Unit Test Answers

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?A = lw

Which is the standard form of the equation of the parabola that has a vertex of (–4, –3) and a directrix of x = 2?

Which system is equivalent to

A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of product X and $0.04 per item to ship product Y. If the total shipping cost is $352, which system of equations can be used to determine how much of product X and product Y the store owner bought?

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

A graph of a quadratic function y = f(x) is shown below.What is the solution set of the quadratic inequality f(x) 0?

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

Rene is designing a satellite that is the shape of a parabola that opens upward with a diameter of 8 in. and a depth of 2 in. The feed antenna focuses the incoming radio waves. At what point should the feed antenna be placed?

During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation y = –0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation y = –0.01x2 + 0.18x + 5. If x represents the distance the pumpkin traveled in feet and y represents height of the pumpkin in feet, what does the intersection point of the equations represent?

Brian is solving an equation where both sides are quadratic expressions. He sets the expressions equal to y. Then he graphs the system finding that the two graphs share a common vertex, but one graph opens upward and the other opens downward. How should Brian interpret this outcome?

Which quadratic inequality does the graph below represent?

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light?

Carlos graphs the equations and and generates the graph below. Which conclusion is supported by the graph?

The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distancesv(mph)d(ft)1517.92031.850198.7