"Algebraic Formulas" Integers and their addition and subtraction PPT (Lesson 1)

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"Algebraic Formulas" Integers and their addition and subtraction PPT (Lesson 1)

Part One Content: Basic Knowledge Key Points

Knowledge point 1: The meaning of algebraic expressions

1. The following formulas: -x+1,π+2,8>3,(x+y)/(x"-" y),S=1/2ab, among which the algebraic formula is (C)

A.5 B.4 C.3 D.2

2. The meaning of the algebraic formula a/(b"-" 1) is (D)

A.a divided by b minus 1

B.b minus 1 divided by a

C. The difference between b and 1 divided by a

D. The quotient obtained by dividing a by the difference between b and 1

Knowledge point 2: Standards for writing algebraic expressions

4. Which of the following expressions conforms to the standards for writing algebraic expressions (C)

A.2÷a B.2×a C.2a D.12/5a

5. Which of the following algebraic expressions are written in a standardized way and which ones are not written in a standardized way? Please correct the irregular ones.

①3x+1;②m×n-3;③2×y;④am+bn yuan;⑤a÷( b+c );⑥a-1÷b.

Knowledge point 3 Column algebra

6. The original price of a product is a yuan. If the price is increased by 50%, and then sold at a 30% discount on the marked price, the selling price at this time will be 1.05a yuan.

Algebraic PPT, Part 2: Improvement of Comprehensive Ability

7. (Adaptation) Among the following quantitative relationships expressed by formulas containing letters, the incorrect one is (D)

A. "The sum of the reciprocals of the two numbers a and b" can be expressed as 1/a+1/b

B. "The product of m is a number of 1/2n2" can be expressed as n^2/2m

C. "Twice the difference between the opposite of x and y" can be expressed as 2(-x-y)

D. "The number that is 3 less than the square of the difference between a and b" can be expressed as (a2-b2)-3

8. To celebrate New Year's Day, a shopping mall in Zhengzhou held a promotion. The promotion method is "when the consumption exceeds 200 yuan, the purchased product will be discounted by 20% off the original price, and then sold for 20 yuan less." If the original price of a product is x yuan (x>200), then the actual payment amount for purchasing the product is (A)

A.(80%x-20) yuan B.80%(x-20) yuan

C.(20%-20) yuan D.20%(x-20) yuan

Algebraic PPT, the third part: Expansion, exploration and breakthrough

11. The company reformed and implemented a new system of monthly assessment and reward, which greatly mobilized the enthusiasm of employees. The changes in the monthly bonus of an employee in 2019 are as follows: (Positive numbers indicate more money than the previous month, negative numbers indicate the ratio) The amount of money less than the previous month, unit: yuan)

(1) If the bonus in December 2018 is a yuan, use an algebraic expression to express the bonus in February 2019;

(2) Under the conditions of (1), please determine which month in the past six months has this employee received the most bonuses? Which month has he received the least?

Solution: (1) The bonus for February 2019 is a+300-220=(a+80) yuan.

(2) January: (a+300) yuan, February: (a+80) yuan, March: a+80-150=(a-70) yuan, April: a-70-100=(a -170) yuan, May: a-170+310=(a+140) yuan, June: a+140+200=(a+340) yuan.

Therefore, this employee received the largest bonus in June and the smallest bonus in April.

Keywords: Free download of Beijing Normal University Edition seventh-grade mathematics PPT courseware for volume 1, algebraic formula PPT download, integer expressions and their addition and subtraction PPT download, .PPT format;

For more information about the PPT courseware "Integers and their addition and subtraction algebraic expressions", please click on the PPT tab of "Integers and their addition and subtraction algebraic expressions".

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Update Time: 2024-06-30

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