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2023 EOC Practice

Total questions: 100

Worksheet time: 6hrs 11mins

Name
Class
Date
1.
Is the solution below correct?
5d = 2d - 18
-2d   -2d
3d = -18
d = 6
a)
Yes
b)
No
2.
Solve for the indicated variable.
a)
A = l/w
b)
w = l/A
c)
w = A
d)
w = A/l
3.
What is the first step in solving this equation?
5(2x - 1) + 7 = 4x + 11
a)
Combine like terms
b)
Use the distributive property to get rid of the parenthesis
c)
Add 7 & 11
d)
Add 2x & 4x
4.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
5.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
6.
Find the product. 
(m-8)(m-9)
a)
m2-17m+72
b)
m2-17m-72
7.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
8.
A cup is filled with 100 ml of water. Every second, 2 ml of water are poured out of the cup.  Which function shows the amount of water in the cup after t seconds?
a)
w(t) = 100 + 2t
b)
w(t) = 100 - 2t
9.
Factor the following polynomial:
x2+5x+6
a)
(x+6)(x+1)
b)
(x+3)(x+2)
10.
What is the shape of this data?
a)
Negatively Skewed
b)
Positively Skewed
c)
Normal Distribution
d)
Paranormal Distribution
11.
Carlos is working at the grocery store at $10.50 an hour to earn money for tuition. So far he has saved $450. Tuition is due soon and will cost at least $980. Let x be the number of hours that Carlos spends working. Write an inequality that could be used to find x. 
a)
10.5x-980<450
b)
10.5x+980>450
c)
10.5x+450>980
d)
10.5x-450>980
12.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
13.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
14.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
15.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
16.
What is the balance of $6000 compounded annually at a rate of 4% for 10 years?
a)
$8,881.47
b)
$7,432.93
c)
$8,400
d)
$6,500
17.
What is the explicit rule for the sequence:
11, 22, 44, 88...
a)
gn = 2(11)n-1
b)
gn = 11x2
c)
gn = 11(2)n-1
d)
gn = 11+(2)n-1
18.
If 5 times a number increased by 30 is 15, what is the number?
a)
-15
b)
-3
c)
3
d)
9
19.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
20.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
21.
Write the recursive formula for 4, 8, 12...
a)
an=an-1-7
b)
an=an-1-4
c)
an=an-1+3
d)
an=an-1+4
22.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
23.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
24.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
25.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  When does the rocket hit the ground?
a)
7 seconds
b)
6 seconds
c)
3 seconds
d)
8 seconds
26.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  When does the maximum height occur?
a)
6 seconds
b)
3 seconds
c)
145 seconds
d)
160 seconds
27.
A ball is thrown vertically into the air.  Its height in feet after t seconds is given by the equation h(t) = –5t2 + 20t, and is graphed below.  How high will the balloon be after 3 seconds?
a)
20 ft
b)
15 ft
c)
5 ft
d)
10 ft
28.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
29.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
30.
What is the range of this function?
a)
all real numbers
b)
x > 0
c)
y > -2
d)
x < 6
31.
What is the range of this quadratic function?
a)
x >  0
b)
all real numbers
c)
x < 5
d)
y < 4
32.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
33.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
34.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
35.
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
d)
y=6(0.86)x
36.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
37.
What is the vertex form for a vertex of (-3,-5) and when a=-2?
a)
y = -2(x-3)2+5
b)
y = -2(x+3)2+5
c)
y = -2(x+3)2-5
38.
What is the axis of symmetry of the given function?
a)
y = 1
b)
y = -1
c)
x = 1
d)
x = -1
39.
What is the constant that should be added to the expression to complete the square: x2+16x
a)
16
b)
8
c)
64
d)
32
40.
What equation represents the quadratic function?
a)
y = (x - 4)2
b)
y = (x + 4)2
c)
y = x2 - 4
d)
y = x2 + 4
41.
What equation represents the quadratic function?
a)
y = (x - 8)2
b)
y = (x + 8)2
c)
y = x2 - 8
d)
y = x2 + 8
42.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
43.
Solve using square roots.
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
44.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
45.
Factor 
3x2 + 2x - 21
a)
A. (3x + 7)(x - 3)
b)
B. (3x - 7)(x + 3)
c)
C. (3x - 7)(x - 3) 
d)
D. (3x + 7)(x + 3) 
46.
a)
A
b)
B
c)
C
d)
D
47.

TRY WITHOUT CALCULATOR!!!

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

48.

TRY WITHOUT CALCULATOR!!!

Simplify: 3√250

a)

15√10

b)

5√250

c)

8√10

d)

15√3

49.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
50.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
51.
Which system of linear inequalities is represented by the graph?
a)
y≤2x-1
y>-2x+3
b)
y>2x-1
y≤-2x+3
c)
y<2x-1
y≥-2x+3
d)
y≤2x-1
y>2x+3
52.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
53.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
54.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
55.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
56.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
57.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
58.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
59.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
60.
Write the equation of the line with slope = 5 and that goes through point (3, -5)
a)
y = 5x - 5
b)
y = 5x - 20
c)
y = 5x + 20
d)
y = 5x + 15
61.
Write the equation of the line that goes through the points (4, 7) and (0, -5)
a)
y = 1/3x + 7
b)
y = 3x + 7
c)
y = 1/3x - 5
d)
y = 3x - 5
62.
Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?
a)
n + (3n - 4) = 100
b)
n - (3n - 4) = 100
c)
n + (4 - 3n) = 100
d)
4 - 3n = 100
63.
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
a)
A fee charged for an inactive account
b)
The percent of money in the account after x years
c)
The amount of money in the account initially
d)
The amount of money in the account after x years
64.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
65.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
66.

What dashed line is the asymptote of the graph?

a)

Line q

b)

Line r

c)

Line s

d)

Line t

67.

Based on the graph, which statement does not appear to be true?

a)

The coffee company had opened 400 stores by the end of 1992.

b)

The coffee company opened 100 stores in one year.

c)

Every year the number of stores the coffee company opened increased by 25%

d)

Since 1992 the coffee company has opened 250 stores each year

68.

Based on the information in the graph, which conclusion appears to be true?

a)

The car lost about one-half of its value every three years.

b)

The car lost about one-quarter of its value every year.

c)

The car lost less of its value between years 9 and 10 than between 1 and 2.

d)

The car lost more of its value between years 9 and 10 than between years 1 and 2.

69.

Which expression is equivalent to 6x2 + 13x + 5?

a)

(2x + 5)(3x - 1)

b)

(2x - 5)(3x + 1)

c)

(2x + 1)(3x + 5)

d)

(2x - 1)(3x - 5)

70.

What is the zero of the line?

a)

-8

b)

-3

c)

-9

d)

-6

71.

Which graph represents the linear function -3x + 5y = -15?

a)
b)
c)
d)
72.

What system of equations is best represented by this graph?

a)
b)
c)
d)
73.

Which value of x satisfies the equation 5(2x - 9) + 3 = -7?

a)

x = -1/10

b)

x = 5 1/2

c)

x = 2 3/10

d)

x = 3 1/2

74.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

75.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

76.

Who has the greater rate of change (slope)?

a)

Smith has the greater rate of change with 5/4

b)

Harmon has the greater rate of change with 7/2

c)

Smith has the greater rate of change with 4/5

d)

They have the same rate of change.

77.

Which pizza place has the best starting salary?

a)

Bombino's

b)

Little Squeezers

c)

Pizza Tent

78.

How much will you pay Store A per week for a phone?

a)

$25

b)

$150

c)

$15

d)

$50

79.

Who has the greater y-intercept?

a)

Tyler has the higher y-intercept.

b)

Aubri has the higher y-intercept.

c)

They have the same y-intercept

80.

Equation A: y = 2x - 3

Equation B: y = 2x

Which equation has the larger y-intercept?

a)

Equation A

b)

Equation B

c)

They have the same y-intercept

81.

Which statement below is TRUE regarding the two functions?

a)

Both functions are linear

b)

Both functions are increasing

c)

Both functions have a y-intercept of 1

d)

Both functions are exponential growth

82.

Which statement is true?

a)

A

b)

B

c)

C

d)

D

83.

Jason invested money into two different accounts. He deposited $75 into the first account which earns 6% interest annually. The value of the second account after different amounts of time is shown in the table.


Which statement is true?

a)

Jason started with $4 less in the second account than the first account.

b)

Jason started with $5 less in the second account than the first account.

c)

Jason started with $4 more in the second account than the first account.

d)

Jason started with $5 more in the second account than the first account.

84.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
85.

Convert 62 miles/hour to feet/second

a)

5,456 feet/second

b)

.003 feet/second

c)

90.9 feet/second

d)

909 feet/second

86.

Convert 300 feet/hour into inches/seconds

a)

10

b)

100

c)

1000

d)

1

87.

(4x3-5x2+3x)+(-2x3-x2+6x)

a)

2x3-6x2-9x

b)

2x3+6x2+9x

c)

-2x3-6x2+9x

d)

2x3-6x2+9x

e)

None of these

88.

Find the sum.

(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)

a)

3y3 + 7y2 - 4y + 3

b)

4y2 + 3y3 - y + 3

c)

-y4 + 2y3 -y - 4

d)

4y3 + 3y2 -3y + 1

e)

None of these

89.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
90.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
91.

TRY WITHOUT CALCULATOR!!!

Simplify: √10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

92.

TRY WITHOUT CALCULATOR!!!

Simplify 3√2 - 3√18

a)

 -4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

93.

TRY WITHOUT CALCULATOR!!!

Simplify -2√5+3√20

a)

-2√8

b)

-6√36

c)

-6√-12

d)

 4√5

94.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
95.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
96.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
97.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
98.
f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 
a)
14x-10
b)
-8x+2
c)
2x+2
d)
2x-2
99.

Given f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find f(x)+g(x)

a)

11x2 - 1

b)

5x4 + 6x2 - 1

c)

5x2 + 6x - 1

d)

5x2 + 8x - 1

100.

Which of the following lines represents the regression line for the scatter plot?

a)

A

b)

B

c)

C

d)

D

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