All 8th grade algebra in an hour. Rules and examples with explanations

Опубликовано: 17 Июнь 2026
на канале: Алгебра с миссис Кроу
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Video lesson on 8th grade algebra. The video provides all the rules for 8th grade algebra with explanations and examples. The video is intended for reviewing the material covered in 8th grade; for those who are preparing for exams and want to refresh their knowledge of 8th grade algebra; for parents helping their child master the material.

This video briefly outlines the rules with examples on the topics:

0:26 Rational fractions.
Integer expressions. Fractional expressions.
Rational expressions. The main property of a rational fraction. The sum and difference of rational fractions. The product and quotient of rational fractions. Raising to a power.

10:42 Square roots.
Arithmetic square root. Equation x ^ 2 = a. Properties of the arithmetic square root. Application of the properties of the arithmetic square root.

17:17 Quadratic equations.
What equation is called quadratic. Reduced quadratic equation. Incomplete quadratic equation. Basic formula
for the roots of a quadratic equation. Vieta's theorem. Formula for the roots
of a quadratic equation if b is an even number. Factorization of a square trinomial.

28:48 Fractional rational equations.
Algorithm for solving a fractional equation.

32:43 Numerical inequalities and their properties.
Properties of numerical inequalities. Addition and multiplication
of numerical inequalities.

36:33 Inequalities with one variable.
Solution of inequalities with one variable. Solution of inequalities
with one variable. Numerical intervals.

44:05 Systems of inequalities with one variable.
What is a solution to a system of inequalities with one variable. Variants of solutions to systems of inequalities.

46:44 Power with an integer exponent.
Definition. Properties of a power. Standard form of a number.

48:57 Functions.
The function y=k/x its graph and properties. The function y=√x its graph and properties.

53:02 Real numbers.
The set of natural numbers. The set of integers. The set of rational numbers. Rational and irrational numbers. The set of real numbers.

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Check if you are ready for the algebra exam! Credit work, 9th grade, part 1 (test, answers, solution):

   • Проверь, готов ли к экзамену по алгебре! З...  

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ADDITION of rational numbers. All options:    • СЛОЖЕНИЕ рациональных чисел. Все варианты ...  

MULTIPLICATION of rational numbers. All options:
   • УМНОЖЕНИЕ рациональных чисел. Все варианты...  

DIVISION of rational numbers. All options:
   • ДЕЛЕНИЕ рациональных чисел. Все варианты /...  

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