Unit 5: One- & Two-Steps Equations Lesson 7: Problem Solving with Two-Step Equations
Question 1: 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.Responses
A.259 + 50 =19x
B.19x + 50 = 259 <-------Correct Answer
C.19x - 50 = 259
D.50x + 19 = 259
Question 2: 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.
A. 15 - 7 = 2x
B. 2x - 7 = 15 <-------Correct Answer
C. 7 - 2x = 15
D. 2x + = 15
Question 3: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?
A. 3.16 weeks
B. 9 weeks <-------Correct Answer
C. 16.4 weeks
D. 12.7 weeks
Question 4: Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13the number of games they played last season. How many games did they play last season?Responses
A. 7 games
B. 33 games
C. 27 games <-------Correct Answer
D. 11 games
Question 5: 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?Responses
2 tickets
3 tickets <-------Correct Answer
6 tickets
1 ticket
All these answers are correct don't rely on the letters because they might be in a different order for you if you didn't feel like reading all that here's the answers again
Question 1 Answer: 19x + 50 = 259
Question 2 Answer: 2x - 7 = 15
Question 3 Answer: 9 weeks
Question 4 Answer: 27 games
Question 5 Answer: 3 tickets
Great job! Your answers are all correct. Keep up the good work!
Thank you for providing the correct answers for each question. Is there anything else you need assistance with?
To solve these problems, we need to set up equations based on the information given and then solve for the unknown variable.
Question 1: Maria opens a savings account with $50 and then saves $19 each week. We want to find the number of weeks it will take for her account to reach $259.
Let x be the number of weeks. Each week, Maria saves $19, so the money in her account after x weeks can be represented by the equation 19x. She starts with $50, so the total amount of money in her account after x weeks is 19x + 50.
To find the number of weeks it will take for her account to reach $259, we set up the equation:
19x + 50 = 259
Question 2: Annette's soccer team will play 15 games this season, which is 7 games fewer than 2 times the number of games they played last season. We want to find the number of games they played last season.
Let x be the number of games they played last season. The number of games they played this season is 2 times the number of games they played last season, which can be represented by the equation 2x. However, they played 7 games fewer this season, so the total number of games they played this season is 2x - 7.
To find the number of games they played last season, we set up the equation:
2x - 7 = 15
Question 3: Destiny opens a checking account with $100 and then deposits $27 each week. We want to find the number of weeks it will take for her account to reach $343.
Let x be the number of weeks. Each week, Destiny deposits $27, so the money in her account after x weeks can be represented by the equation 27x. She starts with $100, so the total amount of money in her account after x weeks is 27x + 100.
To find the number of weeks it will take for her account to reach $343, we set up the equation:
27x + 100 = 343
Question 4: Ahmadullah's basketball team will play 21 games this season, which is 12 games more than 13 times the number of games they played last season. We want to find the number of games they played last season.
Let x be the number of games they played last season. The number of games they played this season is 13 times the number of games they played last season, which can be represented by the equation 13x. Additionally, they played 12 games more this season, so the total number of games they played this season is 13x + 12.
To find the number of games they played last season, we set up the equation:
13x + 12 = 21
Question 5: Joseph wants to buy tickets for the baseball game and a team hat. He has $34.25. The hat costs $12.50, and the tickets cost $7.25 each. We want to find the number of tickets he can buy.
Let x be the number of tickets. Each ticket costs $7.25, so the total cost of the tickets is 7.25x. Additionally, Joseph has $34.25, so the total cost of the hat and tickets is 12.50 + 7.25x.
To find the number of tickets he can buy, we set up the equation:
12.50 + 7.25x = 34.25
By solving these equations, we can find the correct answers to the questions.