MATH ACTIVITY PREPARED BY KRISTINE MAE GUERRA MARX

MATH ACTIVITY PREPARED BY: KRISTINE MAE GUERRA MARX LENNIN CABALTICAN

RATIONAL ALGEBRAIC EXPRESSIONS -a quotient of 2 polynomials with the denominator not equal to zero

S IM P L IF Y : 1. x 3 t 4 x 2 2. 5 x – 3 3 -5 x 3. 2 y 2 – y – 3 2 y 2 – 5 y t 3 4. 5 x 3 t 4 x 2 2 x 5. x 2 y – xy 2 x 3 – x 2 y 6. x 3 t 27 x 2 - 9

7. 3 x 2 t 2 x -5 x 8. 4 x – 2 x 2 (2 – x) 9. 3 x 3 – x 2 1 – 3 x 10. xz – 3 bx t 2 yz – 6 by 3 x 2 t 7 xy t 2 y 2

PROBLEM SOLVING DIRECTION: Solve the following problems.

1. The sum of two 3. A two-digit number is numbers is 77. The increased by 54 large number is 3 when the digits are more than the reversed. If the sum smaller number. Find of the digits is 12, the numbers. find the number. 2. A rectangle has a 4. The sum of the perimeter of 38 numbers is 21. meters. The length is Three times the 1 meter less than 3 smaller number times the width. Find increased by 5 the dimensions of equals the larger the rectangle. number. Find the numbers.

5. The sum of two numbers is 26. If the two numbers differ by 4, find the numbers. 6. A man invested P 25, 000. Part of it was invested at 12% and the rest at 15%. If his total annual income from both investments is P 3, 305, how much did he invest at each rate? 7. The length of the rectangle is 2 cm less than three times its width. If the perimeter of the rectangle is 28 cm, find its dimensions. 8. The ages of Danny and Rico differ by 8. Twice Danny’s age increased by Rico’s age gives 53. If Rico is older than Danny, find their present ages.

HERE ARE OTHER PROBLEMS.

2. A boat travels 30 km 1. Jojo has 56 bills downstream in 2 and coins hours and takes 3 consisting of 10 hours to return. Find peso bills anmd 5 the speed of the peso coins. If he current and the speed has a total of P 440, of the boat in still how many of each water. (Hint: The speed of the boat type does he have. downstream equals speed of current plus speed of the boat in still water. )

GOODLUCK!