Complex Expressions Worksheets Grade 9

1. Tane is analyzing the profit from a school fundraising car wash. The profit P(x) in dollars for washing x cars is given by the expression P(x) = 12x - 75. In this expression, what does the number 12 represent and what does the number -75 represent in the context of the car wash?
2. Liam is designing a rectangular garden with a perimeter of 40 meters. He wants the length to be 4 meters more than twice the width. Write and solve a system of equations to determine the dimensions of Liam's garden.
3. Noah is analyzing the expression 2500(0.91)^t that models the value of a car after t years. In this expression, what does the number 0.91 represent?

…and 6 more problems

1. Mason is analyzing the expression 1500(0.92)^t that models the value of his car over time. In this expression, what does the number 0.92 represent?
2. Emma is analyzing the trajectory of a rocket launch using quadratic functions. The rocket's height above ground is modeled by h(t) = -4.9t² + 98t + 20, where h is height in meters and t is time in seconds. At what time does the rocket reach its maximum height?
3. Liam is analyzing the trajectory of a basketball shot. The ball's height above the ground is modeled by the function h(t) = -16t² + 24t + 6, where h is height in feet and t is time in seconds. At what time does the basketball reach its maximum height?

…and 5 more problems

1. Noah is analyzing the cost of a new smartphone plan. The monthly cost C in dollars for using n gigabytes of data is modeled by the expression C(n) = 45 + 12n, where n represents the number of gigabytes used in a month. What does the number 12 represent in the context of this phone plan?
2. Hana is analyzing the expression 1200(1.08)^t that models her investment growth. In this expression, what does the number 1.08 represent?
3. Tane is analyzing the profit from selling handmade sculptures at a market. The profit P(x) in dollars for selling x sculptures is modeled by the expression P(x) = -2x^2 + 120x - 400. Interpret the meaning of the term -400 in this context.

…and 5 more problems