Grade 8 Algebra: All Lessons, Quizzes and Homework

1

Review of the Grade 7 course

2

Algebraic expressions

3

Algebraic fractions. Reducing fractions

4

Bringing fractions to a common denominator

5

Adding and subtracting algebraic fractions

6

Multiplying and dividing algebraic fractions

7

Identity transformations of fractional rational expressions

8

The function y = k/x: properties and graph

9

Arithmetic roots of powers with a natural exponent

10

Powers with a rational exponent and their properties

11

Simplifying expressions with rational exponents

12

Numerical inequalities

13

Basic properties of numerical inequalities

14

Adding and multiplying inequalities

15

Raising numerical inequalities to a power

16

Inequalities with one unknown

17

Systems of inequalities. Numerical intervals

18

The modulus of a number. Equations and inequalities with a modulus

19

Approximate calculations. Approximation error

20

Estimating the error

21

Rounding numbers. Relative error

22

The quadratic equation and its roots

23

Incomplete quadratic equations and how to solve them

24

Formulas for the roots of a quadratic equation. The discriminant

25

Vieta’s theorem. Factoring a quadratic trinomial

26

The biquadratic equation. Equations reducible to quadratic ones

27

Solving word problems with quadratic equations

28

Data analysis. Presenting data

29

Mean, mode and median

30

Solving combinatorial problems by listing choices

31

The basic rule of combinatorics

32

Algebra · Grade 8

ReviewGrade 7 course

Review of the Grade 7 course

Chapter IAlgebraic fractions and operations with them

Algebraic expressions

Algebraic fractions. Reducing fractions

Bringing fractions to a common denominator

Adding and subtracting algebraic fractions

Multiplying and dividing algebraic fractions

Identity transformations of fractional rational expressions

The function y = k/x: properties and graph

Arithmetic roots of powers with a natural exponent

Powers with a rational exponent and their properties

Simplifying expressions with rational exponents

Chapter IIInequalities

Numerical inequalities

Basic properties of numerical inequalities

Adding and multiplying inequalities

Raising numerical inequalities to a power

Inequalities with one unknown

Systems of inequalities. Numerical intervals

The modulus of a number. Equations and inequalities with a modulus

Approximate calculations. Approximation error

Estimating the error

Rounding numbers. Relative error

Chapter IIIQuadratic equations

The quadratic equation and its roots

Incomplete quadratic equations and how to solve them

Formulas for the roots of a quadratic equation. The discriminant

Vieta’s theorem. Factoring a quadratic trinomial

The biquadratic equation. Equations reducible to quadratic ones

Solving word problems with quadratic equations

Chapter IVData analysis

Data analysis. Presenting data

Mean, mode and median

Solving combinatorial problems by listing choices

The basic rule of combinatorics

Chapter VReview of the Grade 8 course

Review of the Grade 8 course