NAME :
CLASS :
Algebra 2 Chapter 4
33 Questions
DATE :
1.
Identify the y-intercept and the axis of symmetry for the graph of
f(x) = –3x2+ 6x + 12.
A
2; x = –12
B
–2; x = 0
C
–12; x = –1
D
12; x = 1
A
f(x) = x2– 4x
B
f(x) = –(x+4)2
C
f(x) = –x2 – 4x
D
f(x) = –x2+ 4x
3.
Determine whether f(x) = –5x2 – 10x + 6 has a maximum or a minimum value and find that
value.
A
maximum; –1
B
minimum; –1
C
maximum; 11
D
minimum; 11
4.
Solve x2 = 4x by graphing. If exact roots cannot be found, state the consecutive integers
between which the roots are located.
A
between –4 and 4
B
–4, 0
C
0, 4
D
2, –4
5.
Solve x2 – 3x = 28 by factoring.
A
{–14, 2}
B
{–4, 7}
C
{–2, 14}
D
{–7, 4}
2.
6.
Which quadratic equation has roots 7 and – 2 ?
A
x2 + 5x – 14 = 0
B
x2 - 5x +14 = 0
C
x2 – 5x – 14 = 0
D
x2 + 5x + 14 = 0
7.
Simplify (15 – 13i) – (–1 + 17i).
A
46
B
16 – 30i
C
16 + 4i
D
16 + 30i
8.
Simplify (1 + 2i )/(2 - 3i )
A
8/7 + i
B
– 4/13 + 7/13 i
C
8/7 + 1/7 i
D
–4 + 7i
9.
Find the value of c that makes x2 + 5x + c a perfect square trinomial.
A
25/16
B
-25/4
C
25/4
D
5/4
10.
The quadratic equation x2 – 18x = –106 is to be solved by completing the square. Which
equation would be a step in that solution? (Select all that apply)
A
(x - 9)2 = 25
B
x2 – 18x + 106 = 0
C
x – 9 = ±5i
D
x2 – 18x + 81 = –106
11.
Find the exact solutions to 2x2 = 5x – 1 by using the Quadratic Formula.
A
(5 ± √17)/2
B
(-5 ± √17)/4
C
(5 ± √17)/4
D
(5 ± √33)/4
12.
Use the value of the discriminant to determine the number and type of roots for each
equation. 3x2 – x – 12 = 0
A
-2 solutions
B
0 solution
C
1 solution
D
2 solutions
13.
Use the value of the discriminant to determine the number and type of roots for each
equation. x2 + 10 = 3x – 3
A
1 solution
B
-2 solutions
C
No solutions
D
2 solutions
14.
Which quadratic function has its vertex at (–3, 5) and opens down?
A
y = (x + 3)2 – 5
B
y = (x-3)2 + 5
C
y = –(x-3)2 + 5
D
y = –(x + 3)2 + 5
15.
What is the a.o.s of y=2x2 -4x+3
A
1
B
-1
C
4
D
-4
16.
What is the vertex of the equation y=3x2+1
A
(0,1)
B
(1/6,1/12)
C
(3,1)
D
(1,0)
17.
Solve algebraically 0<x2 - 5x+4
A
x<1 or x>4
B
1<x<4
C
x<1 or x>5
D
1<x<5
18.
Solve algebraically x2+8x+15<0
A
5<x<3
B
-5<x<-3
C
x<-5 or x>-3
D
x<3 or x>5
19.
i2 = ?
A
-1
B
i
C
1
D
0
20.
(2 +4i) + (6-5i)
A
12+20i
B
12-20i
C
8+i
D
8-i
21.
(3-4i)(2+i)
A
10-5i
B
10+5i
C
6-5i-4i2
D
6-5i+4i2
22.
What is the conjugate of -4+2i
A
4-2i
B
-4-2i
C
-4+2i
D
4+2i
23.
Does the quadratic f(x)= -2x2 + 3x-1 have a max or a min
A
min
24.
Does the quadratic open upward or downward.
f(x)= x2-1
A
Downward
25.
Solve by factoring x2+9x + 20
A
B
max
B
Upward
-4,-5
B
-11,-2
C
11,2
D
4,5
26.
Solve by finding GCF 4x2+16x=0
A
0,4
B
2,8
C
0,-4
D
2,-8
27.
The height of a javelin in feet is modeled by h(t)=-16t2+79t+5, where t is the time in seconds
after the javelin is thrown. How long is it in the air? (Hint: Do quadratic formula)
A
1/16 sec
B
5 sec
C
-5 sec
D
5/2 sec
28.
Find two consecutive positive even integers with a product of 624
A
22 and 24
B
16 and 39
C
3 and 208
D
24 and 26
29.
Simplify
A
-3i
2
B
9
2
C
-3
2
D
3i
2
30.
Simplify 5i × 3i
A
15i
B
-15
C
15 i2
D
15
31.
Solve x2 +64=0
B
8
A
−18
​
​
​
±8i
C
-8
32.
What is the vertex f(x)= (x-2)2 +4
A
-2,-4
B
2,4
C
2,-4
D
-2,4
D
±8
​
​
33.
Find the value of c that makes x2+6x+c a perfect square
A
36
B
3
C
6
D
9
Answer Key
1. d
2. c
3. c
4. c
5. b
6. c
7. b
8. b
9. c
10.
11. c
12. d
13. c
14. d
15. a
16. a
17. a
18. b
19. a
20. d
21. a
22. b
23. b
24. b
25. a
26. c
27. b
28. d
29. d
30. b
31. a
32. b
33. d