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Review
Grade 7 course
1
Review of the Grade 7 course
Lessons 1
Chapter I
Algebraic fractions and operations with them
2
Algebraic expressions
Lessons 2
3
Algebraic fractions. Reducing fractions
Lessons 3
4
Bringing fractions to a common denominator
Lessons 4
5
Adding and subtracting algebraic fractions
Lessons 5
6
Multiplying and dividing algebraic fractions
Lessons 6
7
Identity transformations of fractional rational expressions
Lessons 7
8
The function y = k/x: properties and graph
Lessons 8
9
Arithmetic roots of powers with a natural exponent
Lessons 9
10
Powers with a rational exponent and their properties
Lessons 10
11
Simplifying expressions with rational exponents
Lessons 11
Chapter II
Inequalities
12
Numerical inequalities
Lessons 12
13
Basic properties of numerical inequalities
Lessons 13
14
Adding and multiplying inequalities
Lessons 14
15
Raising numerical inequalities to a power
Lessons 15
16
Inequalities with one unknown
Lessons 16
17
Systems of inequalities. Numerical intervals
Lessons 17
18
The modulus of a number. Equations and inequalities with a modulus
Lessons 18
19
Approximate calculations. Approximation error
Lessons 19
20
Estimating the error
Lessons 20
21
Rounding numbers. Relative error
Lessons 21–22
Chapter III
Quadratic equations
22
The quadratic equation and its roots
Lessons 23
23
Incomplete quadratic equations and how to solve them
Lessons 24
24
Formulas for the roots of a quadratic equation. The discriminant
Lessons 25
25
Vieta’s theorem. Factoring a quadratic trinomial
Lessons 26
26
The biquadratic equation. Equations reducible to quadratic ones
Lessons 27
27
Solving word problems with quadratic equations
Lessons 28
Chapter IV
Data analysis
28
Data analysis. Presenting data
Lessons 29
29
Mean, mode and median
Lessons 30
30
Solving combinatorial problems by listing choices
Lessons 31
31
The basic rule of combinatorics
Lessons 32
Chapter V
Review of the Grade 8 course
32
Review of the Grade 8 course
Lessons 33
☰ Contents · Algebra
Grade 8
›
Algebra
›
Week 16
Inequalities with one unknown
Lessons 16 · 1 lessons · Sh.A. Alimov, A.R. Xalmukhamedov, M.A. Mirzaakhmedov. Algebra: textbook for Grade 8 of general secondary schools. Revised 4th edition. Tashkent: “O‘qituvchi”, 2019
Lesson 16
Quiz
8
Homework
5
Answers are for parents and teachers.
Show all answers
1
Solve 5x + 3 < 2x - 6.
Answer
x < -3
2
Solve 3(x + 2) ≥ 5x - 4.
Answer
x ≤ 5
3
Solve (x - 1)/3 > 2.
Answer
x > 7
4
Solve 2 - 4x ≤ 10.
Answer
x ≥ -2
5
Find the natural solutions of 6 - 3x > 0.
Answer
x = 1
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Week 16 · Quiz
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Week 17 · Lesson 17: Systems of inequalities with one unknown. Numerical intervals
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