MATH ACTIVITY PREPARED BY: KRISTINE MAE GUERRA MARX LENNIN CABALTICAN.

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Rational Algebraic Expressions

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Presentation transcript:

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

SIMPLIFY:SIMPLIFY:SIMPLIFY:SIMPLIFY: 1.x 3 t 4x 2 x 2 2.5x – 3 3-5x 3. 2y 2 – y – 3 2y 2 – 5y t x 3 t 4x 2 2x 5. 5.x 2 y – xy 2 x 3 – x 2 y 6. 6.x 3 t 27 x 2 - 9

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

PROBLEM SOLVING DIRECTION: Solve the following problems.

1.The sum of two numbers is 77. The large number is 3 more than the smaller number. Find the numbers. 2.A rectangle has a perimeter of 38 meters. The length is 1 meter less than 3 times the width. Find the dimensions of the rectangle A two-digit number is increased by 54 when the digits are reversed. If the sum of the digits is 12, find the number The sum of the numbers is 21. Three times the smaller number increased by 5 equals the larger 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 P25,000. Part of it was invested at 12% and the rest at 15%. If his total annual income from both investments is P3,305, 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.

1.Jojo has 56 bills and coins consisting of 10- peso bills anmd 5- peso coins. If he has a total of P440, how many of each type does he have. 2. A boat travels 30 km downstream in 2 hours and takes 3 hours to return. Find the speed of the current and the speed of the boat in still water. (Hint: The speed of the boat downstream equals speed of current plus speed of the boat in still water.)

GOODLUCK!