1
Algebra Two/Trig H Mult Choice Review :Chapter One 1-4 Name: Date:
1. Match the equation with its graph. [pic]
[A] [B] [C] [D] None of these
2. Identify the x- and y-intercepts.
[A] x-intercept: [pic]
y-intercepts: [pic]
[B] x-intercept: [pic]
y-intercepts: [pic]
[C] x-intercepts: [pic]
y-intercept: [pic]
[D] x-intercepts: [pic]
y-intercept: [pic]
3. Match the equation with its graph. [pic]
[A] [B] [C] [D]
4.
Assume that the graph to the left is a portion of a complete graph with
y-axis symmetry. Which graph below is the complete graph?
[A] [B] [C] [D]
5. Identify the equation whose graph is symmetric with respect to the the origin.
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
6. The graph below is a portion of a complete graph. Sketch the complete graph assuming it is symmetric with respect to the [pic]
[pic]
7. Which equation does this graph represent?
[A] [pic] [B] [pic]
[C] [pic] [D] [pic]
8. Find the center and radius of the circle with the given equation. [pic]
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
9. A model for the demand for saws is
[pic]
where d is the number of saws a manufacturer can sell at a price of p dollars each. Use a graphing utility to graph the equation. Then find the price that results in the maximum demand for saws.
[A] $98 [B] $36 [C] $49 [D] None of these
10. The height of a diver jumping from a diving platform is about
[pic]
where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 29.8 feet above the water with an initial upward velocity of[pic]
(a) Sketch a graph the equation from t = 0.0 to t = 2.0.
(b) After how many seconds is the diver’s height above the water 18 feet? Round your answer to the nearest tenth of a second.
(c) After how many seconds is the diver’s height above the water 37 feet? Round your answer to the nearest tenth of a second.
11. Solve: [pic] [A] 6 [B] 4 [C] 8 [D] 2
12. Solve: [pic] [A] [pic] [B] [pic] [C] [pic] [D] [pic]
13. Solve: [pic][pic][pic] = 4 [A] [pic] [B] [pic] [C] [pic] [D] [pic]
14. Identify the x- and y-intercepts of the graph of the equation: [pic]
[A] x-intercepts: [pic] y-intercept: [pic]
[B] x-intercepts: [pic] y-intercept: [pic]
[C] x-intercepts: [pic] y-intercepts: none
[D] x-intercepts: [pic], [pic] y-intercept: [pic]
15. Identify the x- and y-intercepts of the graph of the equation [pic]
16. A dump truck is unloading sand which is falling into a conical pile. The volume of a cone is
[pic] where V is the volume, r is the radius, and h is the height of the cone. Find the height of the cone when the diameter of the pile is 20 feet and the volume of the sand is [pic] Round your answer to the nearest tenth.
17. Which is a verbal model to find the distance traveled by an airplane flying at 280 miles per hour for 3 hours? [A] [pic] [B] [pic]
[C] [pic] [D] [pic]
18. Kate is a salesperson in a retail store and earns $70 per week plus 14% of her weekly sales. If Kate made $266 one week, what were her sales that week?
[A] $27.44 [B] $1400.00 [C] $1630.00 [D] $37.24
19. Ingrid bowled 2 games, scoring 196 and 224. What must she bowl in the third game in order to have a 183 average for these 3 games?
[A] 125 [B] 201 [C] 129 [D] It is impossible to average 183 for these 3 games.
20. Radio signals travel at a rate of [pic] meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of [pic] meters?
21. Standing next to each other, a woman casts a 98-inch shadow and her 47-inch-tall son casts a 65.8-inch shadow. What is the height of the woman to the nearest inch?
22. How much of a 70% acid solution must be mixed with 30 gallons of a 14% acid solution to obtain a solution that is 60% acid?
[A] 13.8 gal [B] 138 gal [C] 4.2 gal [D] None of these
23. How much pure water must be mixed with 7 pints of 60% developer to produce a mixture that is 25% developer? [A] [pic] pt [B] [pic] pt [C] [pic] pt [D] [pic] pt
24. Solve by factoring. [pic] [A] [pic] [B] [pic] [C] [pic] [D] [pic]
25. Solve by factoring. [pic] [A] [pic] [B] [pic] [C] [pic] [D] [pic]
26. Solve by extracting square roots. [pic]
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
27. Solve by extracting square roots. [pic][pic]0
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
28. Find the missing terms.
[pic]
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
29. Use the Quadratic Formula to solve. [pic]
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
30. After being shot into the air, the height of a rocket is
[pic]
where h is the height above the ground, in feet, after t seconds. After how many seconds will the rocket be at a height of 192 feet?
[A] [pic] [B] [pic] [C] [pic] [D] [pic]
31. A sidewalk was built around a rectangular garden. If the area of the sidewalk is[pic] find x. (Note: Figure not drawn to scale.)
[A] 7 m [B] 9 m [C] 3 m [D] 2 m
32. Sketch the graph of[pic]
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