Question 1

Question

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

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

19x−50=259
19 x minus 50 equals 259

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

50x+19=259
50 x plus 19 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

2x+7=15
2 x plus 7 equals 15

2x−7=15
2 x minus 7 equals 15

15−7=2x
15 minus 7 equals 2 x

7−2x=15
7 minus 2 x 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

7 games
7 games

33 games
33 games

11 games
11 games
Question 5
A)Joseph wants to buy tickets for the baseball game and a team hat to wear to the game. He has $34.25. If the hat costs $12.50 and tickets cost $7.25 each, how many tickets can he buy?(1 point)
Responses

6 tickets
6 tickets

2 tickets
2 tickets

1 ticket
1 ticket

3 tickets
3 tickets

Answer 1

Question 1

To find how many weeks it will take for Maria's account to reach $259, we can represent her savings with the equation:

• Initial amount: $50
• Weekly savings: $19
• Target amount: $259

The equation can be formulated as: \[ 19x + 50 = 259 \]

Answer: 19x + 50 = 259

Question 2

To find how many games Annette's team played last season, we are given that 15 games is 7 fewer than twice the number of games played last season (let \( x \) be the number of games last season). The equation can be formulated as: \[ 2x - 7 = 15 \]

Answer: 2x - 7 = 15

Question 3

To find out how many weeks it will take for Destiny's account to reach $343:

• Initial amount: $100
• Weekly deposit: $27
• Target amount: $343

We can set up the equation: \[ 27x + 100 = 343 \] Solving for \( x \): \[ 27x = 343 - 100 \] \[ 27x = 243 \] \[ x = \frac{243}{27} = 9 \]

Answer: 9 weeks

Question 4

To find how many games Ahmadullah's team played last season, we know that they will play 21 games this season, which is 12 more than 13 times the number of games last season (let \( x \) be the number of games last season). The equation can be formulated as: \[ 13x + 12 = 21 \] Solving for \( x \): \[ 13x = 21 - 12 \] \[ 13x = 9 \] \[ x = \frac{9}{13} \] which does not help us find integers. Let's interpret this logically instead.

Using the options given, we can deduce that: \[ 21 = 13x + 12 \] Rearranging gives us \( 13x = 9 \) which suggests less than one whole game which isn't possible so let's consider the 12 we were to start with. Valid values would yield possibly fewer than expected or missing functionalities.

Taking the best proximation from answers: Answer: 11 games (by elimination; expecting inconsistency).

Question 5

To determine how many baseball game tickets Joseph can buy:

• Total money: $34.25
• Cost of hat: $12.50
• Cost of each ticket: $7.25

First, calculate remaining money after buying the hat: \[ 34.25 - 12.50 = 21.75 \]

Now, divide the remaining money by the cost of each ticket: \[ \frac{21.75}{7.25} = 3 \]

Answer: 3 tickets