=8
m is equal to 8
m=−54
m is equal to negative 54
m=−8
m is equal to negative 8
m=54
m is equal to 54
Question 15
What is the solution to x−5=9
?(1 point)
Responses
x=45
x is equal to 45
x=−45
x is equal to negative 45
x=14
x is equal to 14
x=−14
x is equal to negative 14
Question 16
How is the sentence "7 more than q is -7" written as an equation?(1 point)
Responses
7−7+q=0
7 minus 7 plus q is equal to 0
q−7=7
q minus 7 is equal to 7
q=7+(−7)
q is equal to 7 plus negative 7
q+7=−7
q plus 7 is equal to negative 7
Question 17
Which number line shows the graph of -6, |-4|, and -2?(1 point)
Sorry, I cannot provide images or diagrams as an AI language model. However, I can describe the number line for you.
The number line would look something like this:
-6 -5 -4 -3 -2 -1 0 1 2 ...
-6 would be to the left of -4, |-4| would be at -4 (since the absolute value of -4 is 4), and -2 would be to the right of -4.
Expand 5(y + 2) using the distributive property.(1 point)
Responses
5y + 2
5 y plus 2
6y + 10
6 y plus 10
6y + 7
6 y plus 7
5y + 10
Apologies, but I'm unable to provide the responses as they are not listed in the question.
To determine the additive inverse of a number, you need to find the opposite value that, when added to the number, equals zero. In this case, the additive inverse of 29 is -29, as (-29) + 29 = 0.
To solve an equation like y + 12 = -17, you want to isolate the variable y. To do this, you can subtract 12 from both sides of the equation. This gives you y = -17 - 12, which simplifies to y = -29.
Similarly, for the equation 7g = -42, you want to isolate the variable g. You can divide both sides of the equation by 7, canceling out the coefficient of g. This gives you g = -42 / 7, which simplifies to g = -6.
For the expression 5(7+11), you need to apply the distributive property, where you multiply the number outside the parentheses (5) by each term inside the parentheses. This gives you 5 * 7 + 5 * 11, which simplifies to 35 + 55.
The solution to the equation -12k = -60 can be found by dividing both sides of the equation by -12, canceling out the coefficient of k. This gives you k = -60 / -12, which simplifies to k = 5.
The equation 0 + 15 = 15 demonstrates the identity property of addition, which states that adding zero to any number results in that same number.
To solve the equation m + (-11) = -19, you can isolate the variable m by adding 11 to both sides of the equation. This gives you m = -19 + 11, which simplifies to m = -8.
The sentence "15 less than x is 8" can be written as an equation by subtracting 15 from both sides of the equation. This gives you x - 15 = 8.
The solution to the equation 36y = 4 can be found by dividing both sides of the equation by 36, canceling out the coefficient of y. This gives you y = 4 / 36, which simplifies to y = 1/9.
The equation 6 + 9 = 9 + 6 demonstrates the commutative property of addition, which states that changing the order of numbers being added does not affect the sum.
To solve the equation m + (-20) = -32, you can isolate the variable m by adding 20 to both sides of the equation. This gives you m = -32 + 20, which simplifies to m = -12.
The absolute value of -8 is equal to 8, so the symbol ">" (greater than) would make the statement "|-8| > 8" true.
The solution to the equation 7m = -56 can be found by dividing both sides of the equation by 7, canceling out the coefficient of m. This gives you m = -56 / 7, which simplifies to m = -8.
To solve the equation x - 5 = 9, you can isolate the variable x by adding 5 to both sides of the equation. This gives you x = 9 + 5, which simplifies to x = 14.
The sentence "7 more than q is -7" can be written as an equation by subtracting 7 from both sides of the equation. This gives you q + 7 = -7.
Given the choices provided, I am unable to determine which number line shows the graph of -6, |-4|, and -2. Please provide the options for me to provide an accurate response.