1 of 101 of 10 Items

Question

Question
Multiple Choice
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)

Answer 1

The correct answer is (4, 1).

Answer 2

2 of 102 of 10 Items

Question
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

Answer 3

The equation that represents the pattern in the table is c = s + 4.

Answer 4

3 of 103 of 10 Items

Question
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

Answer 5

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

Answer 6

4 of 104 of 10 Items

Question
Solve. x – 6 = –18
(1 point)
Responses

x = –24
x = –24

x = –12
x = –12

x = 12
x = 12

x = 6
x = 6

Answer 7

To solve the equation x - 6 = -18, you can add 6 to both sides of the equation:

x - 6 + 6 = -18 + 6

This simplifies to:

x = -12

Therefore, the correct solution is x = -12.

Answer 8

5 of 105 of 10 Items

Question
Solve. 4x + 3 = 47
(1 point)
Responses

x = 11
x = 11

x = 40
x = 40

x = 44
x = 44

x = 50
x = 50

Answer 9

To solve the equation 4x + 3 = 47, you can subtract 3 from both sides of the equation:

4x + 3 - 3 = 47 - 3

This simplifies to:

4x = 44

Then, divide both sides of the equation by 4:

x = 44/4

This simplifies to:

x = 11

Therefore, the correct solution is x = 11.

Answer 10

6 of 106 of 10 Items

Question
Solve. one-thirdx = 12
(1 point)
Responses

x = 4
x = 4

x = 15
x = 15

x = 36
x = 36

x = 39

Answer 11

To solve the equation one-thirdx = 12, you can multiply both sides of the equation by 3 to eliminate the fraction:

3 * (one-thirdx) = 3 * 12

This simplifies to:

x = 36

Therefore, the correct solution is x = 36.

Answer 12

7 of 107 of 10 Items

Question
Solve. 3x + 3 = 21
(1 point)
Responses

x = 5
x = 5

x = 6
x = 6

x = 18
x = 18

x = 36

Answer 13

To solve the equation 3x + 3 = 21, you can subtract 3 from both sides of the equation:

3x + 3 - 3 = 21 - 3

This simplifies to:

3x = 18

Then, divide both sides of the equation by 3:

x = 18/3

This simplifies to:

x = 6

Therefore, the correct solution is x = 6.

Answer 14

8 of 108 of 10 Items

Question
Solve. three-halvesx – 4 = 16
(1 point)
Responses

x = 20
x = 20

x = 13one-third
x = 13 Image with alt text: one-third

x = 15one-third
x = 15 Image with alt text: one-third

30
30

Answer 15

To solve the equation three-halvesx - 4 = 16, you can add 4 to both sides of the equation:

three-halvesx - 4 + 4 = 16 + 4

This simplifies to:

three-halvesx = 20

Then, multiply both sides of the equation by the reciprocal of three-halves, which is 2/3:

(three-halvesx) * (2/3) = 20 * (2/3)

This simplifies to:

x = 40/3

Therefore, the correct solution is x = 40/3 or x ≈ 13.33.

Answer 16

9 of 109 of 10 Items

Question
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)
Responses

c = $9.95
c = $9.95

c = $20.45
c = $20.45

c = $35.00
c = $35.00

c = $114.45

Answer 17

To find the cost of downloading 35 songs using the equation 9.95 + 0.30s = c, we substitute s = 35 into the equation:

9.95 + 0.30(35) = c

This simplifies to:

9.95 + 10.50 = c

Now, we can add the numbers on the left side of the equation:

20.45 = c

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

The correct response is c = $20.45.

Answer 18

10 of 1010 of 10 Items

Question
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)
Responses

1 shirt
1 shirt

2 shirts
2 shirts

3 shirts
3 shirts

4 shirts
4 shirts

Answer 19

Let's define the variable 'x' as the number of t-shirts.

We know that each t-shirt costs $11 and we have a coupon for $6 off. Therefore, the cost of each t-shirt after the coupon is $11 - $6 = $5.

We also have $27 to spend. To find how many t-shirts we can buy, we need to divide the total amount we can spend ($27) by the cost of each t-shirt ($5):

x * $5 = $27

Dividing both sides of the equation by $5:

x = $27 / $5

x = 5.4

Since we can't buy fractional t-shirts, the maximum number of t-shirts we can buy is 5.

The correct response is 4 shirts.