Representing Quantities in Real-life Situations using Algebraic Equation

This is a note hat will help the learners in Grade 6.

1. Representing Quantities in Real-life Situations Using Algebraic Equations

2. Translate the following mathematical phrases into mathematical expressions. 1. Six more than twice a number 2. The sum of a number and eight divided by two 3. Eighteen less than half a number 4. Twice a number plus five 5. The difference of five and two multiplied by five = 2n + 6 = n + 8 ÷ 2 = n/2 - 18 = 2n + 5 = 5 - 2 x 5

3. What can you see in the picture? What are the fruits that you can see in the picture? Do you love to eat fruits? Why? Why do we need to eat fruits?

4. Izah went to the supermarket to buy some fruits. She bought 5 star apples for PhP5.00 each and 3 pomelo for PhP50.00 each. She gave the cashier a PhP200.00 bill. Write an expression for the total cost of the fruits she bought and an equation for the amount of change the cashier should gave her.

5. A variable is any letter or symbol that represents a number. Let m be the price of star apple which is PhP5.00 n be the price of pomelo which is PhpP50.00 p be the amount of change

6. Read each statement and answer what is asked for. Jaden is X years old now. Write an algebraic equation for Jaden’s age if his age 5 years from now is 17. 2. Matthew bought 5 pencils and 8 notebooks. A notebook costs PhP10.00 more than a pencil. The total amount of the school supplies bought is PhP210.00. Write an algebraic equation for the total amount of school supplies bought. X + 5 = 17 5m + 8 (m+10) = P210

7. What is an algebraic equation? What common words does “=“ can be translated for? An Algebraic Equation is a mathematical sentence with an equal sign (=) which shows that two expressions on either side are equal. Common words translated as “=“ are equals, is, are, were, was, is equal to and result is. Variable is any letter or symbol that represents a number. What is variable?

8. What is an algebraic equation? What common words does “=“ can be translated for? An Algebraic Equation is a mathematical sentence with an equal sign (=) which shows that two expressions on either side are equal. Common words translated as “=“ are equals, is, are, were, was, is equal to and result is. Variable is any letter or symbol that represents a number. What is variable?

9. Solve each problem. Write an algebraic equation for the cost of 21 liters of gasoline, If X pesos per liter is PhP2 092.00. 21X=P2092.00

10. Solve each problem. 2. Romar is twice as old as Mavic. Jaypee is 2 years older than Romar. Write an algebraic equation showing that twice the sum of Romar and Mavic ages will result to Jaypee’s age. Let m be the age of Mavic Mavic = m Romar = 2m Jaypee = 2m + 2 2(m+2m)=2m+2

11. Translate the following sentences to algebraic equations. 1. Twice a number is equal to six. 2. If three times a number is decreased by two, the answer is seven. 3. The ratio of a number and ten is two. 4. Half of the sum of a number and three is six. 5. The difference of seven and a number is equal to six times the number. Assignment

12. 1. 2n = 6 2. 3n – 2 = 7 3. n/10 = 2 4. ½ (n+3) = 6 5. 7 – n + 6n

13. Solving Routine and Non-Routine Problems Involving Different Types of Numerical Expressions and Equations

14. If we let x be the unknown number, how can these sentences be translated into mathematical equations? What is the value of x ?

15. Solve for the value of the unknown variable. N + 5 = -5 2. 5y - 2 = 18 3. C + 18 = 29 -10 4 11

16. Solve for the value of each missing number. 1. 3x = 15 2. 2n + 5 = 11 3. n + 2 = 7 4. 2x + 2 = 22