Guidance for exercises 1-11 of Chapter VII: Mytour will provide solutions in the Grade 7 Math Page 42 Workbook Volume 2, Chân Trời Sáng Tạo Book. Students can cross-check their answers or refer to gain insights into the solutions.
Other valuable Math resources:
- Solving Grade 7 Math Chân trời sáng tạo Book
- Solving Grade 7 Math Page 67 Workbook Volume 2 Cánh Diều Book - Exercise 5. Polynomial Division with one variable
- Solving Grade 7 Math Page 43 Workbook Volume 2 Kết Nối Tri Thức Book - Exercise 28: Polynomial Division with one variable
Solving Grade 7 Math Page 42 Workbook Volume 2, Chân Trời Sáng Tạo Book
Chapter VII End-of-chapter Exercises
1. Solve Exercise 1 Page 42 Math Textbook Grade 7
2. Solve Exercise 2 Page 42 Math Textbook Grade 7
Problem: Among the following expressions, which one is a single-variable monomial?
Solution Guide:
A single-variable monomial is an algebraic expression containing only a number, a variable, or a product of numbers and that variable.
Answer:
Expressions a, c, and d are single-variable monomials.
Expression b is not a single-variable monomial.
3. Solve Exercise 3 Page 42 Math Grade 7
Problem: Among the given expressions, which one is a single-variable polynomial?
Solution Guide:
A single-variable polynomial is the sum of single-variable monomials.
A single-variable monomial is also a single-variable polynomial.
Answer:
4. Solve Exercise 4 Page 42 Math Grade 7
Compose a cubic single-variable polynomial with 3 terms.
Guidance:
Construct a polynomial with a non-zero coefficient for the cubic term and ensure it has 3 terms.
Answer:
Explore Exercise 5 on Page 42 of Grade 7 Math Workbook.
Problem: Determine the degree of the given polynomials.
Guidance:
The degree of a single-variable polynomial (different from a zero polynomial, which is expressed as the simplified polynomial) is the highest exponent of the variable in that polynomial.
Solution:
6. Solve Exercise 6 Page 42 Math Grade 7
Problem: Given the polynomial P(x) = x3 + 27. Find the roots of P(x) in the set {0; 3; -3}.
Guidance:
If the polynomial P(x) equals 0 at x = a, then we say a (or x = a) is a root of the polynomial.
Solution:
7. Solve Exercise 7 Page 42 Math Grade 7
Problem: The triangle in Figure 1 has a perimeter of (25y - 8) cm. Find the unknown side length in that triangle.
Solution:
To find the unknown side length of the triangle, subtract the sum of the other two sides from the perimeter.
Answer:
The unknown side length of the triangle is:
(25y - 8) - (5y + 3) - (7y - 4) = 13y - 7.
The remaining side of the triangle is:
8. Solve Exercise 8 Page 42 Math Grade 7
9. Solve Exercise 9 Page 42 Math Grade 7
Exercise: Perform multiplication.
Guide:
To multiply a polynomial with another polynomial, multiply each term of one polynomial by each term of the other polynomial, and then add the products.
Answer:
10. Solving Exercise 10 on Page 42 of Math Textbook Grade 7
Problem: Perform the division operation.
Solution:
To divide a polynomial with one variable A by a polynomial with one variable B≠0, first arrange these polynomials in decreasing order of the same variable's exponents and perform the division similar to dividing natural numbers.
Answer:
11. Solve Exercise 11 on Page 42 of Math Textbook Grade 7
Problem: Perform the division operation.
Solution:
To divide a polynomial with one variable A by a polynomial with one variable B≠0, first arrange these polynomials in decreasing order of the same variable's exponents and perform the division similar to dividing natural numbers.
Answer:
Here is the guide to solving math problems for grade 7, page 42, volume 2. Students can refer to the solutions for exercises on pages 46, 47, and 57, 58, volume 2. Also, review the solution for exercise on page 40, volume 2, to reinforce the knowledge.
- Solution for math grade 7, pages 46, 47, volume 2, Chân Trời Sáng Tạo book - Exercise 1: Angles and sides of a triangle
- Solution for math grade 7, pages 57, 58, volume 2, Chân Trời Sáng Tạo book - Exercise 2: Congruent triangles
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