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Benchmark #2 Algebra 1

Total questions: 94

Worksheet time: 3hrs 7mins

Name
Class
Date
1.
This table represents what kind of function?
a)
Linear
b)
Exponential Growth
c)
Exponential Decay
d)
Quadratic
2.

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

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

3.

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

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

4.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

5.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

6.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

7.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

8.

How should this function be classified?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

9.
What type of relationship shown in the table?
a)
Exponential function
b)
Linear function
c)
Quadratic function
10.

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

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

11.

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

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

12.

What comes next?

a)

26

b)

44

c)

23

d)

27

13.

Linear, Quadratic, or Exponential?

a)

Linear

b)

Quadratic

c)

Exponential

14.

What comes next?

a)

22

b)

28

c)

54

d)

36

15.

What comes next?

a)

20

b)

11

c)

29

d)

35

16.

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

17.

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

18.

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

19.

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

20.

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

21.

How should this function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

22.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
23.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
24.

Linear, Quadratic or Exponential?

a)

LINEAR

b)

QUADRATIC

c)

EXPONENTIAL

d)

NEITHER

25.

Linear, Quadratic or Exponential?

a)

LINEAR

b)

QUADRATIC

c)

EXPONENTIAL

d)

NEITHER

26.
Is the table linear or exponential?
a)
Linear
b)
Exponential
27.
Is the equation linear or exponential?
a)
Linear
b)
Exponential
28.
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 
29.
Uber charges an initial fee of $2 plus $0.75 per mile. What type of function is this? 
a)
Linear 
b)
Exponential 
c)
Neither 
30.

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

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

31.

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

32.
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.
33.
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
34.
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)
35.
What is the vertex for
f(x)=4(x-2)2 + 3
a)
(-2, 3)
b)
(2,-3)
c)
(4,3)
d)
(2,3)
36.
What is the axis of symmetry for 
f(x)=4(x-2)2 + 3
a)
4
b)
2
c)
x = -2
d)
x = 2
37.

What is the x-intercept?

a)

(0, 0)

b)

(6, 36)

c)

(12, 0)

d)

None of the above

38.

What is the maximum?

a)

(0, 0)

b)

(6, 36)

c)

(12, 0)

d)

None of the above

39.

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

a)

x-intercept

b)

maximum

c)

interval of increase

d)

interval of decrease

40.

The turning point of a parabola

a)

quadratic function

b)

vertex

c)

domain

d)

range

41.

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

42.
Factor
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
43.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
44.
   Factor: 6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
45.
Factor completely
x2 + 27x - 160
a)
(x+15)(x-14)
b)
(x-5)(x+32)
c)
(x+14)(x-15)
d)
not factorable
46.

2x2−11x =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

47.
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
48.

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

49.
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
50.
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.
51.
The quadratic equation can be used to solve quadratic equations that cannot be factored.
a)
True
b)
False
52.

The discriminant is

a)

ax2 + bx + c

b)

b - 4ac

c)

b2 - 4ac

d)

b2 + 4ac

53.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

54.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

55.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

56.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

57.

What are the solutions to this function?

a)

x={2}

b)

x={2,0}

c)

x={-2}

d)

x={0,-2}

58.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

59.

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

a)

true

b)

false

60.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
61.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
62.
What is another word that describes the zeroes of a quadratic function?  
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
63.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
64.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
65.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
66.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
67.

What are the solutions to this function?

a)

x={2}

b)

x={2,0}

c)

x={-2}

d)

x={0,-2}

68.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

69.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
70.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
71.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
72.
A line about which a figure is symmetric is the:
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
73.
What is the Axis of symmetry?
a)
Y=3
b)
y=-3
c)
x= 3
d)
x=-3
74.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
75.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
76.
Find the axis of symmetry
a)
x = 2
b)
x = 0
c)
x = -1
d)
x = -2
77.
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
78.

The parabola f(x) = x2 - 4x - 8...

a)

Opens upward

b)

Opens downward

c)

Opens left

d)

Opens right

79.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
80.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
81.
What is the name of a polynomial with only one term?
a)
monomial
b)
binomial
c)
trinomial
d)
linear
82.
What is the name of a polynomial with three terms?
a)
monomial
b)
binomial
c)
trinomial
d)
cubic
83.
What is the name of the degree of a polynomial that has an exponent of 3?
( ex. t cubed or  t 3 )
a)
constant
b)
linear
c)
quadratic
d)
cubic
84.
What is the name of the degree of a polynomial that has a variable with invisible exponents?
( ex. n  or  n1 )
a)
constant
b)
linear
c)
quadratic
d)
cubic
85.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

86.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
87.

Distribute and simplify the following expression: 3(4m - 2) - 2(m + 5)

a)

14m - 16

b)

14m + 12

c)

36m + 3

d)

10m - 16

88.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
89.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
90.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
91.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
92.
a)
Function
b)
Not a Function
93.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
94.
What is the axis of symmetry?
f(x) = x2 - 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4

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