Unit Test — Unit test Answers

What is the sum of 12 – 5i and –3 + 4i?

Use the zero product property to find the solutions to the equation x2 – x – 6 = 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

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

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

If the discriminant of a quadratic equation is 4, which statement describes the roots?

Use the zero product property to find the solutions to the equation x2 – 9 = 16.

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

When graphed, which parabola opens downward?

Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions 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?

What is the value of i 20+1?

What are the values of x in the equation x2 – 6x + 9 = 25?

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

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

Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

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?