Algebra 1 EOC
Study Guide
General Notes
This document is not state (OSPI) created or approved. This was developed using resources created by OSPI, the
Seattle School District, the Bainbridge Island School district, and NSD. It has been designed to help students
prepare for taking the Algebra 1 EOC.
This is not an exhaustive sampling of EOC Exam test items. Rather it is intended to give students an idea of what
their level understanding is for the Performance Expectations assessed on the state EOC.
Information about the EOC Assessment
The format of the exam questions will be: 29 multiple choice, 5 completion items, and 3 short answers.
A graphing calculator can be used for all questions and will be cleared at the start of the exam.
A formula sheet and graph paper will be provided in the test booklet.
The formula sheet is provided on the next two pages of this document.
There will be a total of 37 questions on the Year 1 Retake Exam.
The following gives the strands to be assessed along with the estimated number of questions for each strand.
End-of-Course Exam Items
Number, Operations, Expression, and Variables
Function Characteristics
Linear Equations & Inequalities
Data and Statistics
Estimated Number of Questions (37 questions)
6-8
11 - 13
11 - 13
6-8
Organization of the Study Guide
The study guide has been organized by using the strands given in the previous table. The number of test items for
each strand is shown to help guide your study priorities.
For each strand, you will find the specific state Performance Expectations that will be assessed for graduation. You
will find the following information for each Performance Expectation:
o The problem number(s) from the companion Practice Test that is aligned with this particular Performance
Expectation
o Sample Questions for each objective
o Additional Practice Problems that can be found at www.interactmath.com
Using the Interact Math Website:
This website has practice problems that match our curriculum To use this site, you need to
1. Go to www.interactmath.com
2. Select Enter at the top of the page.
3. Select “Prentice Hall Algebra 1© 2011 from the drop down menu
4. Select Submit
5. You will then be able to select the chapter and exercises that match those listed on this guide.
Northshore School District Jan. 3, 2011
Algebra 1 EOC
Study Guide
Northshore School District Jan. 3, 2011
Algebra 1 EOC
Study Guide
Northshore School District Jan. 3, 2011
Algebra 1 EOC
Study Guide
Number, Operations, Expression, and Variables
Performance Expectation 1.2.A
Compare and order real numbers with and without the number line
Practice Exam
Problem(s)
#1
Sample Question(s)
Which numbers are both less than 
5
6?
6
5
O A.
-2.1 and 
O B.

O C.
-0.65 and -1.2
O D.

Additional Practice at
www.interactmath.com
Chapter 1 Section 3
Exercises: 40, 45
Chapter 7 Section 2
Exercises 7, 35
2
3

3 and 4
2
3 and -0.8
Answer: A
Performance Expectation 1.2.B
Determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions
that involve variables
Practice Exam
Problem(s)
#2, 3
Sample Question(s)
For what values of a is
o
o
o
o
A.
B.
C.
D.
1
𝑎
an integer?
a = 1, 0
a≤1
a = 1, a ≠ 0
a>1
Answer: C
Evaluate 2w + 6y2 for w = 4 and y = 3.
o
o
o
o
A.
B.
C.
D.
330
62
60
44
Answer: B
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Additional Practice at
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Chapter 1 Section 2
Exercises: 47, 51
Chapter 7 Section 1
Exercises 37, 40
Algebra 1 EOC
Study Guide
Performance Expectation 1.2.C
Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents
to simplify and evaluate exponential expressions.
Practice Exam
Problem(s)
#4, 5, 6
Sample Question(s)
Additional Practice at
www.interactmath.com
Chapter 7 Section 1
Exercises: 11, 12, 21, 22, 30, 33
Simplify: 2-2325
223-352
o A. 35
52
o B. 24325
o C. 35
245
o D. 32
245
Answer: C
Chapter 7 Section 3
Exercises: 15, 24, 41
Chapter 7 Section 4
Exercises: 15, 19, 25, 29, 31, 54
Chapter 7 Section 5
Exercises: 15, 19, 23, 35, 37, 41, 67,
71
Simplify: (2x2y3)4
Chapter 10 Section 2
Exercises: 11, 17, 19, 22
o A. 8x6y7
o B. 8x8y12
o C. 16x6y7
o D. 16x8y12
Answer: D
Simplify: √8
o A. √2 × √4
o B. 4 √2
o C. 2 √2
o D. 2 × 2 × 2
Answer: C
Performance Expectation 1.7.D
Solve an equation involving several variables by expressing one variable in terms of the others.
Practice Exam
Problem(s)
#7
Sample Question(s)
Solve A = p + prt for p
𝐴
1+𝑟𝑡
o
A.
o
B. 𝑝 =
o
C.
o
D.
=𝑝
𝐴 (𝑟𝑡)
1
𝐴
=𝑝
𝑟𝑡
𝑟𝑡
=𝑝
𝐴+1
Answer: A
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Additional Practice at
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Chapter 2 Section 5
Exercises: 4, 19, 22, 23, 25, 39, 40
Algebra 1 EOC
Study Guide
Function Characteristics
Performance Expectation 1.1.A
Select and justify functions and equations to model and solve problems
Practice Exam
Problem(s)
#8
Sample Question(s)
Mrs. Morris gave her students this pattern of white tiles. She
asked her students to write an equation to represent the number
of white tiles, t, for any figure number, n.
Additional Practice at
www.interactmath.com
This PE will show up in several
lessons throughout an Algebra 1
textbook. Here are a few examples.
Chapter 4 Section 2
Exercise: 7
Which equation represents the number of white tiles in the
pattern?
o A. t = n +2
o B. t = n + 4
o C. t = 4n + 4
o D. t = 4n + 8
Answer: C
Chapter 7 Section 6
Exercises: 9, 11
Chapter 9 Section 7
Exercises: 3, 7, 12, 15, 25
Performance Expectation 1.1.E
Solve problems that can be represented by exponential functions and equations.
Practice Exam
Problem(s)
#9
Sample Question(s)
E. coli bacteria reproduce by a simple process called binary
fission—each cell increases in size and divides into two cells. In
the laboratory, E. coli bacteria divide approximately every 15
minutes. A new E. coli culture is started with 1 cell. After what
15-minute interval will you have at least 500 bacteria?
o A. 250
o B. 63
o C. 33
o D. 9
Answer: D
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Chapter 7 Section 7
Exercises: 5, 13, 14, 17, 20, 33, 41
Algebra 1 EOC
Study Guide
Performance Expectation 1.3.A
Determine whether a relationship is a function and identify the domain, range, roots, and independent and
dependent variables.
Practice Exam
Problem(s)
#10, 11, 12
Sample Question(s)
The ordered pairs in the sets below are of the form (x, y). In
which set is y a function of x?
a. {(1, -2), (1, 0), (1, 5), (1, 7)}
b. {(1, 3), (2, 6), (3, 1), (6, 3)}
c. {(0, 3), (1, 4), (2, 4), (2, 8)}
d. {(1, 3), (3, 1), (3, 4), (4, 3)}
Answer: B
Below is the graph of 𝑓(𝑥) = −2|𝑥 − 1| + 5. Determine the
domain and range of this function.
o A. Domain: 𝑥 ≥ 0 Range: 𝑓(𝑥) ≥ 0
o B. Domain: 𝑥 ≤ 5 Range: 𝑓(𝑥) ≤ 5
o C. Domain: x can be all real numbers
Range: 𝑓(𝑥) ≤ 5
o D. Domain: x can be all real numbers
Range: f(x) can be all real numbers
Answer: C
Tammy wanted to be a professional basketball player. Ever
since she was a child she would keep track of what was the
average salary for a female basketball player since the year
1995. If Tammy were to write a function relating salary, s, and
years, y, what would be the dependent variable?
o A. salary, s
o B. years, y
o C. salary per year, s/y
o D. year per salary, y/s
Answer: A
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Additional Practice at
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Chapter 4 Section 6
Exercises: 9, 13, 18, 22, 29
Algebra 1 EOC
Study Guide
Performance Expectation 1.3.B
Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections
among these representations.
Practice Exam
Problem(s)
#13
Sample Question(s)
A population of bacteria doubled every hour, starting with 4
bacteria. The table below represents the total population, p, at a
given hour, t.
hour
Number of bacteria
0
4
1
8
2
16
3
32
Additional Practice at
www.interactmath.com
Chapter 4 Section 2
Exercises: 9, 15
Chapter 4 Section 3
Exercises: 7, 9 , 12
Chapter 5 Section 3
Exercise: 50
Which equation best represents the total population (P) of
bacteria at a given hour, t.
o A. P(t) = 2t
o B. P(t) = 2t + 4
o C. P(t) = 4t
o D. P(t) = 4(2t)
Chapter 7 Section 6
Exercise: 29
Chapter 10 Section 5
Exercises: 17, 23
Chapter 11 Section 6
Exercises: 15, 21, 25
Answer: D
Performance Expectation 1.3.C
Evaluate f(x) at a and solve for x in the equation f(x) = b.
Practice Exam Sample Question(s)
Problem(s)
#14, 15
For the function 𝑓(𝑥) = √𝑥 + 3, find 𝑓(6)
1
o A. 2
o B. 6
o C. 3
o D. 9
Answer: C
For the function 𝑓(𝑥) = 2𝑥 − 9, find x when 𝑓(𝑥) = 3
o A. -9
o B. -3
o C. 3
o D. 6
Answer: D
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Additional Practice at
www.interactmath.com
Chapter 4 Section 6
Exercises: 3, 16
Algebra 1 EOC
Study Guide
Performance Expectation 1.4.E
Describe how changes in the parameters of linear functions and functions containing an absolute value of a
linear expression affect their graphs and the relationships they represent.
Practice Exam
Problem(s)
#16, 17
Sample Question(s)
Use the following situation for the next two questions:
A gas station’s 10,000-gallon underground storage tank contains
1,000 gallons of gasoline. Tanker trucks pump gasoline into the
tank at a rate of 400 gallons per minute. How long will it take to
fill the tank?
Find a function that represents this situation.
o A. f(x) = 400x + 10, 000
o B. f(x) = 400x + 1000
o C. f(x) = -400x + 10000
o D. f(x) = -400x + 9000
Answer: B
If the flow rate increases from 400 to 500 gallons per minute,
how will the graph of the function change?
o A.
o B.
o C.
o D.
The y-intercept will increase
The y-intercept will decrease
The slope will decrease
The slope will increase
Answer: D
Describe how the graph of y = |x| has been transformed to
produce the graph of y = |x| - 5.
Answer: The graph of y = |x| has been translated down 2
units.
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Chapter 4 Section 6
Exercises: 3, 16
Algebra 1 EOC
Study Guide
Performance Expectation 1.7.A
For an exponential function of the form y = ab where n is an integer,
describe the effects that changes in the parameters a and b have on the graph, and answer questions that arise i
n situations modeled by exponential functions.
Practice Exam
Problem(s)
#18
Sample Question(s)
Which equation below describes a function that increases most
quickly as x increases?
o A. y  4(5) x
Additional Practice at
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Chapter 7 Section 6
Exercises: 20, 22, 29, 31, 41
o B. y  5(4) x
o C. y  4(0.2) x
o D. y  5(0.25) x
Answer: A
Performance Expectation 1.7.B
Find and approximate solutions to exponential equations.
Practice Exam
Problem(s)
#19
Sample Question(s)
For 𝑦 = −3(2)𝑥 , find the approximate value of x when y is
approximately -0.09.
o A. x = -1.3
o B. x = -5.1
o C. x = -5.5
o D. x = 66.7
Answer: A
Additional Practice at
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Chapter 7 Section 7
Exercises: 5, 14, 15, 33, 41
Performance Expectation 1.7.C
Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two
forms, explain how rate of change is represented in each form, and use the forms to find specific terms in the
sequence.
Practice Exam
Problem(s)
#20
Sample Question(s)
What is the fifth term in the geometric sequence with a first
term of 3 and a second term
of 6?
O A.
15
O B.
18
O C.
32
O D.
48
Answer: D
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Additional Practice at
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Chapter 4 Section 7
Exercises: 9, 18, 30, 33, 37, 49
Algebra 1 EOC
Study Guide
Linear Functions and Inequalities
Performance Expectation 1.1.B
Solve problems represented by linear functions, equations and inequalities
Practice Exam
Problem(s)
#21, 22
Sample Question(s)
A taxi ride costs $29.40. The driver charged $3 plus $0.40 per
0.2 mile traveled. How far did the taxi travel on this trip?
o
o
o
o
A.
B.
C.
D.
9.8 miles
13.2 miles
66 miles
73.5 miles
Answer: B
A health plan offers two plans. Plan A has $100
membership and charges $3 per visit. Plan B has a $160
membership fee and offers unlimited visits. For how many
visits is the cost of Plan B less than the cost of Plan A?
o More than 20 visits
o More than 33 visits
o More than 40 visits
o More than 53 visits
Answer: A
Additional Practice at
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Chapter 2 Section 3
Exercises: 55, 61, 65
Chapter 2 Section 4
Exercises: 44, 46
Chapter 3 Section 2
Exercises: 42, 69, 75
Chapter 3 Section 3
Exercise: 31
Chapter 3 Section 4
Exercises: 5, 44
Performance Expectation 1.1.C
Solve problems that can be represented by a system of two linear equations or inequalities.
Practice Exam
Problem(s)
#23
Sample Question(s)
Only chocolate and vanilla ice cream cones are sold at an ice
cream store. In one day, the number of chocolate cones sold
was 1 more than 4 times the number of vanilla cones sold. A
total of 121 cones were sold that day.
Let c = the number of chocolate cones sold
Let v = the number of vanilla cones sold


Write equations to determine the number of
chocolate cones sold that day.
Use the equations to determine the number of
chocolate cones sold that day.
Answer: 97
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Chapter 6 Section 1
Exercises: 21, 34
Chapter 6 Section 2
Exercises: 23, 25, 32
Chapter 6 Section 3
Exercises: 13, 39
Chapter 6 Section 4
Exercises: 7, 9, 11
Chapter 6 Section 6
Exercises: 3, 31
Algebra 1 EOC
Study Guide
Performance Expectation 1.4.A
Solve linear equations and inequalities in one variable
Practice Exam
Problem(s)
#24, 25, 26
Sample Question(s)
Solve for x: 2(x – 3) + 4x = 14 + 2x
o A. 2
o B. 5
o C. 4
o D. 6
Answer: B
The equation 2|x - 1| - 10 = -4 has two real solutions.
Determine the negative solution to the equation.
o -1
o -2
o -3
o -4
Answer: B
Determine whether the student made an error when solving the
following inequality. If an error was made, then completely
describe the error.
Problem
9 – 5(2x + 1) ≥ -28
Step 1
9 – 10x – 5 ≥ -28
Step 2
4 – 10x ≥ -28
Step 3
4 – 10x ≥ -28
-4
-4
-10x ≥ -32
Step 4
-10x ≥ -32
-10 -10
Step 5
x ≥ 3.2
Answer: In Step 4 the student did not reverse the inequality
symbol when dividing by a negative number.
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Chapter 2 Section 3
Exercises: 1, 4, 13, 22, 29, 49
Chapter 2 Section 4
Exercises: 15, 17, 21, 26, 27, 30
Chapter 3: Section 4
Exercises: 2, 11, 13, 17, 19, 23, 33,
37
Chapter 3 Section 7
Exercises: 1, 3, 11, 15, 17, 23, 26,
27, 33, 35, 41
Algebra 1 EOC
Study Guide
Performance Expectation 1.4.B
Write and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or
two points on the line, and translate between forms of linear equations.
Practice Exam
Problem(s)
#27, 28
Sample Question(s)
Which equation represents the line that passes through the
points (2, 2) and (4, 1)?
O A.
𝑦 = −2𝑥 + 6
1
2
O B.
𝑦 =− 𝑥+3
O C.
𝑦 = 2𝑥 + 1
O D.
𝑦 = 2𝑥 − 2
1
Additional Practice at
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Chapter 5 Section 3
Exercises: 11, 13, 21, 23, 29, 38, 44,
47
Chapter 5 Section 4
Exercises: 8, 13, 17, 21, 31
Chapter 5 Section 5
Exercises: 16, 19, 27, 28, 35, 36, 37
Answer: B
Use the equation 𝑦 − 7 = 2(𝑥 − 2)(without sketching the
graph) to describe the graph.
o A. the graph has a negative slope and y-intercept of -2
o B. the graph has a negative slope and y-intercept of 3
o C. the graph has a positive slope and y-intercept of -2
o D. the graph has a positive slope and y-intercept of 3
Answer: D
Performance Expectation 1.4.C
Identify and interpret the slope and intercepts of a linear function, including equations for parallel and
perpendicular lines.
Practice Exam
Problem(s)
#29, 30
Sample Question(s)
Mary is going to deposit an equal amount of money into a
checking account each month until she has saved $500. The
amount of money, y, in the account after x months can be
modeled by the equation 𝑦 = 25𝑥 + 100.
What does the slope of the graph of the equation represent?
O A.
The amount of money deposited monthly
O B.
The amount of money originally in the account
O C.
The number of months it would take to earn $100
O D.
The number of months it would take to reach $500
Answer: A
What is the slope of a line that is parallel to the line
3x + 5y = 10?
𝟑
Answer: − 𝟓
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Chapter 5 Section 4
Exercise: 23
Chapter 5 Section 6
Exercises: 7, 11, 12, 13, 17, 18, 19,
20
Algebra 1 EOC
Study Guide
Performance Expectation 1.4.D
Solve systems of two linear equations and inequalities in two variables.
Practice Exam
Problem(s)
#23, 31
Sample Question(s)
See the example for Performance Expectation for 1.1.C
Two lines divide the coordinate plane into the four lettered
regions shown.
Additional Practice at
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Chapter 6 Section 1
Exercises: 3, 10, 14, 17, 18, 24
Chapter 6 Section 2
Exercises: 1, 11, 15, 17, 21, 27
Chapter 6 Section 3
Exercises: 1, 7, 8, 10, 15, 19, 21, 36
Chapter 6 Section 6
Exercises: 11, 15, 17, 19, 24
One region represents the solution set to the system of
inequalities given.
𝑦 ≥ 2𝑥 + 1
1
{
𝑦 ≤− 𝑥−3
3
Which region represents the solution set for the system of
inequalities given?
O A.
Region M
O B.
Region N
O C.
Region P
O D.
Region Q
Answer: C
Data and Statistics
Performance Expectation 1.6.A
Use and evaluate the accuracy of summary statistics to describe and compare data sets.
Practice Exam
Problem(s)
#32
Sample Question(s)
There are 17 employees at a company. The employees earn
these hourly wages.
 8 employees earn $9 per hour.
 7 employees earn $12 per hour.
 2 employees earns $33 per hour.
Determine and explain mathematically which measure of center
best represents the hourly wages of employees at the company.
Answer: Median
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Chapter 12 Section 3
Exercises: 1, 7, 13, 16, 19
Chapter 12 Section 4
Exercises: 6, 9, 13, 16, 17
Algebra 1 EOC
Study Guide
Performance Expectation 1.6.B
Make valid inferences and draw conclusions based on data.
Practice Exam
Problem(s)
#33
Sample Question(s)
Dr. Wilson noticed that as her patients ate more broccoli, their
cholesterol levels dropped. She concluded that eating broccoli
causes lower cholesterol levels in the blood.
Additional Practice at
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Chapter 5 Section 7
Exercise: 13
Explain any flaws in Dr. Wilson’s conclusion:
Answer:
Correlation does not imply causation. For example, patients who
are eating broccoli may be doing other things that contribute to
lowering cholesterol levels, like exercise. Thus, it might not be
the act of eating broccoli that is causing the lower cholesterol,
but another factor which is making the variable move (like
exercise).
Performance Expectation 1.6.C
Describe how linear transformations affect the center and spread of univariate data.
Practice Exam
Problem(s)
#34
Sample Question(s)
At a particular company, every employee receives a 4% cost-ofliving increase to their salary.
What impact does this cost-of-living increase have on the mean
and on the range of employee salaries at this company?
o
o
o
o
A. The mean increases but the range does not change.
B. The mean does not change but the range increases.
C. The mean and range both increase.
D. The mean and range do not change.
Answer: C
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Chapter 12 Section 3
Exercises: 3, 21
Algebra 1 EOC
Study Guide
Performance Expectations 1.6.D and 1.6.E
Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and
y-intercept of the line, and use the equation to make predictions.
Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative.
Practice Exam
Problem(s)
#35, 36
Sample Question(s)
Use the given scatterplot to answer the following questions.
Which statement describes the correlation of the data graphed in
the scatterplot?
o A. Strong negative
o B. Strong positive
o C. Weak negative
o D. Weak positive
Answer: B
Which equation represents a line that fits the data?
o A. 𝑦 = 29𝑛 + 180
o B. 𝑦 = 60𝑛 + 180
2
o C. 𝑦 = 3 𝑛 + 180
o D. 𝑦 =
Answer: A
200
𝑛
3
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+ 180
Additional Practice at
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Chapter 5 Section 7
Exercises: 1, 7, 9