SOLVING PROBLEMS - ALGEBRAIC EQUATIONS (4th) FOURTH QUARTER GRADE 7 MATATAG TAGALOG MATH TUTORIAL

The video introduces the topic of solving problems involving algebraic equations. The key competencies are to write equations in algebraic form and solve them. It's recommended to have prior knowledge of solving algebraic equations using properties of equality.

The first example, 'A number is multiplied by seven and then increased by five. The result is 47. Find the number.' is explained. The solution involves representing the unknown number as 'X', forming the equation 7X + 5 = 47, and solving for X using the subtraction and division properties of equality. The answer, X=6, is then verified by substitution.

The second example, 'When 19 is decreased from four times a number, the result is 45. Find the number.' is presented. The equation formed is 4X - 19 = 45. The solution demonstrates using the addition and division properties of equality to find X=16, which is also verified.

The third example, Brian's saving goal, 'Brian wants to save 700 pesos each month and currently has saved 500 pesos. How many months will it take him to reach his goal of saving 4,000 pesos?' is covered. The equation is 700X + 500 = 4000. The steps involve using the subtraction and division properties of equality to solve for X, which results in 5 months. The answer is verified and the importance of including units in the final answer is highlighted.

The fourth example focuses on geometry: 'If the perimeter of a square garden is 56 meters, what is the length of each side of the garden?' The formula for the perimeter of a square, P = 4S, is introduced. With P=56, the equation becomes 4S = 56. Solving using the division property of equality yields S=14 meters. The solution is verified, and the appropriate unit is included in the answer.

The final example, 'Ella had 500 pesos in her wallet. She bought six notebooks worth X pesos each. If the money left in her wallet is 260 pesos, how much is the price of each notebook?' is discussed. The equation formed is 500 - 6X = 260. The solution involves using the subtraction and division properties of equality, paying attention to negative signs, to find X=40 pesos. The answer is verified, and the final answer with units is stated.

The video concludes by presenting an activity for viewers to practice the concepts learned. Viewers are encouraged to pause the video, solve the problems, and then check their answers. The solutions are provided, and the presenter thanks the audience and encourages them to subscribe to the channel.