Rational Expressions Worksheets Grade 9

1. Matiu has 50 pencils in a box. Matiu gives 13 pencils to a friend. How many pencils does Matiu have left in the box?
2. (x² - 121)/(x + 11) = ?
3. Liam is making a fruit salad for a school event. The recipe calls for (x^2 - 100)/(x + 10) cups of sliced strawberries and (x^2 + 20x + 100)/(x + 10) cups of blueberries. How many total cups of fruit does Liam need for his fruit salad?

…and 6 more problems

1. (10/(x+5)) + (15/(x-5)) = ?
2. Isabella is making a special fruit punch for a party. She needs to combine two different juice mixtures. The first mixture requires (x^2 - 81)/(x^2 + 11x + 24) cups of concentrate, and the second mixture requires (x + 9)/(x + 8) cups of concentrate. What is the total amount of concentrate Isabella needs when she multiplies these two amounts together?
3. Sophia is making a special fruit punch for a party. The recipe calls for (x^2 - 16)/(x^2 + 6x + 9) cups of cranberry juice and (x + 4)/(x + 3) cups of orange juice. She needs to multiply these two quantities to determine the total amount of juice base required. What is the simplified product of these two rational expressions?

…and 4 more problems

1. Nikau is baking cookies for a bake sale. The recipe calls for 6 cups of flour. Nikau decides to make 5 batches of the recipe. How many total cups of flour will Nikau use?
2. (8/(x+7)) + (12/(x-6)) = ?
3. Tane is designing a triangular garden plot with sides of length 13 meters, 14 meters, and 15 meters. He needs to calculate the area of the triangle to determine how much soil to purchase. Using Heron's formula, what is the area of the triangular garden in square meters?

…and 4 more problems