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WorksheetsCh 4 Quadratics Review
Total questions: 32
Worksheet time: 8hrs 0mins
Name
Class
Date
1.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
2.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
3.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
4.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
5.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
6.
What form is this?
f(x)= 2(x+3)2 - 4
f(x)= 2(x+3)2 - 4
a)
factored form
b)
Standard Form
c)
Vertex Form
d)
Parabola
7.
Factor: x2+16x+64
WHAT TWO NUMBERS MULTIPLY TO 64
AND ADD UP TO 16?
WHAT TWO NUMBERS MULTIPLY TO 64
AND ADD UP TO 16?
a)
(x+8)(x+8)
b)
(x+2)(x+32)
8.
Factor x2 + 12x + 20
WHAT TWO NUMBERS MULTIPLY TO 20
AND ADD UP TO 12?
WHAT TWO NUMBERS MULTIPLY TO 20
AND ADD UP TO 12?
a)
(x + 2)(x + 10)
b)
(x + 7)(x + 5)
c)
(x + 6)(x + 6)
9.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
10.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
11.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
12.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
When did the ball hit the ground?
h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
13.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
14.
What are the solutions to the quadratic equation:
3(x - 2)2 = 192
a)
x = -6 and x = 10
b)
x = 6 and x = -10
c)
x = ±10
d)
x = 2 ± 8√3
15.
Simplify:
(3 + 2i) + (4i + 6)
(3 + 2i) + (4i + 6)
a)
9 + 6i
b)
7i + 8
c)
9 + 6i2
d)
9 - 6i
16.
Simplify:
(4 + 7i) - (3 + 2i)
(4 + 7i) - (3 + 2i)
a)
1 + 5i
b)
7 + 9i
c)
1 + 9i
d)
-1 + 5i
17.
Simplify:
(2 - 3i)(5 + 4i)
(2 - 3i)(5 + 4i)
a)
22 - 7i
b)
22 + 7i
c)
22 - 7i2
d)
22 + 7i2
18.
Simplify:
-3i(4 + 2i)
-3i(4 + 2i)
a)
6 - 12i
b)
6 + 12i
c)
-12i - 6i2
d)
-12i + 6i2
19.
What is the complex conjugate of 4-3i?
a)
A. 1/(4-3i)
b)
B. 1/(4+3i)
c)
C. -4 + 3i
d)
D. 4 + 3i
20.
(4-5i)(4+5i)
a)
41
b)
-9
c)
41+40i
d)
-9+40i
21.
a)
10
b)
-10
c)
10i
d)
-10i
22.
Solve
3x2 - 5 = -446
3x2 - 5 = -446
a)
±√-147
b)
7i√3
c)
±7i√3
d)
-7√3
23.
Simplify:
√-108
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
24.
What is the simplified form of the above?
a)
7/10 + 11/10 i
b)
13/10 +1/10 i
c)
5/4 - 3/2i
d)
7/10 - 11/10 i
25.
What complex number is represented by the graph?
a)
-3-i
b)
-3+i
c)
1+3i
d)
1-3i
26.
What complex number is shown on the graph?
a)
(-2,-3)
b)
-2-3i
c)
2-3i
d)
3i-2
27.
Complete the square for
x2 - 12x + ____
a)
144
b)
36
c)
- 36
d)
24
28.
Complete the square.
x2 + 6x + ____
a)
9
b)
12
c)
36
d)
- 9
29.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
30.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
31.
Factor Completely:
3x2 + 18x +15
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
32.
Factor Completely:
2k2-14k-60
2k2-14k-60
a)
2(k-10)(k-3)
b)
Not Factorable
c)
(k-5)(k+9)
d)
2(k-10)(k+3)
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