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Worksheets4th Nine Weeks Formative Make-up
Total questions: 50
Worksheet time: 4hrs 38mins
Name
Class
Date
1.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
Range: y ≤ -3
2.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds.
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.
3.
What are the zeros for the quadratic function?
a)
(-6, 0) and (14, 0)
b)
(-50, 0) and (14, 0)
c)
(-6, 0) and (-50, 0)
d)
(-50, 0) and (-60, 0)
4.
What is the range for the function below?
a)
y ≤ 4
b)
y ≥ 4
c)
All real numbers
d)
-3 ≤ y ≤ 1
5.
What is the domain of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
6.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
7.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
8.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
9.
What are the solutions to this equation? (x-3)(x+2)=0
a)
x=3,-2
b)
x=-3,2
c)
x=2,3
d)
x=3,2
10.
a)
√3
b)
±√3
c)
-3
d)
No real solution
11.
Solve by completing the square.
x2 + 4x= 12
x2 + 4x= 12
a)
x = 2 and -2
b)
x = -6 and 2
c)
x = 6 and -2
d)
x = 1 and -1
12.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
13.
Solve the equation:
5x2 - 35x + 60 = 0
5x2 - 35x + 60 = 0
a)
x = 3, -4
b)
x = -3, 4
c)
x = 3, 4
d)
x = -3, -4
14.
Solve the equation:
4x2+2x - 6 = 0
4x2+2x - 6 = 0
a)
x = 1 & -1.5
b)
x = -1 & 1.5
c)
x = (-2 ±√92)/8
d)
x = (-2 ± √100)/8
15.
What is the vertex of the graph?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
16.
What should you do first to solve this equation using quadratic formula?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
17.
Solve for x:
(x + 6)2 = 49
a)
x=7,12
b)
x=±7
c)
x=1,-13
d)
x=43,-55
18.
What is this?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
19.
Solve 8x2 - 6x + 1 = 0
a)
No Solution
b)
0 or 1
c)
-0.5 or -0.25
d)
0.25 or 0.5
20.
Solve 2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
21.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
22.
Use the quadratic formula to find the solutions for
y = 2x2 - 9x + 5
a)
-8.14 and 6.14
b)
-4.07 and 3.07
c)
3.9 and 0.6
d)
ZERO solutions
23.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
24.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
25.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
26.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
27.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
28.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
29.
What is the x-intercept of the exponential function?
a)
(0,1)
b)
(0,0)
c)
There is not one
30.
Which of the following is an exponential function?
a)
y = x2
b)
f(x) = 3x3
c)
y = x3
d)
f(x) = 3x
31.
What is the initial value in y=4(2)x
a)
4
b)
2
c)
x
32.
What is the y-intercept in y=4(2)x
a)
(4,0)
b)
(0,2)
c)
x
d)
(0,4)
e)
(4,2)
33.
What is the starting amount in the problem below?
f(t) = 300(1.05)t
a)
300
b)
1.05
c)
t
d)
y
34.
What is the growth rate in the problem below?
f(t) = 300(1.05)t
a)
300
b)
1.05
c)
t
d)
y
35.
Write an equation that models the following situation:
The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.
a)
y= 6500(1+.14)x
b)
y= 6500(1-.14)x
c)
y= 6500(14)x
d)
y= 14(6500)x
36.
Which of the followings functions shows an initial amout of $15 and an increase of 35% ?
a)
y=15(35)x
b)
y=15(1.35)x
c)
y=15(0.35)x
d)
y=35(15)x
37.
What does the y-intercept of the graph represent?
a)
The amount of grams the material is gaining.
b)
The amount of grams the material is losing.
c)
The amount of grams remaining after so many years.
d)
The initial amount of grams.
38.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
39.
Does the graph represent an exponential growth or an exponential decay function?
a)
Exponential Growth
b)
Exponential Decay
40.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
41.
The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)x, where x is the number of days since the decay started. By what percentage is the colony decaying?
a)
87%
b)
13%
c)
800%
d)
8.7%
42.
The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?
a)
After 20 days, there are 49 ants in the colony.
b)
After 49 days there are 20 ants in the colony.
c)
The amount of ants times 20 is 49.
d)
After 20 days the amount of ants remaining decreases by 49.
43.
A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?
a)
$0.29
b)
$2,900,000,000
c)
$46,704.79
d)
$145,000
44.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?
What does the value 12 represent?
a)
The predicted increase in number of elephants in the refuge each year.
b)
The predicted decrease in number of elephants in the refuge each year.
c)
The number of years it will take for the elephant population to stop increasing.
d)
The initial amount of elephants in the park.
45.
Is the graph exponential growth or decay?
a)
Exponential growth
b)
Exponential decay
46.
Which function models this table?
a)
f(x)=2⋅4x
b)
f(x)=4x
c)
f(x)=4⋅2x
d)
f(x)=8x
47.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
48.
What is the range of f(x) = 5x?
a)
-∞ ≤ x ≤ ∞
b)
-∞ ≤ y ≤ ∞
c)
x > 0
d)
y > 0
49.
What is the domain of f(x) = 5x?
a)
-∞ ≤ x ≤ ∞
b)
-∞ ≤ y ≤ ∞
c)
x > 0
d)
y > 0
50.
Given y=3x determine the asymptote
a)
(0,1)
b)
(0,3)
c)
x=0
d)
y=0
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