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  2. Seventh grade - Wikipedia

    en.wikipedia.org/wiki/Seventh_grade

    Seventh grade (also 7th Grade or Grade 7) is the seventh year of formal or compulsory education. The seventh grade is typically the first or second year of middle school. In the United States, kids in seventh grade are usually around 12–13 years old. Different terms and numbers are used in other parts of the world.

  3. Change of variables - Wikipedia

    en.wikipedia.org/wiki/Change_of_variables

    Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering differentiation or integration (integration by substitution). A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial:

  4. Grid method multiplication - Wikipedia

    en.wikipedia.org/wiki/Grid_method_multiplication

    Mathematically, the ability to break up a multiplication in this way is known as the distributive law, which can be expressed in algebra as the property that a(b+c) = ab + ac. The grid method uses the distributive property twice to expand the product, once for the horizontal factor, and once for the vertical factor.

  5. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    In words: the child is 4 years old. The general form of a linear equation with one variable, can be written as: a x + b = c {\displaystyle ax+b=c} Following the same procedure (i.e. subtract b from both sides, and then divide by a ), the general solution is given by x = c − b a {\displaystyle x={\frac {c-b}{a}}}

  6. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    [2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...

  7. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). [1] These operations may be performed on numbers, in which case they are often called arithmetic operations.

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