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WorksheetsAlgebra 1 EOC Review
Total questions: 121
Worksheet time: 5hrs 20mins
Name
Class
Date
1.
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
2.
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
3.
Classify by degree of polynomial:
3x3 – 6x
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
4.
Classify by degree of polynomial:
2x – 9
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
5.
Classify by degree of polynomial:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
6.
Classify by degree of polynomial:
12
12
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
7.
Simplify:
a)
-5a6 - 5a4
b)
-3a3 - 1a2
c)
-2a3 - 6a2
d)
5a3 - 5a2
8.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
9.
What is the slope?
a)
m= -2/3
b)
m=3/2
c)
m=-3
d)
m=2
10.
Find the slope given the following points: (5,1) and (3,1)
a)
m=1/4
b)
m=0
c)
m=1
d)
m=undefined
11.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
12.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x
d)
y = 3x + 2.50
13.
What is the solution to this system?
a)
(6,0)
b)
(0,6)
c)
(2,4)
d)
(4,2)
14.
Which system has infinitely many solutions?
a)
a
b)
b
c)
c
d)
d
15.
Solve this system using substitution.
a)
(3, -2)
b)
(-2, 3)
c)
(-4/3, 10)
d)
(-8/3, -3)
16.
Which equation would make this system have an infinite number of solutions?
a)
2y = 2x + 2
b)
y - 2 = x
c)
y = 2x
d)
y = 3x - 1
17.
Which equation would make this system consistent and dependent?
2x - y = -4
2x - y = -4
a)
21x = y + 3/2x
b)
42x - 4y = 3
c)
10x - 5y = -20
d)
21x = 2y - 3
18.
Describe the transformation from the graph of f to the graph of g.
f(x)=2x-3
g(x)=f(x)-4
f(x)=2x-3
g(x)=f(x)-4
a)
g is a horizontal translation right 4 units
b)
g is a vertical translation up 4 units
c)
g is a horizontal translation left 4 units
d)
g is a vertical translation down 4 units
19.
What is the linear parent function?
a)
f(x) = x
b)
y = mx + b
c)
f(x) = 2x
d)
f(x) = y
20.
How did the equation shift from the parent function? y=1/2x
a)
Steeper
b)
shift up
c)
Less steep
d)
shift down
21.
Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?
a)
Less steep by 2
b)
Vertical shift up 4
c)
Vertical shift down 4
d)
Steeper by 2
22.
Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee.
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?
a)
A. The initial fee is $10 higher.
b)
B. The initial fee is $10 lower.
c)
C. The monthly fee is $10 higher.
d)
D. The monthly fee is $10 lower.
23.
Find the slope of the line.
a)
Undefined
b)
0
c)
1/1
d)
-1/1
24.
Find the slope of the line.
a)
Undefined
b)
0
c)
1/1
d)
-1/1
25.
Describe the transformation.
f(x + k)
f(x + k)
a)
shifted down (vertical shift down)
b)
shifted left (horizontal shift left)
c)
shifted up (vertical shift up)
d)
shifted right (horizontal shift right)
26.
Describe the transformation.
f(x) - k
f(x) - k
a)
shifted down (vertical shift down)
b)
shifted left (horizontal shift left)
c)
shifted up (vertical shift up)
d)
shifted right (horizontal shift right)
27.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
28.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
29.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
30.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
31.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
32.
If the graph of a quadratic equation does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
33.
Determine the # of real solutions.
x + 2 = -3x2
x + 2 = -3x2
a)
One
b)
Two
c)
Zero
d)
Infinite
34.
Determine the # of real solutions.
12x2 + 12x = -3
12x2 + 12x = -3
a)
0
b)
1
c)
2
d)
4
35.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
36.
If the blue is f(x)=x2, the red must be
a)
g(x)=(x+3)2
b)
g(x)=(x-3)2
c)
g(x)=x2+3
d)
g(x)=x2-2
37.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
38.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
39.
How did the equation shift from the parent function? y=3x-2
a)
vertical shrink and down 2
b)
up 2
c)
down 2
d)
vertical stretch and down 2
40.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
41.
Which of the systems below produces this graph?
a)
y > -4/5x - 1 and y ≤ 2/3x + 3
b)
y ≥ -3/4x - 1 and y ≤ 1/2x + 3
c)
y < -3/4x - 1 and y < 1/2x + 3
d)
y < -4/5x - 1 and y ≥ 2/3x + 3
42.
Match
a)
y < x−2
y < 3
y < 3
b)
y > -x+2
y > 3
y > 3
c)
y < -x+2
y < 3
y < 3
d)
y < -x+2
y > 3
y > 3
43.
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
x + 2y ≥ 4
3x − 2y < 4
Take your time!
a)
(0, 0)
b)
(2, 1)
c)
(2, 2)
d)
(-1, 1)
44.
Tell whether the ordered pair
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6
a)
Yes
b)
No
45.
Which system of inequalities matches the graph?
a)
x> -2
y < -4
y < -4
b)
x< 2
y> 4
y> 4
c)
x > 2
y < 4
y < 4
d)
x > 2
y <- 4
y <- 4
46.
What is the standard form of a quadratic function?
a)
y = mx + b
b)
ax2 + bx +c =0
c)
y = a(x-h)2 + k
d)
x2+x+c=0
47.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
48.
If the discriminant is negative, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solutions
49.
If the discriminant is positive, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
50.
John hits a fly ball into the air. The ball reaches a maximum height of 200 ft after 4 seconds. What is a reasonable domain of the fly ball?
a)
All real numbers between 0 feet and 200 feet
b)
All real numbers between 0 feet and 400 feet
c)
All real numbers between 0 seconds and 4 seconds
d)
All real numbers between 0 seconds and 8 seconds
51.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
52.
What is the axis of symmetry of y=2x2-4x+9?
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
53.
Domain?
a)
(-infinity, 4)
b)
(4, infinity)
c)
(0, infinity)
d)
All real numbers
54.
Range?
a)
(-infinity, 4)
b)
(4, infinity)
c)
(0, infinity)
d)
All real numbers
55.
Convert the equation y= 8x2-16x+27 into vertex form.
a)
y=8(x+1)2+19
b)
y= -8(x-1)2+19
c)
y=8(x-1)2+19
d)
y=(x-1)2+8
56.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
57.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
58.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
59.
Which formula is used to find the explicit equation for arithmetic sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
60.
Which formula is used to find the recursive equation for arithmetic sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
61.
Which formula is used to find the explicit equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
62.
Which formula is used to find the recursive equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
63.
Sweet Time Bakery just opened and is increasing the number of items they bake. For example, the bakery made 150 carrot cakes in January, 133 carrot cakes in February, 116 carrot cakes in March, and 99 carrot cakes in April. What kind of sequence is this?
a)
Geometric
b)
Arithmetic
c)
Both
d)
Neither
64.
Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?
a)
Geometric
b)
Arithmetic
c)
Both
d)
Neither
65.
How many students received a score of 94%?
a)
94
b)
4
c)
1
d)
2
66.
How many students received a score in the 80's?
a)
2
b)
10
c)
14
d)
27
67.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
68.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
69.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
70.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
71.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
72.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
73.
What is the Normal Range of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
a)
26-32
b)
3-29
c)
26-29
d)
39-32
74.
If a number is added to a set that is far away from the mean, how does this affect standard deviation?
a)
increase
b)
decrease
c)
stay the same
d)
both increase and decrease
75.
If a number is added to the set that is in the middle of the data, how does this affect the range?
a)
increase
b)
decrease
c)
stay the same
d)
both increase and decrease
76.
If 10 is added to every value in a set of data, what will happen to the value of the standard deviation?
a)
it will increase
b)
it will decrease
c)
it will stay the same
d)
it will both increase and decrease
77.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?
a)
1084 to 1216 pounds
b)
1106 to 1150 pounds
c)
1106 to 1194 pounds
d)
1128 to 1172 pounds
78.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
79.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
80.
What type of correlation does this graph have?
a)
Negative
b)
no association
c)
positive
81.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
82.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
83.
What is the line of best fit?
a)
y = 5/3x + 375
b)
y = 1/3x + 475
c)
y = 5/3x + 3
d)
y = 1/3x + 375
84.
What does the value, r= -0.89, tell us about the linear relationship of two quantitative variables?
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
85.
Determine the correlation coefficient of the given data:
a)
.9820
b)
-.9643
c)
1.409
d)
.6864
86.
Shape?
a)
Skewed right
b)
Skewed left
c)
Symmetric
d)
Normal
87.
predicted math grade = 65 + 2.56(study hours)
What does the slope mean in context?
a)
The model predicts an increase of 2.56 points in the math grade per hour studied, on average.
b)
The model predicts an increase of 65 points in the math grade per hour studied, on average.
c)
The model predicts an increase of 2.56 study hours per math grade, on average.
d)
The model predicts an increase of 2.56 study hours, on average.
88.
What should a residual plot look like?
a)
Distinct Pattern
b)
Curve
c)
Random
89.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200
90.
What is the relative frequency of people that purchased no food?
a)
10%
b)
60%
c)
15%
d)
30%
91.
The table shows the different types of engineers and the subject they liked most. What percentage of people surveyed were chemical engineers who preferred math?
a)
16.5%
b)
33.1%
c)
17.6%
d)
15.5%
92.
What is the relative frequency of students speaking German?
a)
7%
b)
1%
c)
100%
d)
12%
93.
A graph that shows the relationship between two data sets where the two sets of data are graphed as ordered pairs.
a)
Scatter Plot
b)
Bivariate Data
c)
Joint Frequency
d)
Graph
94.
A line drawn on a scatter plot that is close to most of the data points.
a)
Best fitting line
b)
Best Linear Line
c)
Line of best fit
95.
Data for two variables.
a)
Brivariate Data
b)
Brovariate Data
c)
Bivariate Data
d)
Divariate Data
96.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
97.
What type of function is
y = 7(5/4)x?
y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
98.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(.97)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1.03)x
d)
f(x)=400(0.03)x
99.
A new savings account is opened with $1500 and gains 1.5% annual interest. What is the exponential function?
a)
f(x)=1500(1+ 0.15)x
b)
f(x)=1500(1.015)x
c)
f(x)=1500(1.00375)x
d)
f(x)=1500(1.5)x
100.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
101.
What is a, the initial amount, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
102.
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
103.
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
104.
a)
The function does not change by equal factors over equal intervals. The function is an exponential function.
b)
The function does not change by equal factors over equal intervals. The function is not an exponential function.
c)
The function changes by equal differences over equal intervals. The function is an exponential function.
d)
The function changes by equal factors over equal intervals. The function is an exponential function.
105.
Is this a function?
a)
Yes
b)
No
106.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
107.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a function
108.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
109.
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
110.
Which function is linear?
a)
Y
b)
Z
c)
Both Y & Z
d)
Neither Y nor Z
111.
Which function has the GREATER rate of change?
a)
A
b)
B
c)
A and B have the same rate of change
112.
a=3p+1
solve for p
solve for p
a)
p=3a+1
b)
p=(a+1)/3
c)
p=(a-1)/3
d)
p=a+3
113.
Solve for w.
a)
F
b)
G
c)
H
d)
I
114.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
115.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
116.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
117.
Solve the Equation.
2(n + 1) + 1 = (n – 5) + (n – 2)
2(n + 1) + 1 = (n – 5) + (n – 2)
a)
n = -1
b)
n = 0
c)
No Solution
d)
All Real Numbers
118.
Find the perimeter of the rectangular garden drawn.
a)
2x + 2
b)
x + 1
c)
6x + 2
d)
x2 – 20
119.
Which point is on the line x = 8?
a)
(1,
8)
b)
(0,
8)
c)
(8,
15.2)
d)
(-8,
0)
120.
Which point is NOT on the graph of
2x + 4y = 12?
2x + 4y = 12?
a)
(-4, 5)
b)
(-6, 4)
c)
(0, 3)
d)
(5, 0.5)
121.
Monica’s exercise routine includes stretching, walking, and jogging. This graph illustrates her exercise routine. Between which 2 points is Monica stretching?
a)
A to B
b)
B to C
c)
C to D
d)
A to D
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