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Discussion on the merger of similar items and the removal of brackets in junior high school
1. When merging similar items, the coefficients of similar items are added, and the letters and their indexes remain unchanged.

For example: (1) 2x-3y? -7x-5y? =(2-7)x+(-3-5)y? =-5x+(-8)y? =-5x-8y? .

(2) 5a? +2a-4a? +7a-3a? =5a? +(2+7)a+(-4-3)a? =5a? +9a-7a? .

2. Algebraic letters are usually preceded by a "+or-"symbol, which can be regarded as "+"when not written.

Rules for removing brackets:

(1) When there is a "+"before the bracket, all items in the bracket do not need to be changed after removing the bracket and the "+"before it;

Such as: (-a+b)+(3c-8) =-a+b+3c-8;

Another example is: (x+2y)+(-3z+m) = x+2y-3z+m.

(2) When there is a "-"in front of the bracket, after removing the bracket and the "-"in front, each item in the bracket should be changed.

Such as:-(a+b)-(-c-3) =-a-b+c+3;

Another example is: -(-x+y)-(z-4)=x-y-z+4.

3. When to use fractions in algebraic expressions is of course determined according to the content of the topic.

For example, the sum of twice x and half y can be expressed as 2x+(1/2) y;

For another example, if the upper bottom of a trapezoid is A, the lower bottom is B and the height is H, then its area is (1/2) (A+B) H.