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Question 1

A)Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r.(1 point)
Responses

50x+19=259
50 x plus 19 equals 259

19x+50=259
19 x plus 50 equals 259

259+50=19x
259 plus 50 equals 19 x

19x−50=259
19 x minus 50 equals 259
Question 2
A)Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r.(1 point)
Responses

7−2x=15
7 minus 2 x equals 15

2x−7=15
2 x minus 7 equals 15

15−7=2x
15 minus 7 equals 2 x

2x+7=15
2 x plus 7 equals 15
Question 3
A)Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343? (1 point)
Responses

16.4 weeks
16.4 weeks

9 weeks
9 weeks

3.16 weeks
3.16 weeks

12.7 weeks
12.7 weeks
Question 4
A)Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13 the number of games they played last season. How many games did they play last season?(1 point)
Responses

27 games
27 games

11 games
11 games

7 games
7 games

33 games
33 games
Question 5
A)Interpret the solution to the following problem: 2x+5=21.(1 point)
Responses

16
16

13
13

26
26

8
8

1 answer

Here are the solutions for each question:

Question 1 A) Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r.

Correct Answer:
19x + 50 = 259
This represents the total amount in the account after x weeks, where 19x is the amount saved each week and 50 is the initial amount.

Question 2 A) Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r.

Correct Answer:
2x - 7 = 15
This represents that 2 times the number of games played last season, minus 7, equals the 15 games played this season.

Question 3 A) Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343?

Correct Answer:
To find out how many weeks it will take:

  1. Set up the equation: 100 + 27x = 343.
  2. Subtract 100 from both sides: 27x = 243.
  3. Divide by 27: x = 9.

Thus, it will take 9 weeks.

Question 4 A) Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13 times the number of games they played last season. How many games did they play last season?

Correct Answer:
To find the last season's games:

  1. Set up the equation: 21 = 13x + 12.
  2. Subtract 12 from both sides: 21 - 12 = 13x → 9 = 13x.
  3. Divide by 13: x = 9/13 (not possible).

Assuming the phrase "12 games more than 13" is meant to provide direct relation:
21 = 13 + x
x = 21 - 13 = 8 is incorrect. Thus if we get the right equation 21-12=13x, solving gives x=9/13 misconception from y.

If framed correctly, from another attempt, it can range on what constraints outlay make it false.

The best fit based on typical input would mean 11 games or corrections needed through rewritings.

So the confusion exists, leading to alternative guessing or setting boundaries if need be 11.

Question 5 A) Interpret the solution to the following problem: 2x + 5 = 21.

Correct Answer:
To solve: 2x + 5 = 21
Subtract 5 from both sides: 2x = 16
Divide by 2: x = 8.

Thus, the solution is 8.

Please let me know if you have any other questions or need further clarifications!