Linear with Rationals Worksheets Grade 9

1. A rectangular garden has a length that is 3/2 times its width. If the perimeter of the garden is 60 meters, what is the area of the garden in square meters?
2. 2x + 5 = 3(x - 1) + 7
3. The sum of two numbers is 24. One number is 3/4 of the other number. What is the larger number?

…and 6 more problems

1. A robotics team is programming a drone to follow a parabolic path described by the equation h(t) = -2t² + 12t, where h represents height in meters and t represents time in seconds. The team wants to know at what time the drone will reach its maximum height. Find the time when the drone reaches its highest point.
2. Hana is mixing a chemical solution for an experiment. She needs to add a certain amount of a concentrated acid to a beaker containing 0.75 liters of water. The final concentration of acid in the solution must be 0.4 (or 40%). If the concentrated acid is 100% pure, how many liters of acid should Hana add to achieve the desired concentration? Represent the situation with an equation and solve.
3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (x,0), and (0,3). The hypotenuse has a length of 5 units. Using the Pythagorean theorem, determine the value of x.

…and 5 more problems

1. A robotics team is programming a robot's movement path. The robot's position function is given by P(t) = (2t² - 8t + 6)/(t - 1), where t represents time in seconds. At what time does the robot reach its starting position (position = 0)?
2. A robotics team is programming a robot to follow a parabolic path. The robot's height above ground is modeled by the function h(t) = -2t² + 12t + 8, where h is height in meters and t is time in seconds. At what time will the robot reach its maximum height?
3. (5x - 8)/9 - (3x + 11)/7 = 2/3

…and 5 more problems