TRANSLATING VERBAL PHRASES -ALGEBRAIC EXPRESSIONS |4th QUARTER GRADE 7 MATATAG TAGALOG MATH TUTORIAL

The video introduces the topic of translating verbal phrases into algebraic expressions, emphasizing their importance in simplifying and solving real-world problems across various fields such as engineering, accounting, medicine, and software development. Examples include calculating total weight for bridges (T=W*N), determining profit (P=R-E), calculating medical dosages (D=W*R), and managing storage in programming (S=U*F).

The lesson begins with a simple example: 'Jana has a number of apples, if five more.' It explains that 'a number' is an unknown represented by a variable (commonly 'x'), and 'more' signifies addition. Thus, the expression becomes x + 5.

This segment details keywords indicating addition, such as 'sum of' (e.g., sum of a number and 9 becomes x + 9), 'added to' (e.g., 6 added to a number becomes x + 6), 'increased by' (e.g., a number increased by 5 becomes x + 5), 'more than' (e.g., a number more than 7 becomes x + 7), 'total of' (e.g., total of a number and three becomes x + 3), 'gain' (e.g., a gain of four units becomes x + 4), 'raised by' (e.g., salary raised by 2000 becomes x + 2000), and 'grow by' (e.g., a tree grew by 10 cm becomes x + 10).

This part focuses on keywords for subtraction: 'difference between' (e.g., difference between a number and 5 becomes x - 5), 'decreased by' (e.g., a number decreased by 6 becomes x - 6), 'reduced or diminished by' (e.g., a number reduced by 9 becomes x - 9), 'drop by' (e.g., temperature dropped by 2 degrees becomes x - 2). Special attention is given to 'less than' and 'less' to avoid common mistakes. For example, 'a number less than 12' is 12 - x, while '12 less a number' is 12 - x, and '10 subtracted from a number' is x - 10.

Keywords for multiplication include 'product of' (e.g., product of a number and 6 becomes 6x), 'multiplied by' (e.g., a number multiplied by 5 becomes 5x), 'twice or double' (e.g., twice a number becomes 2x), 'trice or triple' (e.g., trice a number becomes 3x), 'times' (e.g., 4 times a number becomes 4x), 'of' (e.g., 2/3 of a number becomes (2/3)x), 'per' (e.g., x pesos per student becomes x*s), and 'area of' (e.g., area of a rectangle with length x and width y becomes xy).

Keywords for division are covered: 'quotient of' (e.g., quotient of a number and 9 becomes x/9), 'divided by' (e.g., a number divided by 4 becomes x/4), 'ratio of' (e.g., ratio of a number to 7 becomes x/7), 'half of' (e.g., half of a number becomes x/2), '1/3 of' (e.g., 1/3 of a number becomes x/3), 'all over' (e.g., 20 all over a number becomes 20/x), and 'split into' (e.g., a number split into five equal parts becomes x/5).

The video provides practice exercises for single-operation translations. Examples include finding the sum of r and 10 (r + 10), the product of 2 and m (2m), the quotient of a number and 5 (x/5), trice a number y (3y), a number less 5 (x - 5), 3 less than a number (x - 3), half of p (p/2), and 8 more than t (t + 8).

This section delves into verbal phrases involving more than one operation. Examples include 'twice a number increased by 5' (2x + 5), '2 less than the product of 8 and c' (8c - 2), 'the quotient of trice a number and 5' (3x/5), '3/4 of a number increased by 10' (3/4 n + 10), '7 more than 4 times a number' (4x + 7), 'the difference of 2 times a number and 4' (2x - 4), '6 times the sum of a number and nine' (6(x + 9)), and '4 times the square of B reduced by 1' (4b^2 - 1).

The video concludes with an activity section, encouraging viewers to pause the video and practice translating phrases with both single and multiple operations. Solutions are provided for self-assessment. The host reminds viewers to refer back to unclear sections and teases the next video on polynomials. He thanks viewers and promotes the channel for continued math learning.