ALG 2 CH 4.5-4.8 TEST REVIEW
What are the solutions of the quadratic equation?
1.
____2. = 0
a. / 2, 4 / c. / ,b. / –2, / d. / 2,
Solve by using GRAPHING CALCULATOR. Give each answer to at most two decimal places.
____3.
a. / 0.24, 1.19 / c. / –1.19, –0.24b. / –0.47, 0.47 / d. / 0.48, 2.38
Solve by graphing.
____4.
a. / –2, 4 / c. / 2, –4b. / 2, –4 / d. / –2, 4
____5.The function models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.
a. / 7.79 seconds / c. / 0.25 secondsb. / 11.02 seconds / d. / 5.51 seconds
____6.The function models the path of a ball thrown by a boy where h represents height, in feet, and t represents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea level where h = 0 ft, which is a likely place the boy could have been standing when he threw this ball?
a. / his backyard / c. / a ladderb. / an underground cave / d. / a bridge
What is the solution of each equation?
____7.
a. / / c. /b. / , – / d. /
____8.
a. / , / c. / ,b. / , / d. / ,
____9.A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. For what height will the garden have an area of 360 square yards? Round to the nearest tenth of a yard.
a. / 17.1 yards / c. / 39.2 yardsb. / 34.2 yards / d. / 152.6 yards
Solve the equation.
10.
What value completes the square for the expression?
____11.
a. / 64 / c. /b. / 8 / d. /
Solve the quadratic equation by completing the square.
12.
Rewrite the equation in vertex form. Name the vertex and y-intercept.
____13.
a. /vertex: (6, – 2)
y-intercept: (0, 34) / c. /
vertex: (–12, –2)
y-intercept: (0, –2)
b. /
vertex: (–12, –2)
y-intercept: (0, –2) / d. /
vertex: (6, – 2)
y-intercept: (0, 34)
Use the Quadratic Formula to solve the equation.
14.
____15.
a. / / c. /b. / / d. /
____16.A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 155 square yards. The situation is modeled by the equation . Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard.
a. / 320 yards / c. / 20.4 yardsb. / 10.2 yards / d. / 12.7 yards
What is the number of real solutions?
____17.
a. / one solution / c. / two solutionsb. / no real solutions / d. / cannot be determined
____18.
a. / one solution / c. / two solutionsb. / no real solutions / d. / cannot be determined
____19.During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 132F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by . Will the temperature of the part ever reach or exceed 132F? Use the discriminant of a quadratic equation to decide.
a. / nob. / yes
Simplify the number using the imaginary unit i.
____20.
a. / / c. /b. / / d. /
____21.Identify the graph of .
a. / / c. /b. / / d. /
What is the absolute value of each number?
____22.
a. / –3 / c. /b. / –9 / d. /
Simplify the expression.
23.
____24.
a. / / c. /b. / / d. /
____25.
a. / i / c. / ib. / i / d. / i
What pair of factors should be used to find the complex solutions for x?
____26.
a. / / c. /b. / / d. /
____27.Find the solutions of the equation.
a. / / c. /b. / / d. /
28.Find the solutions of the equation.
ALG 2 CH 4.5-4.8 TEST REVIEW
Answer Section
1.ANS:
3, 6
2.ANS:D
3.ANS:A
4.ANS:C
5.ANS:D
6.ANS:D
7.ANS:B
8.ANS:B
9.ANS:A
10.ANS:
–4, –14
11.ANS:A
12.ANS:
13.ANS:A
14.ANS:
,
15.ANS:C
16.ANS:B
17.ANS:C
18.ANS:A
19.ANS:B
20.ANS:B
21.ANS:A
22.ANS:C
23.ANS:
24.ANS:B
25.ANS:C
26.ANS:D
27.ANS:A
28.ANS: