Question

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

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 c = 4 s

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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 9

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

Answer 10

To check if a point is a solution to an equation, we substitute the values of x and y from the point into the equation and see if they make the equation true.

Let's check each option:

1. (4, 1)
Plugging x = 4 and y = 1 into the equation y = 3x - 1, we get:
1 = 3(4) - 1
1 = 12 - 1
1 = 11
This equation is not true, so (4, 1) is not a solution.

2. (2, 5)
Plugging x = 2 and y = 5 into the equation y = 3x - 1, we get:
5 = 3(2) - 1
5 = 6 - 1
5 = 5
This equation is true, so (2, 5) is a solution.

3. (4, 3)
Plugging x = 4 and y = 3 into the equation y = 3x - 1, we get:
3 = 3(4) - 1
3 = 12 - 1
3 = 11
This equation is not true, so (4, 3) is not a solution.

4. (0, -3)
Plugging x = 0 and y = -3 into the equation y = 3x - 1, we get:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1
This equation is not true, so (0, -3) is not a solution.

From the four options, the only solution to the equation is (2, 5).

Answer 11

To find the equation that represents the pattern in the table, we can look for a relationship between Sal's and Carrie's ages.

From the table, we can see that Sal's age is always 4 years less than Carrie's age.

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

Answer 12

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

-4x + 2 = 9.

Answer 13

To solve the equation x - 6 = -18, we can start by isolating x on one side of the equation.

Adding 6 to both sides, we have:
x - 6 + 6 = -18 + 6
x = -12

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

Answer 14

To solve the equation 4x + 3 = 47, we can isolate x by performing inverse operations.

Subtracting 3 from both sides:
4x + 3 - 3 = 47 - 3
4x = 44

Dividing both sides by 4:
4x/4 = 44/4
x = 11

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

Answer 15

The solution to the equation x = 12 is x = 12.

Therefore, the correct response is x = 12.

Answer 16

To solve the equation 1/3x = 12, we can multiply both sides of the equation by 3 to isolate x.

(1/3)x = 12
(1/3)(3)x = 12(3)
x = 36

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

The correct response is x = 36.

Answer 17

To solve the equation 3x + 3 = 21, we can begin by isolating x.

Subtracting 3 from both sides, we get:
3x + 3 - 3 = 21 - 3
3x = 18

Dividing both sides by 3, we have:
(3x)/3 = 18/3
x = 6

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

The correct response is x = 6.

Answer 18

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

9.95 + 0.30(35) = c
9.95 + 10.50 = c
20.45 = c

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

The correct response is c = $20.45.

Answer 19

To calculate how many t-shirts you can buy, you need to subtract the coupon's amount from your total spending money and then divide that result by the cost of each t-shirt.

Total spending money after the coupon: $27 - $6 = $21

Cost of each t-shirt: $11

Number of t-shirts you can buy: $21 / $11 = 1.9091 (approximately)

Since you cannot buy a fraction of a t-shirt, you can buy 1 t-shirt.

The correct response is 1 shirt.