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M1 Unit 5 Review (Quadratics)

Total questions: 90

Worksheet time: 5hrs 45mins

Name
Class
Date
1.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
3.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(0, 7)
d)
(0, -7)
4.
What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
5.
What is the range of this function?
a)
(- ∞,+∞)
b)
[0, +∞)
c)
[-2, +∞)
d)
[2, +∞)
6.
Find the missing value "c" to create a perfect square trinomial:
x2 – 8x  + ___ 
a)
-4
b)
16
c)
4
d)
8
7.

Which equation is the standard form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = a(x - m)(x - n)

c)

f(x) = ax2 + bx + c

d)

f(x) = a(x - h)2 + k

8.

What do you check FIRST before you can start factoring?

a)

If there is a GCF

b)

What the a value is

c)

All terms are combined

d)

Zero Product Property

9.
What does it mean to "find the zeros" of a quadratic?
a)
Plug in 0 and solve the expression.
b)
Factor then set each factor equal to zero and solve to find x-intercepts
c)
Set the expression equal to zero and solve 
d)
Factor then set each factor equal to zero and solve to find y-intercepts
10.

What should you do first in solving this equation?
x2+6x−13=3x^2+6x-13=3  

a)

Write down:  a=1x2, b=6x, c=−13a=1x^2,\ b=6x,\ c=-13  

b)

Write down:  a=1, b=6, c=−13a=1,\ b=6,\ c=-13  

c)

Make it equal 0 by subtracting 3 on each side

d)

Make it equal 0 by adding 3 on each side

11.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
12.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
13.
What is another word that describes the zeroes of a quadratic function?  
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
14.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
15.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
16.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

17.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

18.

What is the quadratic formula?

a)
b)
c)
d)
19.

What is the axis of symmetry formula?

a)

y = mx+b

b)

y = ax2+bx+c

c)

b2 - 4ac

d)

x = -b/2a

20.

Solve the equation using the quadratic formula.


4x2 +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

21.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
22.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
23.

What number follows 20 in this arithmetic sequence?

8,11, 14, 17, 20

a)

5

b)

23

c)

26

d)

29

24.

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

a)

yes, 2

b)

yes, -2

c)

yes, 4

d)

no

25.

What is the fifth term of the geometric sequence?

5, 15, 45,...

a)

135

b)

1875

c)

1215

d)

405

26.

What is the difference between an arithmetic sequence and a geometric sequence?

a)

One is the sum of the numbers and one is just a list of numbers.

b)

One has a common difference and one has a common ratio.

c)

One you can write an nth term and one you cannot.

d)

None of these are correct.

27.

A formula that requires the computation of all previous terms to find the value of an.

a)

Explicit Formula

b)

Recursive Formula

c)

Arithmetic Formula

d)

Geometric Formula

28.

What does a1 represent?

a)

Any term

b)

First term

c)

Last term

29.

Find a4a_4  for the sequence 2, 9, 16, 23, 30,...

a)

16

b)

23

c)

4

d)

30

30.
What is the recursive rule for the sequence:
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x 2
c)
an = 11(2)n-1
d)
an = 2an-1
31.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
32.
What does the model P=A(1+r)t best represent?
a)
Exponential growth
b)
Simple Interest
c)
Compound Interest
d)
Exponential Decay
33.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
34.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
35.
What is the decay rate in the following model?
A=1200(.85)6
a)
-1200
b)
-.15
c)
6
d)
-6
36.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
37.
What is a, the initial amount, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
38.
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
39.
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
40.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
41.
What was the average rate of change in the population from 1900 to 1990?
a)
175 million people/year
b)
1.94 million people/year
c)
2.13 million people/year
d)
-1 million people/year
42.

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

a)

the first hour to the second hour

b)

the second hour to the fourth hour

c)

the sixth hour to the eighth hour

d)

the eighth hour to the tenth hour

43.

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

a)

2/3 in.

b)

2 in.

c)

3 in.

d)

6 in.

44.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
45.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
46.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
47.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
48.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
49.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
50.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
51.
What is the formula to find the vertex of a parabola?
a)
x = -b/2
b)
x = -b
c)
x = -b / (2a)
d)
x = -b / 2
52.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
53.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
54.
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
55.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
56.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
57.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
58.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
59.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
60.

Identify the 'b' value: y = 16x2 -8x -24

a)

16

b)

-8

c)

8

d)

-24

61.
What is the axis of symmetry of:y=2x2-4x+9
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
62.
What is the y-intercept of: y=7x2+2x -1
a)
(0, 1)
b)
(0, -1)
c)
(1, 0)
d)
(-1, 0)
63.

Find the Vertex: y= x2 +6x + 4

a)

(-3, -5)

b)

(5, 3)

c)

(3, 5)

d)

(5, -3)

64.

Find the Axis of Symmetry (just x) : y= -2x2 + 8x -5

a)

x = -3

b)

x= 2

c)

x =4

d)

x = -2

65.

Find the Axis of Symmetry: y= x2 -2x

a)

x = 2

b)

x =1

c)

x = -1

d)

x = 5

66.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
67.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
68.
What is the vertex?
a)
(5,2)
b)
(2,5)
c)
(-2,5)
d)
(-5,2)
69.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
a)
-8
b)
3
c)
7
d)
-7
70.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
71.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
72.
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. 
73.
Which of the following describes the graph of f(x)= x2 - 2x -15.
a)
The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
b)
The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
c)
The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
d)
The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)
74.
Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?
a)
f(x)= -(x-4)2+7
b)
f(x)= (x+4)2+7
c)
f(x)= -(x+4)2+7
d)
f(x)= (x-4)2+7
75.
What is the solution set for the quadratic function? 
a)
{-1.4, 4.2}
b)
{-1.4}
c)
{4.2}
d)
{1.5}
76.
How does the graph of g(x)=3x2 compare to the quadratic parent function f(x)=x2 ?
a)
The graph of g(x) is wider than the graph of f(x).
b)
The graph of g(x) is narrower than the graph of f(x).
c)
The graph of g(x) is translated up 3 units above f(x).
d)
The graph of g(x) is translated down 3 units below f(x).
77.
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)
78.
What is the range for the function below? 
a)
y ≤ 4
b)
y ≥ 4
c)
All real numbers
d)
-3 ≤ y ≤ 1
79.
A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t2 + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 
a)
10 feet 
b)
19 feet
c)
13 feet
d)
16 feet 
80.

A quadratic function has zeros -7 and 9.

What are the linear factors of the function?

a)

(x+7) (x-9)

b)

(x-7) (x+9)

c)

(x+7)(x+9)

d)

(x-7)(x-9)

81.

What is the axis of symmetry for the following equation?

y=4x2-8x+9

a)

x = 5

b)

x=1

c)

y = 1

d)

y = 5

82.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
83.

Use the graph to determine the solutions of the equation

0 = x2 - 5x + 1

a)

0 and 5

b)

0.5 and 4.5

c)

0.2 and 4.8

d)

1 and 7

84.

Which function best models the data in the given table?

a)

y = -3x + 9

b)

y = 4x2 - 3x + 1

c)

y = 5.2(.75)x

d)

y = -3x2 + 4x + 1

85.
What should you do first in solving this equation?
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.
86.
What is this formula?
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.
87.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
88.
Determine the values of
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
89.
If the a value is positive, which direction does the graph open?
a)
up
b)
down
c)
left
d)
right
90.
Solve.
3x2 - 192 = 0
a)
-32 or 32
b)
No Solution
c)
-8 or 8
d)
-64 or 64

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