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Worksheets

EOC Prep Warm Up

Total questions: 100

Worksheet time: 4hrs 14mins

Name
Class
Date
1.

Which of the following operations are polynomials always closed under? Select ALL the APPLY

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

2.

Which of the following operations are polynomials always closed under? Select ALL the APPLY

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

3.

Which of the following operations are polynomials always closed under? Select ALL the APPLY

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

4.

Which of the following operations are polynomials always closed under? Select ALL the APPLY

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

5.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

6.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

7.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

8.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

9.

Which of the following best completes the following statement below?


Polynomials are closed under some operations (Addition, Subtraction & multiplication) because the result (the answer) of those operations...

a)

Will NEVER be a polynomial

b)

Will ALWAYS be a polynomial

10.

Which of the following best completes the following statement below?


Polynomials are closed under some operations (Addition, Subtraction & multiplication) because the result (the answer) of those operations...

a)

Will NEVER be a polynomial

b)

Will ALWAYS be a polynomial

11.

Which of the following best completes the following statement below?


Polynomials are closed under some operations (Addition, Subtraction & multiplication) because the result (the answer) of those operations...

a)

Will NEVER be a polynomial

b)

Will ALWAYS be a polynomial

c)

Will SOMETIMES be a polynomial

12.
Is the graph pictured a function?
a)
Yes
b)
No
13.
a)
Function
b)
Not a Function
14.
a)
Function
b)
Not a Function
15.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
16.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
17.
Is the graph pictured a function?
a)
Yes
b)
No
18.

What is f(4) for this graph?

Hint: This is another way of saying, "what is the y -value...when x = 4"

a)

0

b)

1

c)

-4

d)

4

19.

What is f(4) for this graph?

Hint: This is another way of saying, "what is the y -value...when x = 4"

a)

0

b)

1

c)

-4

d)

4

20.

What is f(4) for this graph?

a)

0

b)

1

c)

-4

d)

4

21.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

After 4 weeks the plant is 5 inches tall

22.

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

a)

After 4 hours of work, Derek makes $37.

b)

After working for 4 days, Derek makes $37 total.

23.

Which graph represents a function?

a)
b)
c)
d)
24.

Select the systems that have the same solution/is equivalent as the following system below.


x + y = 11

2x + y = 5

a)

2x + 2y = 22

6x + 3y = 15

b)

5x + 5y = 11

2x + y = 19

25.

Select the system that have the same solution as the following below.

HINT: Remember you can add them together to make equivalent systems.

5x + y = 9

10x + 7y = 3

a)

15x + 8y = 12

20x + 14y = 6

b)

10x +2y = 18

-10x - 7y = 3

26.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
27.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
28.

Which point below is NOT part of the solution set?

Hint: Which one is NOT in the shaded area?

a)

(0, 0)

b)

(-3, 6)

c)

(3, 5)

d)

(4, -2)

29.

Which of the following equations match the given graph?


Hint: Use the y-intercept and if it is shaded above/below the line to help you find your answer.

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

30.

SELECT ALL the ordered pairs that ARE solutions to the following inequality represented on the graph.


Hint: Which ones are in the shaded area?

a)

(0, 0)

b)

(3, 6)

c)

(3, -6)

31.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
32.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have different slopes.

33.

When you graph the exact same equation twice,

a)

you will have infinite solutions.

b)

you will have one solution.

34.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
35.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
36.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
37.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
38.

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

a)

One

b)

Two

c)

Three

39.

What are the solutions to the system of equations graphed below?

a)

(2, 0)

b)

(0, 4)

c)

(-2,0)

40.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

41.

Which point is a solution to the system of equations ?

a)

(0,3)

b)

(5,0)

c)

(8,9)

42.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

43.

How many solutions does this system of equations have?

a)

one solution

b)

no solution

44.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
45.

Could you eliminate RIGHT AWAY to solve this system?


4x + 4y = 4

-3x - 4y = -10

a)

Yes, you can ADD right away b/c you have MOCS (Matching opposite coeffects)

b)

No, you'd have to multiply one of them to create MOCS

46.

Could you eliminate RIGHT AWAY to Solve this system:?

x + 6y = 17

x - 3y = 8

a)

YES, b/c you have MOCS (Matching opposite coefficients)

b)

No, you should multiply the bottom on by 2 to create MOCS then you could ADD/Eliminate

47.

What could you multiple one of the equations by to create MOCS so you could eliminate?

x + 4y = –3

x + 7y = –12

a)

Top one by -1 so the x's cancel out

b)

Bottom one by 2 so the x's cancel out

48.

What could you multiply one of the equations by so you could create MOCS so you could ELIMINATE/solve this system?


3x + 12y = −1

4x + 3y = 0

a)

Multiply the BOTTOM one by -4, so the y's cancel out.

b)

Multiple the BOTTOM one by 4, so the y's cancel out

49.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
50.

What is b, the common ratio, for the function: f(x) = 300(1.16)x?

a)

300

b)

1.16

51.

Which of the following functions shows an initial amount of $15 and an GROWTH of 35% each year?

a)

y = 15(0.65)x

b)

y = 15(1.35)x

52.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
53.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
54.
Is this exponential growth or decay?
a)
Growth
b)
Decay
55.
Is this exponential growth or decay?
a)
Growth
b)
Decay
56.
Is this exponential growth or decay?
a)
Growth
b)
Decay
57.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
58.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
59.
Is y = 4(.20)x growth or decay?
a)
Growth
b)
Decay
60.

Is y = 5(1.04)x growth or decay?

a)

Growth

b)

Decay

61.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)x

b)

y=6(1+14)x

c)

y=6(1.14)x

62.

Which of the following functions shows an initial amount of $15 and an DECAY of 25% each year?

a)

y = 15(0.75)x

b)

y = 15(0.25)x

63.

Write in exponential form

∛x⁷

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

x⁷∕ ³

b)

x3⁄7

64.

Rewrite the following

∛x5

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

x3/5

b)

x5/3

65.

Write in exponential form

∜(3x)³

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

3x³⁄ ⁴

b)

(3x)³∕ ⁴

66.

Rewrite the expression using a radical exponent:

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

x43x^{\frac{4}{3}}

b)

x34x^{\frac{3}{4}}

67.

Rewrite the expression using a radical exponent:

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

x34x^{\frac{3}{4}}

b)

x43x^{\frac{4}{3}}

68.

Rewrite the expression using a radical exponent:

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

x32x^{\frac{3}{2}}

b)

x23x^{\frac{2}{3}}

69.

Rewrite the radical exponent:

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

 5x\ ^5\sqrt{x}

b)

 1x5\ ^1\sqrt{x^5}  

c)

  6x\ ^{\ 6}\sqrt{x}  

70.

Rewrite the radical exponent:

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

 x\ \sqrt{x}

b)

 1x2\ ^1\sqrt{x^2}

71.

Rewrite the radical exponent:

Hint: Remember POWERROOT= x56= x56\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}  

a)

 x\ \sqrt{x}

b)

 1x3\ ^1\sqrt{x^3}

c)

  3x\ ^{\ 3}\sqrt{x}

72.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

73.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
74.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
75.
What is the y-intercept in the equation?
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
76.

Write the equation of the line.

Hint: THink of Mr. SLOPE

a)
y = -1/3x - 2
b)
y = 1/3x - 2
77.

Write the equation of the line.

Hint: Think of Mr. Slope

a)
y= -3x-1
b)
y= -3x-3
78.

The quadratic equation x2 + 16x + 15 was factored to (x + 1)(x + 15)

What are the ZEROS?

a)

x = 1 & x = 15

b)

x = -1 & x = -15

79.

The quadratic equation x2 - 10x + 24 was factored to

(x - 4)(x - 6)

What are the ZEROS?

a)

x = 4 & x = 6

b)

x = -4 & x = -6

80.

What are the factors of x2 - 8x - 48

a)
(x-12)(x+4)
b)
(x-12)(x-4)
81.

Factor:

x2 - 10x - 24

HINT: What two #s multiply to give your "c" and ADD to give you "b"

a)

(x - 12)(x + 2)

b)

(x + 6)(x - 4)

82.

Factor: x2 - 14x + 24

HINT: What two #s multiply to give your "c" and ADD to give you "b"

a)
(x - 12)(x - 2)
b)
(x - 6)(x - 4)
83.

When did the ball reach its maximum height? Choose the key feature and the answer.

a)

y-intercept, 3 secs

b)

x-value of the vertex, 4 secs

84.

How high was the ball when it was initially thrown? Choose the key feature and the answer.

a)

y-intercept, 3 feet

b)

x-value of the vertex, 4

c)

y-value of the vertex 5

85.

What was the height of the ball at 1 second?

a)

4 feet

b)

5 feet

86.

Approximately when did the ball hit the ground?

a)

8.25 seconds

b)

10.25 seconds

87.

What key feature tells the initial height of the roller coaster?

a)

y-intercept

b)

vertex

88.

What key feature tells the lowest point on the roller coaster?

a)

vertex

b)

Axis of Symmetry

89.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
90.

Use the graph to determine the X-intercepts

a)

(1,0) and (3,0)

b)

(0,1) and (0,3)

91.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
92.

Name the vertex to the given quadratic graph

a)

(2,3)

b)

(3,2)

93.
Use the picture to find  the vertex and axis of symmetry
a)
 Vertex (3,8) Axis x=3
b)
Vertex (8,3) Axis x=3
94.
The x-intercepts of a quadratic equation are known as the _____.
a)
vertices
b)
squares
c)
zeros
95.

What are the zeros?

HINT: You only do the opposite when they are written in ()...(x-8), zero is x = 8

a)
x= 0 and x= -4
b)
x= 0 and x= 4
96.

Which equation represents the graph?

HINT: Remember OPPOISITE

a)

y = (x -1)(x+3)

b)

y = (x + 1)(x - 3)

97.

What is the discriminant in the Quadratic Formula?

a)

b - 4ac

b)

-b2 - 4ac

c)

b2 - 4ac

98.

If the discriminant is positive, how many solutions does the graph have?

a)

2

b)

1

c)

0

99.

If the discriminant is negative, how many solutions does the graph have?

a)

2

b)

1

c)

0

100.

If the discriminant is zero, how many solutions does the graph have?

a)

2

b)

1

c)

0