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A1 Quadratics Review

Total questions: 87

Worksheet time: 3hrs 37mins

Name
Class
Date
1.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

2.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

3.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

4.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

5.

What are the solutions to this function?

a)

x={2}

b)

x={2,0}

c)

x={-2}

d)

x={0,-2}

6.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

7.

Solutions to quadratic equations are the points where the functions intersects the y-axis.

a)

true

b)

false

8.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
9.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
10.
What is another word that describes the zeroes of a quadratic function?  
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
11.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
12.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
13.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
14.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
15.

What are the solutions to this function?

a)

x={2}

b)

x={2,0}

c)

x={-2}

d)

x={0,-2}

16.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

17.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
18.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
19.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
20.
A line about which a figure is symmetric is the:
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
21.
What is the Axis of symmetry?
a)
Y=3
b)
y=-3
c)
x= 3
d)
x=-3
22.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
23.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
24.
Find the axis of symmetry
a)
x = 2
b)
x = 0
c)
x = -1
d)
x = -2
25.
Standard Form of a quadratic equation is y =
a)
(x + a)(a + b)
b)
ax2 + bx + c
c)
(x - h)2 + k
d)
mx + b
26.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
27.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
28.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
29.
A line about which a figure is symmetric is the:
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
30.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

31.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

32.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

33.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
34.

f(x)=x2+7f\left(x\right)=x^2+7  Select all the transformations to the parent function f(x)=x2 based on the equation below:

a)

Shift left 7

b)

Shift right 7

c)

Shift up 7

d)

Shift down 7

35.

What is the VERTEX for this function?

(a)  

36.

What is the equation of the axis of symmetry in this quadratic?

a)

x = 3

b)

x = -3

c)

y = 0

d)

x = 0

37.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
38.
Which best describes the vertex of a parabola?
a)
Any point on the parabola.
b)
A point on the x-axis.
c)
The highest or lowest point of a parabola
d)
A point on the y-axis.
39.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
40.

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

a)

The maximum height of the ball was 2 centimeters.

b)

The maximum height of the ball was 2000 centimeters.

c)

f(1) = 1000

d)

f(4) = 2000

41.
The graph shows the height of a rocket over time. What conclusion can be made about the flight of the rocket?
a)
The rocket reached its maximum height at 4 seconds.
b)
At 0 seconds, the rocket was 3 meters off the ground.
c)
The rocket was in flight for 16 seconds.   
d)
The maximum height of the rocket was 8 meters.
42.
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)
43.

What is the x-intercept?

a)

(0, 0)

b)

(6, 36)

c)

(12, 0)

d)

None of the above

44.

What is the maximum?

a)

(0, 0)

b)

(6, 36)

c)

(12, 0)

d)

None of the above

45.

The x-value when the graph crosses the x-axis

a)

x-intercept

b)

maximum

c)

interval of increase

d)

interval of decrease

46.

The turning point of a parabola

a)

quadratic function

b)

vertex

c)

domain

d)

range

47.

f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c  

a)

quadratic function

b)

vertex

c)

interval of increase

d)

interval of decrease

48.
Factor
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
49.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
50.
   Factor: 6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
51.
Factor completely
x2 + 27x - 160
a)
(x+15)(x-14)
b)
(x-5)(x+32)
c)
(x+14)(x-15)
d)
not factorable
52.

2x211x =62x^2-11x\ =6  
Solve the Quadratic equation using the quadratic formula

a)

6 , 126\ ,\ \frac{1}{2}

b)

6, 126,\ -\frac{1}{2}

c)

6 , 2-6\ ,\ -2

d)

6, 26,\ -2

53.
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
54.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

55.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
56.
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.
57.
The quadratic equation can be used to solve quadratic equations that cannot be factored.
a)
True
b)
False
58.

The discriminant is

a)

ax2 + bx + c

b)

b - 4ac

c)

b2 - 4ac

d)

b2 + 4ac

59.
This table represents what kind of function?
a)
Linear
b)
Exponential Growth
c)
Exponential Decay
d)
Quadratic
60.

Is the table linear, exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

61.

Is the Equation Linear, Exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

62.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

63.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

64.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

65.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

66.

How should this function be classified?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

67.
What type of relationship shown in the table?
a)
Exponential function
b)
Linear function
c)
Quadratic function
68.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

69.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

70.

What comes next?

a)

26

b)

44

c)

23

d)

27

71.

Linear, Quadratic, or Exponential?

a)

Linear

b)

Quadratic

c)

Exponential

72.

What comes next?

a)

22

b)

28

c)

54

d)

36

73.

What comes next?

a)

20

b)

11

c)

29

d)

35

74.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

75.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

76.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. How many rounds of the tennis tournament will be played before there is a champion?

a)

1

b)

7

c)

8

d)

Not enough information

77.

Which function best models the situation: The speed of a roller coaster from start to finish

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

78.

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Which best describes this function?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

79.

How should this function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

80.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
81.

Linear, Quadratic or Exponential?

a)

LINEAR

b)

QUADRATIC

c)

EXPONENTIAL

d)

NEITHER

82.

Linear, Quadratic or Exponential?

a)

LINEAR

b)

QUADRATIC

c)

EXPONENTIAL

d)

NEITHER

83.
Is the table linear or exponential?
a)
Linear
b)
Exponential
84.
Is the equation linear or exponential?
a)
Linear
b)
Exponential
85.
The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this? 
a)
Linear 
b)
Exponential 
c)
Neither 
86.
Uber charges an initial fee of $2 plus $0.75 per mile. What type of function is this? 
a)
Linear 
b)
Exponential 
c)
Neither 
87.

Is this graph Linear, Exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function