Which of the following is a solution to the equation y = 3x – 1?
(1 point)
Responses
(4, 1)
(4, 1)
(2, 5)
(2, 5)
(4, 3)
(4, 3)
(0, –3)
(0, –3)
(4, 3) is a solution to the equation y = 3x – 1.
Which equation represents the pattern in the table below?
Sal’s and Carrie’s Ages
Sal
3
5
8
13
15
Carrie
7
9
12
17
19
(1 point)
Responses
s = c + 4
s = c + 4
s = 4c
s = 4 c
c = s + 4
c = s + 4
c = 4s
The equation that represents the pattern in the table is c = s + 4.
Which equation matches the statement: “The sum of –4x and 2 is 9”?
(1 point)
Responses
–4x + 2 = 9
–4 x + 2 = 9
–4x + 9 = 2
–4 x + 9 = 2
–4x(2) = 9
–4 x (2) = 9
–4x – 2 = 9
–4 x – 2 = 9
The equation that matches the statement "The sum of –4x and 2 is 9" is -4x + 2 = 9.
Solve. x – 6 = –18
(1 point)
Responses
x = –24
x = –24
x = –12
x = –12
x = 12
x = 12
x = 6
To solve the equation x - 6 = -18, we can add 6 to both sides of the equation to isolate the variable x:
x - 6 + 6 = -18 + 6
x = -12
Thus, the solution to the equation is x = -12.
Solve. 4x + 3 = 47
(1 point)
Responses
x = 11
x = 11
x = 40
x = 40
x = 44
x = 44
x = 50
To solve the equation 4x + 3 = 47, we can start by subtracting 3 from both sides:
4x + 3 - 3 = 47 - 3
4x = 44
Next, we divide both sides by 4 to isolate the variable x:
4x/4 = 44/4
x = 11
Therefore, the solution to the equation is x = 11.
Solve. one-thirdx = 12
(1 point)
Responses
x = 4
x = 4
x = 15
x = 15
x = 36
x = 36
x = 39
To solve the equation one-third x = 12, we can start by multiplying both sides of the equation by 3 to get rid of the fraction:
(3)(one-third x) = (3)(12)
x = 36
Therefore, the solution to the equation is x = 36.
Solve. 3x + 3 = 21
(1 point)
Responses
x = 5
x = 5
x = 6
x = 6
x = 18
x = 18
x = 36
To solve the equation 3x + 3 = 21, we can begin by subtracting 3 from both sides of the equation:
3x + 3 - 3 = 21 - 3
3x = 18
Next, we divide both sides of the equation by 3 to isolate the variable x:
3x/3 = 18/3
x = 6
Therefore, the solution to the equation is x = 6.