Algebra II – Unit 3.2 Quiz/Review
Solving Quadratics Graphically Name ______
Graph and fill in the blanks.
1.
Opens up or down ______
Equation of Axis of Symmetry ______
Vertex ______
Maximum or minimum value ______
Coordinate of y-intercept ______
Zero(s) / x-intercept(s)______
Domain (Interval Notation) ______
Range (Interval Notation) ______
2.
Opens up or down ______
Equation of Axis of Symmetry ______
Vertex ______
Maximum or minimum value ______
Coordinate of y-intercept ______
Zero(s) / x-intercept(s)______
Domain (Interval Notation) ______
Range (Interval Notation) ______
3.
Opens up or down ______
Equation of Axis of Symmetry ______
Vertex ______
Maximum or minimum value ______
Coordinate of y-intercept ______
Zero(s) / x-intercept(s)______
Domain (Interval Notation) ______
Range (Interval Notation) ______
Solve each inequality. State the solutions in interval notation. (5 points each)
4. x2 – 7x + 16 > 4 5. 4x2 + 4x - 10 -2
6. x2 + 3x – 14 14 7. x2 + 6x + 3 < -2
8. Red Box is thinking of changing their nightly rental prices to increase their profits. The function models the monthly profit p of a Red Box DVD rental station, where r is the rental price of a DVD. For what range of rental prices does the station earn a monthly profit of at least $5000.
9. A business offers tours to Patagonia, a region of South America that includes part of Chile and Argentina. The profit p for x number of persons is . The trip will be rescheduled if the profit is less than $7500. How many people must have signed up if the trip is rescheduled?
10. The human cannonball is an act where a performer is launched through the air. The height of the performer can be modeled by where h is the height in feet and x is the horizontal distance travelled in feet. The circus act is considered a flight path directly over the main tent.
If the performer wants at least 5 ft of vertical height clearance, how tall can the tent be?
Quadratic Applications
11. The base of a triangle is 4 inches longer than twice its height. If the triangle has an area of 24 in2, what is its height?
12. A rectangular pool 24 ft wide and 56 ft long is surrounded by a walkway of uniform width. If the total area of the walkway and the pool is 1953 sq. ft, how wide is the walkway?
13. The product of two consecutive integers is 1332. What are the two integers?
14. Seven is added to an integer and that sum is doubled. When this result is multiplied by the original integer the product is 396. Find the positive integer.