WorksheetsRegents Review 1
Total questions: 18
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
What are the zeros of the function f(x) = x2 — 13x — 30?
a)
—10 and 3
b)
10 and —3
c)
—15 and 2
d)
15 and —2
2.
Which function represents exponential decay?
a)
f(x) = 100(0.9)x
b)
f(x) = 10(1.09)x
c)
f(x) = 1.9x
d)
f(x) = ½(9)x
3.
f(x) = x2. g(x) = f(x - 4) + 2. Name the translation that takes f(x) to g(x).
a)
Four units up, two units right
b)
Two units left, four units down
c)
Four units right, two units up
d)
Four units left, two units up
4.
The function f(x) = √(x - 3) has a domain of:
a)
x ≤ 3
b)
x ≥ -3
c)
x ≥ 3
d)
x ≤ -3
5.
Find the value of the discriminant: 4x2-7x+8
a)
√79
b)
√-79
c)
-79
d)
-7±i√79/8
6.
What is the value: √-9 ⋅ √-16
a)
-12
b)
12i2
c)
12i
d)
-12i
7.
Simplify:
(2+3i)/(5+2i)
(2+3i)/(5+2i)
a)
(11 + 16i)/29
b)
(16 + 11i)/29
c)
16/29
d)
(4 + 11i)/29
8.
What would you add to
x2-16x+___ to complete the square?
x2-16x+___ to complete the square?
a)
4
b)
64
c)
16
d)
8
9.
How is the graph y = (x - 8)2 - 9 translated from y = x2?
a)
Moved down 8 and right 9
b)
Moved up 9 and left 8
c)
Moved down 9 and right 8
d)
Moved up 8 and left 9
10.
Which of the following is the factored form of x3 – 125?
a)
(x - 5)3
b)
(x - 5)(x2 + 25)
c)
(x - 5)(x2 + 5x + 25)
d)
(x - 5)(x2 - 5x + 25)
11.
Which is a factor of 3x2 + 10x – 8 = 0?
a)
(x - 4)
b)
(2x - 3)
c)
(x + 6)
d)
(3x - 2)
12.
How many solutions does the following equation contain?
a)
2 Real Solutions
b)
1 Real, 1 Extraneous
c)
2 Extraneous Solutions
d)
No Solutions
13.
What is the range of the function shown?
a)
(−2,∞)
b)
[-2,∞)
c)
(1,∞)
d)
(−1,∞)
14.
Describe the transformations of the function from the parent function f(x)=x2. f(x)=2(x−3)2-9
a)
vertical stretch, down 3, left 9
b)
vertical stretch, left 3, down 9
c)
vertical stretch, right 3, down 9
d)
vertical stretch, up 3, right 9,
15.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
16.
Simplify
√72x5
√72x5
a)
6x2√2x
b)
6x2
c)
6√2
d)
√2x
17.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
18.
Complete the square
x^2 + 12x + ____
x^2 + 12x + ____
a)
12
b)
36
c)
24
d)
6
100 %
