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Grade 7 Math Workbook 2 Solution: Concentrated Practice
Other good Math 7 study materials:
- Solving Grade 7 Math with Knowledge Connection to Life
- Solving Grade 7 Math Page 69, 70 Workbook 1 with Kite - Chapter 2 review exercises
- Solving Grade 7 Math Page 23 Workbook 2 with Horizon of Creativity - Final exercises in Chapter 6
Grade 7 Math Workbook 2 Solution: Knowledge Connection Book
Concentration Practice
1. Solve Exercise 6.11 Page 10 Math Textbook Grade 7
Problem: Create proportional equations derived from the equation 3x = 4y ().
Solution Guide:
2. Solve Exercise 6.12 Page 10 Math Textbook Grade 7
Problem: Generate all possible proportional equations from four numbers: 5; 10; 25; 50.
Solution Guide:
3. Solve Exercise 6.13 Page 10 Math Textbook Grade 7
4. Solve Exercise 6.14 Page 10 Math Textbook Grade 7
Problem: The ratio of the number of students in classes 7A and 7B is 0.95. How many students are there in each class, knowing that one class has 2 more students than the other?
Solution Guide:
Let the number of students in classes 7A and 7B be x and y respectively (x, y > 0).
Express the given problem data in formulaic form.
Apply the property of equal ratio sequences to find x, y.
Answer:
Let the number of students in classes 7A and 7B be x and y respectively (x, y > 0).
Since one class has 2 more students than the other, y - x = 2.
Applying the property of two equal ratio sequences, we get:
Thus, x = 2.19 = 38; y = 2.20 = 40.
So, class 7A has 38 students, and class 7B has 40 students.
5. Giải Bài 6.15 Trang 10 SGK Toán Lớp 7
Đề bài: Người ta định làm một con đường trong 15 ngày. Một đội công nhân 45 người làm trong 10 ngày mới được một nửa công việc. Hỏi phải bổ sung thêm bao nhiêu người nữa để có thể hoàn thành công việc đúng hạn (biết rằng năng suất lao động của mỗi người là như nhau)?
Hướng dẫn giải:
+ Tính số công nhân cần để hoàn thành con đường trong 15 ngày.
Additional workers needed = Number of workers required to complete the road in 15 days - initial number of workers.
Đáp án:
Because the team of 45 workers completes half of the work in 10 days, they will complete the road in 20 days.
Let x be the number of workers needed to complete the work in 15 days (x > 0).
Since the amount of work remains constant and the productivity of each worker is the same, we have: 15x = 20 * 45.
Therefore, the number of additional workers needed is: 60 - 45 = 15 (people).
6. Solve Exercise 6.16 Page 10 Math Textbook Grade 7
Here is the guide to solving Grade 7 Math Page 10 Workbook 2, students should also refer to solving Grade 7 Math Page 14 Workbook 2 and review solving Grade 7 Math Page 9 Workbook 2 to ensure understanding.
- Solve Grade 7 Math Page 14 Workbook 2 with Knowledge Connection Book - Exercise 22: Directly Proportional Quantities
- Solve Grade 7 Math Page 9 Workbook 2 with Knowledge Connection Book - Exercise 21: Properties of Equal Ratio Sequences
