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WorksheetsMath 3 Spring 22 Benchmark 1 review
Total questions: 42
Worksheet time: 3hrs 13mins
Name
Class
Date
1.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
2.
What is the end behavior for
f(x)=2x2+x
f(x)=2x2+x
a)
A
b)
B
c)
C
d)
D
3.
Which solution has a multiplicity of 2?
a)
-1
b)
1
c)
3
d)
none of them do
4.
Which term is missing in this problem?
2x3 + 5x2 + 9 ÷
x + 3
2x3 + 5x2 + 9 ÷
x + 3
a)
x4
b)
x3
c)
x2
d)
x
5.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
6.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
7.
Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
8.
Which interval is decreasing? (2 answers)
a)
0 < x < 2
b)
x > -2
c)
4 < x < 6
d)
x > 8
9.
What is the end behavior for
f(x)= -x3+2x+1
f(x)= -x3+2x+1
a)
A
b)
B
c)
C
d)
D
10.
What is the end behavior for
f(x)= πx5-5x2
f(x)= πx5-5x2
a)
A
b)
B
c)
C
d)
D
11.
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x3 - x + 5
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x3 - x + 5
a)
Left up Right up
b)
Left up Right down
c)
Left down Right up
d)
Left down Right down
12.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient
Identify the degree of the polynomial and the sign of the leading coefficient
a)
Leading Coefficient Positive
Degree - Even
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
Degree - Odd
13.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
-∞
b)
+∞
-∞
-∞
c)
-∞
+∞
+∞
d)
+∞
+∞
+∞
14.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
-∞
b)
+∞
-∞
-∞
c)
-∞
+∞
+∞
d)
+∞
+∞
+∞
15.
Which would be better to use here?
a)
Long division
b)
Synthetic division
16.
Is this division problem worked correctly?
a)
This is correct!
b)
This is incorrect!
17.
Given x=5, x =3/2, and x= 5/3...
which of the following is the correct factored form?
which of the following is the correct factored form?
a)
(x-5)(2x-3)(3x-5)
b)
(x+5)(2x+3)(3x-5)
c)
(x-5)(x-3/2)(x-5/3)
d)
(x-5)(3x-2)(5x-3)
18.
What is the RANGE?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
19.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
20.
are these inverse functions?
a)
no
b)
yes
c)
no way to tell
21.
The rate is given as a percent (%). Before using it in the simple interest formula, you must first convert it to a______.
a)
fraction
b)
decimal
c)
ratio
d)
dollar amount
22.
Write the percent as a decimal.
4.3%
4.3%
a)
4.3
b)
.43
c)
.043
d)
4300
23.
Write the decimal as a percent.
0.37
0.37
a)
37%
b)
3.7%
c)
.37%
24.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
25.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
26.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
27.
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
28.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
29.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
30.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
31.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
32.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
33.
Find the inverse of the equation above:
a)
y= 4x-1
b)
y=x/4+1
c)
y=x/4-1
d)
y=4x-0.25
34.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
35.
Are the following inverses of each other?
a)
True
b)
False
36.
What is the equation that the inverse will reflect across?
a)
y = x
b)
y = 0
c)
x = 0
d)
Potato
37.
Are the following inverse functions?
a)
Yes
b)
No
38.
What is the inverse function of a quadratic (x2)?
a)
A square root function
b)
2x
c)
Another quadratic
d)
A linear function
39.
Change y = ax into log form.
a)
x = logay
b)
y = logax
c)
x = logya
d)
y = log a
40.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
41.
Find the inverse of: y = 7x +6
a)
b)
c)
42.
Find the inverse of :
a)
f(x)-1 = 7x-9
b)
f(x)-1 = 7x - 9
c)
f(x)-1 = 7x+9
d)
f(x)-1 = 7x +9
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