Solving 7th-grade Mathematics Page 45, Book 2: Connecting Knowledge to Life not only provides solution guides but also offers solutions for exercises 7.36 through 7.41 in the Concentrated Practice section of the Textbook. With detailed, scientific explanations, students will easily visualize and understand the methods.
Excellent Mathematics Resources for 7th Grade:
- Solving 7th-grade Mathematics Book: Connecting Knowledge to Life
- Solving Mathematics Page 68, 69, Book 2: Kite - Exercises at the end of Chapter 6
- Solving 7th-grade Mathematics Page 42, Book 2: Horizon of Creativity - Exercises at the end of Chapter 7
Solving 7th-grade Mathematics Page 45, Book 2: Connecting Knowledge to Life
Concentrated Practice
1. Solving Exercise 7.36 Page 45 Mathematics Textbook Grade 7
Problem Statement: Simplify the following expression:
Solution Guide:
Perform polynomial division, multiply monomials with polynomials, and then simplify the resulting polynomials.
Answers:
We have:
2. Solving Exercise 7.37 Page 45 Mathematics Textbook Grade 7
Problem Statement: Simplify the following expressions:
Instructions:
To multiply a monomial by a polynomial, multiply the monomial by each term of the polynomial and then add the products together.
Answers:
3. Solving Exercise 7.38 Page 45 Mathematics Textbook Grade 7
Problem Statement: Find the value of x, given that:
Instructions:
Simplify the polynomials on the left side and then find x.
Answers:
4. Solving Exercise 7.39 Page 45 Mathematics Textbook Grade 7
Problem Statement: Perform the following calculations:
Solution Guide:
Answers:
a)
5. Solving Exercise 7.40 Page 45 Mathematics Textbook Grade 7
Problem Statement: In a math club game, the host writes down the expression on the board:
The rule is that after the host reads a certain number a, the teams must calculate the value of P(x) at x = a. The team that calculates correctly and fastest wins.
When the host announced a = 5, Square immediately calculated P(a) = 15 and won the game. Do you know how Square did it?
Solution Guide:
Simplify polynomial P(x) and then substitute a = 5 into the simplified polynomial.
Answer:
Therefore, when the host announced a = 5, Square only needed to substitute a = 5 into the expression P(x) = 3x to easily calculate: P(3) = 3.5 = 15.
6. Solving Exercise 7.41 Page 45 Mathematics Textbook Grade 7
Answer:
Here is the guide to solving 7th-grade Mathematics Page 45 Exercise 2, students should refer to solving 7th-grade Mathematics Page 46 Exercise 2 and review solving 7th-grade Mathematics Page 43 Exercise 2 to consolidate their knowledge.
- Solving 7th-grade Mathematics Page 46 Exercise 2 Book: Connecting Knowledge to Life - Exercises at the end of Chapter 7
- Solving 7th-grade Mathematics Page 43 Exercise 2 Book: Connecting Knowledge to Life - Exercise 28: Polynomial Division