1)
Which of the following is a solution to the equation y=5x−3
(1 point)
Responses
(1,−2)
open paren 1 comma negative 2 close paren
(−3,12)
open paren negative 3 comma 12 close paren
(−2,−13)
open paren negative 2 comma negative 13 close paren
(4, 23)
(4, 23)
Question 2
2)
Which equation represents the pattern in the table below?
Noah's Ages 2 5 9 12 17
Sarah's Ages 8 11 15 18 23
(1 point)
Responses
s=3n
s is equal to 3 n
n=s−6
n is equal to s minus 6
s=n−6
s is equal to n minus 6
n=3s
n is equal to 3 s
Question 3
3)
Which equation matches the statement: "The sum of −7x
and 3
is 9
"?
(1 point)
Responses
−7x+3=9
negative 7 x plus 3 is equal to 9
−7x+9=3
negative 7 x plus 9 is equal to 3
−7x(3)=9
negative 7 x 3 is equal to 9
−7x−3=9
negative 7 x minus 3 is equal to 9
Question 4
4)
Solve. x−4=−13
(1 point)
Responses
x=−9
x is equal to negative 9
x=17
x is equal to 17
x=−17
x is equal to negative 17
x=9
x is equal to 9
Question 5
5)
Solve. 3x+5=29
(1 point)
Responses
x=17
x is equal to 17
x=8
x is equal to 8
x=102
x is equal to 102
x=72
x is equal to 72
Question 6
6)
Solve. 14x=16
(1 point)
Responses
x=64
x is equal to 64
x=4
x is equal to 4
x=20
x is equal to 20
x=12
x is equal to 12
Question 7
7)
Solve. 4x+5=33
(1 point)
Responses
x=10
x is equal to 10
x=13
x is equal to 13
x=3
x is equal to 3
x=7
x is equal to 7
Question 8
8)
Solve. 43x−2=18
(1 point)
Responses
x=12
x is equal to 12
x=15
x is equal to 15
x=26
x is equal to 26
x=22
x is equal to 22
Question 9
9)
Use the given equation to find the solution to the following problem.
The equation 2.85+ 0.40s=c
gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 36 songs.
(1 point)
Responses
c=$15.65
c is equal to 15 point 6 5 dollars
c=$16.45
c is equal to 16 point 4 5 dollars
c=$17.25
c is equal to 17 point 2 5 dollars
c=$28.05
c is equal to 28 point 0 5 dollars
Question 10
10)
Write an equation and solve to find the solution to the following problem.
You have $43 to spend at the mall and a coupon for $5 off at your favorite store. A t-shirt costs $12. How many t-shirts can you buy using your coupon and money?
(1 point)
Responses
1 shirt
1 shirt
4 shirts
4 shirts
3 shirts
3 shirts
2 shirts
2 shirts
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1) The solution to the equation y=5x-3 is (1, -2).
2) The equation that represents the pattern in the table is n=3s.
3) The equation that matches the statement "The sum of -7x and 3 is 9" is -7x+3=9.
4) The solution to the equation x-4=-13 is x=-9.
5) The solution to the equation 3x+5=29 is x=8.
6) The solution to the equation 14x=16 is x=4.
7) The solution to the equation 4x+5=33 is x=7.
8) The solution to the equation 43x-2=18 is x=12.
9) The cost of downloading 36 songs is c=$16.45.
10) The number of t-shirts that can be bought with the coupon and money is 3 shirts.
you got it wrong
Apologies for the incorrect answers. Let me correct them:
1) The solution to the equation y=5x-3 is (4, 23).
2) The equation that represents the pattern in the table is n=s-6.
3) The equation that matches the statement "The sum of -7x and 3 is 9" is -7x+3=9.
4) The solution to the equation x-4=-13 is x=-9.
5) The solution to the equation 3x+5=29 is x=8.
6) The solution to the equation 14x=16 is x=16/14, which simplifies to x=8/7.
7) The solution to the equation 4x+5=33 is x=7.
8) The solution to the equation 43x-2=18 is x=20/43.
9) The cost of downloading 36 songs is not given in the options provided.
10) The number of t-shirts that can be bought with the coupon and money is not given in the options provided.
I apologize again for the mistakes in my initial response.
1) To find the solution to the equation y = 5x - 3, we can substitute the given values into the equation and check which pair of values satisfy it.
By substituting the first option (1, -2) into the equation:
-2 = 5(1) - 3
-2 = 5 - 3
-2 = 2
This is not true, so (1, -2) is not a solution to the equation.
By substituting the second option (-3, 12) into the equation:
12 = 5(-3) - 3
12 = -15 - 3
12 = -18
This is not true, so (-3, 12) is not a solution to the equation.
By substituting the third option (-2, -13) into the equation:
-13 = 5(-2) - 3
-13 = -10 - 3
-13 = -13
This is true, so (-2, -13) is a solution to the equation.
By substituting the fourth option (4, 23) into the equation:
23 = 5(4) - 3
23 = 20 - 3
23 = 17
This is not true, so (4, 23) is not a solution to the equation.
Therefore, the correct solution to the equation y = 5x - 3 is (-2, -13).
2) To determine the equation that represents the pattern in the table, we need to find the relationship between Noah's ages (n) and Sarah's ages (s).
Looking at the table, we can observe that Noah's ages are increasing by 3 each time, while Sarah's ages are increasing by 3 as well. Therefore, the relationship between n and s is:
n = s - 6
Hence, the equation that represents the pattern in the table is n = s - 6.
3) The equation that matches the statement "The sum of -7x and 3 is 9" is:
-7x + 3 = 9
Therefore, the equation is -7x + 3 = 9.
4) To solve the equation x - 4 = -13, we need to isolate the variable x.
Adding 4 to both sides of the equation:
x - 4 + 4 = -13 + 4
x = -9
Therefore, the solution to the equation x - 4 = -13 is x = -9.
5) To solve the equation 3x + 5 = 29, we need to isolate the variable x.
Subtracting 5 from both sides of the equation:
3x + 5 - 5 = 29 - 5
3x = 24
Dividing both sides of the equation by 3:
(3x)/3 = 24/3
x = 8
Therefore, the solution to the equation 3x + 5 = 29 is x = 8.
6) To solve the equation 14x = 16, we need to isolate the variable x.
Dividing both sides of the equation by 14:
(14x)/14 = 16/14
x = 16/14
x = 8/7
Therefore, the solution to the equation 14x = 16 is x = 8/7.
7) To solve the equation 4x + 5 = 33, we need to isolate the variable x.
Subtracting 5 from both sides of the equation:
4x + 5 - 5 = 33 - 5
4x = 28
Dividing both sides of the equation by 4:
(4x)/4 = 28/4
x = 7
Therefore, the solution to the equation 4x + 5 = 33 is x = 7.
8) To solve the equation 43x - 2 = 18, we need to isolate the variable x.
Adding 2 to both sides of the equation:
43x - 2 + 2 = 18 + 2
43x = 20
Dividing both sides of the equation by 43:
(43x)/43 = 20/43
x = 20/43
Therefore, the solution to the equation 43x - 2 = 18 is x = 20/43.
9) The equation 2.85 + 0.40s = c gives the cost c in dollars that a website charges for downloading songs, where s stands for the number of songs downloaded.
To find the cost of downloading 36 songs, we can substitute s = 36 into the equation:
2.85 + 0.40(36) = c
2.85 + 14.4 = c
17.25 = c
Therefore, the cost of downloading 36 songs is c = $17.25.
10) Let t represent the number of t-shirts that can be bought.
The cost of each t-shirt is $12, and there is a $5 coupon available. The total amount of money available to spend is $43.
The equation to represent the problem is:
12t - 5 = 43
To solve this equation:
Adding 5 to both sides of the equation:
12t - 5 + 5 = 43 + 5
12t = 48
Dividing both sides of the equation by 12:
(12t)/12 = 48/12
t = 4
Therefore, you can buy 4 t-shirts using your coupon and money.