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Introduction
Review of Grades 5–6
1
Review of Grades 5–6 topics
Lessons 1
Chapter I
Algebraic expressions
2
Numerical expressions
Lessons 2
3
Algebraic expressions
Lessons 3
4
Algebraic equalities and formulas
Lessons 4
5
Properties of arithmetic operations
Lessons 5
6
Rules for removing brackets. Chapter I review
Lessons 6–7
Chapter II
First-degree equations in one unknown
7
Equations and their solutions
Lessons 8
8
Solving first-degree equations in one unknown
Lessons 9
9
Solving word problems with equations. Chapter II review
Lessons 10–11
Chapter III
Monomials and polynomials
10
Powers with a natural exponent
Lessons 12
11
Properties of powers with a natural exponent
Lessons 13
12
The monomial and its standard form
Lessons 14
13
Multiplying monomials
Lessons 15
14
Polynomials
Lessons 16
15
Combining like terms
Lessons 17
16
Adding and subtracting polynomials
Lessons 18
17
Multiplying a polynomial by a monomial
Lessons 19
18
Multiplying a polynomial by a polynomial
Lessons 20
19
Dividing by a monomial. Chapter III review
Lessons 21–22
Chapter IV
Factoring polynomials
20
Taking the common factor out of brackets
Lessons 23
21
The grouping method
Lessons 24
22
Square of a sum. Square of a difference
Lessons 25
23
The difference of squares formula
Lessons 26
24
Combining several methods of factorization
Lessons 27
25
Chapter IV review
Lessons 28
Chapter V
Algebraic fractions
26
Algebraic fractions. Reducing fractions
Lessons 29
27
Bringing fractions to a common denominator
Lessons 30
28
Adding and subtracting algebraic fractions
Lessons 31
29
Multiplying and dividing algebraic fractions
Lessons 32
30
Combined operations with algebraic fractions
Lessons 33
31
Chapter V review
Lessons 34
Chapter VI
Elements of combinatorics and final review
32
The basic rule of combinatorics
Lessons 35
33
Permutations and combinations
Lessons 36
34
Chapter VI review. Review of the Grade 7 algebra course
Lessons 37–38
☰ Contents · Algebra
Grade 7
›
Algebra
›
Week 21
The grouping method
Lessons 24 · 1 lessons · Sh.A. Alimov, O.R. Xolmuhamedov, M.A. Mirzaahmedov. Algebra, Grade 7, revised and expanded 5th edition. O‘qituvchi NMIU, Tashkent, 2017
Lesson 24
Quiz
8
Homework
4
Answers are for parents and teachers.
Show all answers
1
Factor mx + my + nx + ny.
Answer
(x + y)(m + n)
2
Factor a² - ab + 2a - 2b.
Answer
(a - b)(a + 2)
3
Factor 3x - 3y + ax - ay.
Answer
(x - y)(3 + a)
4
Compute 6 · 5 + 6 · 2 + 3 · 5 + 3 · 2 by grouping.
Answer
63
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Week 21 · Quiz
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Week 22 · Lesson 25: Square of a sum. Square of a difference
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