Question

A)

Multiple Choice
Which of the following is a solution to the equation y = 3x – 1?
(1 point)
(4, 1)
(2, 5)
(4, 3)
(0, –3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The solution to the equation y = 3x - 1 is found by substituting values of x and solving for y.

Let's check each option:

For option (4, 1):
y = 3(4) - 1 = 12 - 1 = 11.
This does not satisfy the equation since 11 is not equal to 1.

For option (2, 5):
y = 3(2) - 1 = 6 - 1 = 5.
This satisfies the equation, so it is a solution.

For option (4, 3):
y = 3(4) - 1 = 12 - 1 = 11.
This does not satisfy the equation since 11 is not equal to 3.

For option (0, -3):
y = 3(0) - 1 = 0 - 1 = -1.
This does not satisfy the equation since -1 is not equal to -3.

Thus, the solution to the equation y = 3x - 1 is (2, 5).

Answer 2

A)

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)
s = c + 4
s = 4c
c = s + 4
c = 4s

Answer 3

[AI-generated answer — Bot GPT 3.5]

To determine the relationship between Sal's and Carrie's ages, we can observe the pattern in the table.

If we compare Sal's age to Carrie's age, we notice that Carrie's age is always 4 more than Sal's age.

So, the equation that represents the pattern in the table is:

c = s + 4

Therefore, the correct answer is c = s + 4.

Answer 4

A)

Which equation matches the statement: “The sum of –4x and 2 is 9”?
(1 point)
–4x + 2 = 9
–4x + 9 = 2
–4x(2) = 9
–4x – 2 = 9

Answer 5

[AI-generated answer — Bot GPT 3.5]

The equation that matches the statement "The sum of -4x and 2 is 9" is:

-4x + 2 = 9

Therefore, the correct answer is -4x + 2 = 9.

Answer 6

A)

Solve. x – 6 = –18
(1 point)
x = –24
x = –12
x = 12
x = 6

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the equation x - 6 = -18, we want to isolate the variable x on one side of the equation.

To do this, we can add 6 to both sides of the equation:

x - 6 + 6 = -18 + 6

This simplifies to:

x = -12

Therefore, the solution to the equation x - 6 = -18 is x = -12.

So, the correct answer is x = -12.

Answer 8

A)

Solve. 4x + 3 = 47
(1 point)
x = 11
x = 40
x = 44
x = 50

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the equation 4x + 3 = 47, we want to isolate the variable x on one side of the equation.

To do this, we can subtract 3 from both sides of the equation:

4x + 3 - 3 = 47 - 3

This simplifies to:

4x = 44

Next, we divide both sides of the equation by 4:

4x/4 = 44/4

This simplifies to:

x = 11

Therefore, the solution to the equation 4x + 3 = 47 is x = 11.

So, the correct answer is x = 11.

Answer 10

A)

Solve. x = 12
(1 point)
x = 4
x = 15
x = 36
x = 39

Answer 11

[AI-generated answer — Bot GPT 3.5]

If x = 12, then x is equal to 12.

Therefore, the solution to the equation x = 12 is x = 12.

So, the correct answer is x = 12.

Answer 12

A)

Solve.1/3 x = 12
(1 point)
x = 4
x = 15
x = 36
x = 39

Answer 13

[AI-generated answer — Bot GPT 3.5]

To solve the equation 1/3x = 12, we want to isolate the variable x on one side of the equation.

To do this, we can multiply both sides of the equation by 3:

(1/3)x * 3 = 12 * 3

This simplifies to:

x = 36

Therefore, the solution to the equation 1/3x = 12 is x = 36.

So, the correct answer is x = 36.

Answer 14

A)

Solve. 3x + 3 = 21
(1 point)
x = 5
x = 6
x = 18
x = 36

Answer 15

[AI-generated answer — Bot GPT 3.5]

To solve the equation 3x + 3 = 21, we want to isolate the variable x on one side of the equation.

To do this, we can subtract 3 from both sides of the equation:

3x + 3 - 3 = 21 - 3

This simplifies to:

3x = 18

Next, we divide both sides of the equation by 3:

3x/3 = 18/3

This simplifies to:

x = 6

Therefore, the solution to the equation 3x + 3 = 21 is x = 6.

So, the correct answer is x = 6.

Answer 16

A)

Solve. 3/2x – 4 = 16
(1 point)
x = 20
x = 13 1/3
x = 15 1/3
30

Answer 17

[AI-generated answer — Bot GPT 3.5]

To solve the equation 3/2x - 4 = 16, we want to isolate the variable x on one side of the equation.

First, we can add 4 to both sides of the equation:
3/2x - 4 + 4 = 16 + 4

This simplifies to:
3/2x = 20

Next, we can multiply both sides of the equation by 2/3 to get rid of the fraction:
(2/3)(3/2x) = (2/3)(20)

This simplifies to:
1x = 40/3

To express the solution as a mixed number, we can divide 40 by 3 and write it as a mixed number:
1x = 13 1/3

Therefore, the solution to the equation 3/2x - 4 = 16 is x = 13 1/3.

So, the correct answer is x = 13 1/3.

Answer 18

A)

Use the given equation to find the solution to the following problem.
The equation 9.95 + 0.30s = 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 35 songs.
(1 point)
c = $9.95
c = $20.45
c = $35.00
c = $114.45

Answer 19

[AI-generated answer — Bot GPT 3.5]

To find the cost of downloading 35 songs, we can plug in s = 35 into the equation and solve for c.

9.95 + 0.30s = c

Replacing s with 35:

9.95 + 0.30(35) = c

9.95 + 10.5 = c

20.45 = c

Therefore, the cost of downloading 35 songs is c = $20.45.

So, the correct answer is c = $20.45.

Answer 20

A)

Write an equation and solve to find the solution to the following problem.
You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your
coupon and money?
(1 point)
1 shirt
2 shirts
3 shirts
4 shirts

Answer 21

[AI-generated answer — Bot GPT 3.5]

Let's assume the number of t-shirts you can buy is represented by the variable "x."

The cost of each t-shirt is $11, and you have a coupon for $6 off. This means you would need to spend $11 - $6 = $5 for each t-shirt.

The total amount of money you have to spend is $27, so we can set up the equation:

5x = 27

To solve this equation for x, we divide both sides by 5:

x = 27 / 5

x ≈ 5.4

Since you cannot buy a fraction of a t-shirt, you can only buy whole t-shirts. Therefore, you can buy 5 t-shirts.

So, the correct answer is 5 shirts.

Answer 22

that not an answer

Answer 23

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Let's correct the answer.

To find the number of t-shirts you can buy, we need to consider the money you have, the coupon, and the cost of each t-shirt.

You have $27 and a coupon for $6 off. This means that you effectively have $27 + $6 = $33 to spend on t-shirts.

Assuming each t-shirt costs $11, we can set up the equation:

11x ≤ 33

To find the maximum number of t-shirts (x), we can divide both sides of the inequality by 11:

x ≤ 33 / 11

x ≤ 3

Therefore, you can buy a maximum of 3 t-shirts with your money and coupon.

So, the correct answer is 3 shirts.