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MAAP ALGEBRA I
BOOT CAMP
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Mississippi 1st Edition
Table of Contents Chapter 1: MAAP Algebra I Overview ......................................................... 7
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Chapter 2: Introductory Algebra .................................................................. 13 Introductory Algebra Overview .......................................................................... 14 Mini-Test One ............................................................................................................... 16 Plug in Points on a Graph .................................................................................... 19 Distributive Property: Show Your Work .......................................................... 21 Mini-Test Two ............................................................................................................. 23 Word Problem Translation ................................................................................... 25 Substitution .................................................................................................................. 26 Mini-Test Three .......................................................................................................... 27 Negative Paranoia ..................................................................................................... 29 Process of Elimination ............................................................................................ 30 Mini-Test Four ........................................................................................................... 32 Equations of Lines ..................................................................................................... 34 Try Numbers .................................................................................................................. 37 Mini-Test Five ............................................................................................................. 38 Mini-Test Explanations .......................................................................................... 40 Chapter 3: Functions ................................................................................................49 Functions Overview .................................................................................................. 50 Mini-Test One .............................................................................................................. 51 Create a Visual ........................................................................................................... 53 Translations & Reflections .................................................................................. 54 Mini-Test Two ............................................................................................................. 56 Process of Elimination ............................................................................................. 59 Use the Answer Choices ........................................................................................ 60
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Mini-Test Three .......................................................................................................... 61 Plug It In ........................................................................................................................ 63 Don’t Overthink It .................................................................................................... 64 Mini-Test Four ............................................................................................................ 65 Read the Question .................................................................................................... 67 Draw It Out ................................................................................................................. 68 Mini-Test Five ............................................................................................................. 69 Mini-Test Explanations ........................................................................................... 71
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Chapter 4: Statistics & Probability .............................................................. 77 Statistics & Probability Overview .......................................................................78 Mini-Test One .............................................................................................................. 79 Finding Percentages ................................................................................................. 83 Process of Elimination ............................................................................................ 85 Box-and-Whisker Plot Boot camp ...................................................................87 Mini-Test Two ............................................................................................................. 89 Mini-Test Explanations .......................................................................................... 92 Wrap-Up ................................................................................................................................95
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Further Practice .............................................................................................................99 Practice Set One ................................................................................................... 100 Practice Set Two ................................................................................................... 1 03 Practice Set Three ................................................................................................ 107 Practice Set Explanations .................................................................................... 111
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Fourteen years ago, I made perfect scores on the ACT and the SAT. Since then, I’ve helped thousands of students improve their scores on the most popular standardized tests, including ACT, SAT, and WorkKeys. I’ve helped students who aren’t “good test takers” get the scores they need for the school, scholarship, or job they’re interested in.
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This Boot Camp was written to help you. If I were tutoring you personally, you might ask, “I’m taking my MAAP Algebra I test in two days. What do I need to know?” The information in this workshop is exactly what I would give you. This program is designed to give you the ultimate one-day cram. With this Boot Camp, you can learn the skills that you need to boost your scores on the MAAP Algebra I test. Most students I work with do best under pressure. You can call it simply “waiting until the last minute,” but I think there is a human instinct that kicks in, a survival mechanism of sorts, that clears your head and helps you do what needs to get done. This workshop is for the “final hours.” It’s here because, sometimes, the best prep comes just before the test begins. This Boot Camp will guide you through the essentials on content, test-taking strategies, and the most common question types on the MAAP Algebra I test. At MasteryPrep we’ve done research based on what students most need to do well on the MAAP Algebra I test and have distilled that information down into this workshop. It’s designed to give you everything you need—and nothing that you don’t—quickly enough that you can cover it all in a single day.
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Good luck!
Craig Gehring
MAAP Algebra I Boot Camp
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WORKKEYS OVERVIEW
A Note from the Author
Fill in the times following your instructor’s directions. This is the agenda we will follow throughout the day. There will be breaks throughout the session. Next to each section name in the schedule, you’ll find the corresponding page number where it begins in this workbook.
Section
Page Number
MAAP Algebra I Overview
7
Introductory Algebra
13
Break
—
Functions
49
Break
—
Statistics & Probability
77
Further Practice
95
Boot Camp Wrap-Up
115
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Time
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WORKKEYS OVERVIEW
Schedule
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Chapter 1
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MAAP Algebra I Overview
What Is End-of-Course Testing? End-of-course testing measures your aptitude in a given subject after you have finished a course. Consider it a subject understanding checkup. Teachers use it to identify both your strengths and areas where improvement is needed. This helps ensure you are on track in developing the knowledge and skills needed for the next grade and, eventually, college and a career.
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Why Should You Care?
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In this Boot Camp, we’ll focus on the three most common concepts in Algebra I: Introductory Algebra, Functions, and Statistics & Probability. Your understanding of each of these concepts will help you pass the MAAP Algebra I test.
•
Some schools require the MAAP Algebra I test as part of your final grade in the course.
•
If your school uses the MAAP Algebra I test as a final exam for the course, then doing well on this test can boost your GPA.
•
A good MAAP Algebra I test score is a positive indicator that you are on track for college.
•
Mastering the foundational skills taught in this Boot Camp will help you succeed in more difficult math courses in the future.
•
Put in the effort now and save yourself from repeating a course or taking summer school.
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MAAP ALGEBRA I OVERVIEW
MAAP Algebra I Overview
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MAAP Algebra I Boot Camp
Orientation The three most common conceptual categories evaluated on the MAAP Algebra I test are Introductory Algebra, Functions, and Statistics & Probability. Introductory Algebra makes up 52% of the test. Functions makes up 33% of the test.
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Statistics & Probability makes up 11% of the test. Here is a breakdown of possible ways the three main categories will be covered on the test. Introductory Algebra tests equations, expressions, and inequalities in the following ways: Evaluate problems with one or two variables.
•
Create models to describe real-life situations and relationships.
•
Understand and apply basic mathematical principles.
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Functions measures your ability to interpret, understand, and build functions.
Statistics & Probability assesses how well you can summarize, represent, and interpret categorical and quantitative data and interpret linear models.
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MAAP ALGEBRA I OVERVIEW
MAAP Algebra I Overview
Orientation The MAAP Algebra I test is a computer-based test that lasts approximately 4.5 hours. It is administered in two sessions, sometimes over a two-day period. Calculator use is permitted on the entire test. Session One is comprised of individual questions, unrelated to each other. Session Two presents data and asks questions that are related to the same set of information.
Session 1
Number of Questions
Block 1 Block 2
58 8
Total
66
78 minutes 79 minutes 90 minutes
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Session 2
Time
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Test Section
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MAAP ALGEBRA I OVERVIEW
MAAP Algebra I Overview
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MAAP Algebra I Boot Camp
257 minutes
About This Boot Camp This is a one-day event, preparing you for the most important questions on the MAAP Algebra I test. This Boot Camp is not meant to be the only form of preparation for the MAAP Algebra I test. You should also find other practice tests online and ask your teachers for help and for other resources that specifically target the skills needed to do well on this test.
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This book contains key strategies for taking the test, instructional content, and mini-tests that give you practice with the type of questions you’ll see on test day (plus an explanation for how to solve every question). This book has plenty of places for you to take notes, and we highlight the most important strategies to use so you can continue practicing on your own.
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This Boot Camp will go by fast! Be ready, take notes, and stay focused!
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MAAP ALGEBRA I OVERVIEW
MAAP Algebra I Overview
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Chapter 2
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Introductory Algebra
Introductory Algebra:
Overview
Introductory Algebra Overview The Introductory Algebra conceptual category tests your proficiency over a broad range of algebra skills. The
Interpret the structure of expressions.
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Write expressions in equivalent forms to solve problems.
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Seeing Structure in Expressions
Arithmetic with Polynomials and Rational Expressions •
Perform arithmetic operations on polynomials.
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Understand the relationship between zeros and factors of polynomials.
Creating Equations •
Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities •
Understand solving equations as a process of reasoning and explain the reasoning.
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Solve equations and inequalities in one variable.
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Solve systems of equations.
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Represent and solve equations and inequalities graphically.
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INTRODUCTORY ALGEBRA
skills that will be tested on your exam include but are not limited to the following:
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MAAP Algebra I Boot Camp
Introductory Algebra:
Overview
What Are Boot Camp Mini-Tests? During this Boot Camp you will take several mini-tests, which are small segments of an Algebra I test. While taking these mini-tests, it’s important to imagine that you are in an actual testing environment. The time limits assigned
For these mini-tests, you have 8 minutes to answer 5 questions. Your instructor will signal when you are out of time. Try to get through all the questions within the time limit. Unless your instructor has provided you with an answer sheet, circle your answers directly in this book. The real test does not allow the use of cell phones,
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watches, or computers, so you shouldn’t use them on the mini-tests either.
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INTRODUCTORY ALGEBRA
as you complete the mini-tests.
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match the pace that you should try to keep during the actual test. Practice all of the skills that you have learned
Introductory Algebra - Mini-Test One 1.
A.
Which graph is a solution to 2x – 7y > 21? y
y
12 10 8
12 10 8
B.
6
6
4
4
2 2 4
6 8 10 12
–12 –10 –8 –6 –4 –2 –2
–4
2 4
6 8 10 12
–4
–6 –8
–6 –8
–10
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C.
–12
–12
y
y
12 10 8
12 10 8
D.
6
6
4
4
2
–12 –10 –8 –6 –4 –2 –2
x
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–12 –10 –8 –6 –4 –2 –2
2 x
2
2 4
6 8 10 12
x
–12 –10 –8 –6 –4 –2 –2
–4
–6 –8
–6 –8
–10
–10
–12
–12
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–4
Introductory Algebra - Mini-Test One
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2 4
6 8 10 12
x
GO ON TO THE NEXT PAGE.
Use the steps in the table to answer the question. initial equation
4(x – 2)2 – 2x + x = –33x – 4x
step 1
4(x – 2)2 – x = –37x
step 2
4(x – 2)2 = –36x
step 3
(x – 2)2 = –9x
step 4
x2 – 4x + 4 = –9x
step 5
x2 + 5x + 4 = 0
The table shows the first 5 steps used to solve an equation.
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2.
Which statement is an incorrect explanation of one step in the process?
B. C. D.
3.
From step 1, apply the multiplication property of equality to –x and –37x to get 4(x – 2)2 = –36x in step 2.
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From step 2, apply the division property of equality to 4(x – 2)2 and –36x to get (x – 2)2 = –9x in step 3. From step 3, apply the distributive property to (x – 2)2 to get x 2 – 4x + 4 in step 4.
From step 4, apply the subtraction property of equality to x 2 – 4x + 4 and –9x to get x 2 + 5x + 4 = 0.
A grocery store purchases crates of oranges. •
Each crate contains 75 oranges.
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Each crate costs $60.
How much does the grocery store have to charge for each orange to make a profit of $30 per crate? A. $0.75
B. $0.83
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C. $0.90 D. $1.20
4.
Which expression is equivalent to k 2 – 16?
A. (k – 8)(k + 2)
B. (k – 8)(k – 2)
C. (k + 4)(k – 4) D. (k – 4)(k – 4)
Introductory Algebra - Mini-Test One
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GO ON TO THE NEXT PAGE.
5.
Which expression is equivalent to (x – 2)(3x 2 – 5x + 9)? A. 3x 2 – 4x + 7 B. 3x 2 – 4x + 9 C. 3x 3 – 5x 2 + 9x – 2
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D. 3x 3 – 11x 2 + 19x – 18
Introductory Algebra - Mini-Test One
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STOP! END OF TEST. YOU MAY GO BACK AND CHECK YOUR WORK.
Introductory Algebra:
Plug in Points on a Graph
Plug in Points on a Graph If you’re having trouble graphing a line on the coordinate plane, try plugging in points. This is a quick and easy method for solving graph problems. If you forget what each number in the equation of a
Let’s take a look at how plugging in points can help you solve a problem on your test.
A.
Which graph is a solution to 2x – 7y > 21?
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1.
y
y
12 10 8
12 10 8
B.
6
6
4
4
2
2
–12 –10 –8 –6 –4 –2 –2
2 4
6 8 10 12
–12 –10 –8 –6 –4 –2 –2
–4
–4
–6 –8
–6 –8
–10
–10
–12
–12
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x
y
y
12 10 8
12 10 8
D.
6
6
4
4
2
2
–12 –10 –8 –6 –4 –2 –2
2 4
6 8 10 12
x
–12 –10 –8 –6 –4 –2 –2
–4
–4
–6 –8
–6 –8
–10
–10
–12
–12
2 4
6 8 10 12
2 4
6 8 10 12
MAAP Algebra I Boot Camp
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x
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INTRODUCTORY ALGEBRA
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line represents, then plug in values for x and y to find coordinate points on the line.
Introductory Algebra:
Plug in Points on a Graph
First, simplify the inequality. 2x – 7y > 21 – 7y > –2x + 21 y<
2 x–3 7
Now, plug in a value for x to find a set of coordinates on the graph of the inequality.
2 (0) – 3 7
y < –3
Therefore, the point (0,–3) is on the graph of the inequality. Since y < –3, all the values of y below this point should
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be shaded. This makes choice B the only correct answer.
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INTRODUCTORY ALGEBRA
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Let’s try x = 0.
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Introductory Algebra:
Mini-Test Explanations
Mini-Test Explanations MINI-TEST ONE
–7y > –2x + 21 2 x–3 7
y<
The line represented by the linear inequality has a positive slope, so choices A and C are incorrect. The shaded region should be below the line represented by the linear inequality, so choice D is incorrect. The graph in choice B is the correct representation of the inequality.
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2. The correct answer is A. In step 1, the addition property of equality, not the multiplication property of equality, is used to add x to both sides of the equation and cancel the left-side –x term. 3. The correct answer is D. To make $30 profit, a crate of oranges must be sold for 60 + 30 = $90. Divide $90 by the number of oranges in the crate.
90 = 1.2 75
Each orange must be sold for $1.20 to make a profit of $30 per crate.
4. The correct answer is C. The expression provided is a difference of squares with a2 – b2 = (a + b)(a – b). Therefore, the given expression can be factored to the following:
k2 – 16
k2 – 42
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INTRODUCTORY ALGEBRA
2x – 7y > 21
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1. The correct answer is B. Solve the inequality for y. Remember to flip the inequality when dividing by a negative number.
(k + 4)(k – 4)
5. The correct answer is D. Distribute both terms in the first parentheses to all terms in the second parentheses and combine like terms. (x – 2)(3x2 – 5x + 9)
3x3 – 5x2 + 9x – 6x2 + 10x – 18
3x3 – 5x2 – 6x2 + 9x + 10x – 18 3x3 – 11x2 + 19x – 18
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