Assessment Test Study Guide Math & Grammar
Subject Area Tests
There are three multiple choice tests. There is also a written essay portion. The content that is
covered in the multiple choice tests are listed below by subject:
Arithmetic (25 questions):
Integers, Fractions, Decimals, and Percents—solve numerical and word problems,
and compare magnitudes
Ratios—compute, identify equivalent ratios, and understand and explain ratio and
rate reasoning
Irrational numbers—identify irrational numbers
Exponents—evaluate numerical expressions with integer bases and exponents
Algebra (25 questions):
Expressions, Equations, and Inequalities—identify, simplify, evaluate, construct, and
interpret
Functions— identify domains, manipulate, and solve
Order of Operations—simplify and rewrite numerical expressions
Systems of Equations—construct a system of equations from a word problem
Coordinates—translate between an equation and a line, including slope
Polynomials—factor, expand, and perform operations with polynomials
Reading (25 questions):
Determine what the text says explicitly and what can be inferred logically
Support or challenge assertions about the text
Discern the most important ideas, events, or information, and summarize them
Delineate the main ideas or themes and the details that elaborate and support them
Determine when, where, and why events unfold in the text, and explain how they relate
to one another
Analyze the traits, motivations, and thoughts of individuals
Determine what is meant by words and phrases in context
Analyze how specific word choices shape the meaning and tone of the text
Analyze the text's organizational structure
Analyze how specific details and larger portions of the text contribute to meaning
Evaluate the reasoning and rhetoric that support an argument or explanation
Apply knowledge and concepts gained through reading to expand understanding
Create a logical progression of ideas or events, and convey the relationships among them
Choose words and phrases to express ideas precisely and concisely
,What should you expect?
The following section provides an overview of the type of information you will need to know to
perform well on the math subject area tests. It is not intended to be a comprehensive listing of
all content covered.
Arithmetic:
You should review your basic math rules such as order of operations, exponents, irrational
numbers, and percents. Here are a few of the rules to review:
Order of Operations
1. work within parentheses
2. simplify exponents
3. multiply and divide
4. add and subtract
Signed Numbers
−9 + (−7) = −16
−15 + 20 = 5
4 − (−5) = 9
−6 − (−8) = 2
−3 • (−2) = 6
5 • (−2) = −10
−15 ÷ 3 = −5
−12 ÷ (−4) = 3
Fractions and Decimals
2 3 5
9 + 9= 9
1 3 2 9 11
6 + 4 = 12+ 12= 12
7 1 6 3
8−= 8 =8 4
5 2 25 14 11
7 − 5 = 35− 35= 35
12 48 11 28 1 4
•1 =2 •3 = 2 1
1 2 •3 2= 3 • 13 = = 1
1 ÷1 =1• =6 •1 =3
2 6 1 2 5 1 7 1 5 13 15
1
2÷2 = ÷ = • =
2 3 2 3 2 7 14
1
= 1 ÷ 4.00 = 0.25
4 65
0.65 = 13
, 100 = 20
Subject Area Tests
There are three multiple choice tests. There is also a written essay portion. The content that is
covered in the multiple choice tests are listed below by subject:
Arithmetic (25 questions):
Integers, Fractions, Decimals, and Percents—solve numerical and word problems,
and compare magnitudes
Ratios—compute, identify equivalent ratios, and understand and explain ratio and
rate reasoning
Irrational numbers—identify irrational numbers
Exponents—evaluate numerical expressions with integer bases and exponents
Algebra (25 questions):
Expressions, Equations, and Inequalities—identify, simplify, evaluate, construct, and
interpret
Functions— identify domains, manipulate, and solve
Order of Operations—simplify and rewrite numerical expressions
Systems of Equations—construct a system of equations from a word problem
Coordinates—translate between an equation and a line, including slope
Polynomials—factor, expand, and perform operations with polynomials
Reading (25 questions):
Determine what the text says explicitly and what can be inferred logically
Support or challenge assertions about the text
Discern the most important ideas, events, or information, and summarize them
Delineate the main ideas or themes and the details that elaborate and support them
Determine when, where, and why events unfold in the text, and explain how they relate
to one another
Analyze the traits, motivations, and thoughts of individuals
Determine what is meant by words and phrases in context
Analyze how specific word choices shape the meaning and tone of the text
Analyze the text's organizational structure
Analyze how specific details and larger portions of the text contribute to meaning
Evaluate the reasoning and rhetoric that support an argument or explanation
Apply knowledge and concepts gained through reading to expand understanding
Create a logical progression of ideas or events, and convey the relationships among them
Choose words and phrases to express ideas precisely and concisely
,What should you expect?
The following section provides an overview of the type of information you will need to know to
perform well on the math subject area tests. It is not intended to be a comprehensive listing of
all content covered.
Arithmetic:
You should review your basic math rules such as order of operations, exponents, irrational
numbers, and percents. Here are a few of the rules to review:
Order of Operations
1. work within parentheses
2. simplify exponents
3. multiply and divide
4. add and subtract
Signed Numbers
−9 + (−7) = −16
−15 + 20 = 5
4 − (−5) = 9
−6 − (−8) = 2
−3 • (−2) = 6
5 • (−2) = −10
−15 ÷ 3 = −5
−12 ÷ (−4) = 3
Fractions and Decimals
2 3 5
9 + 9= 9
1 3 2 9 11
6 + 4 = 12+ 12= 12
7 1 6 3
8−= 8 =8 4
5 2 25 14 11
7 − 5 = 35− 35= 35
12 48 11 28 1 4
•1 =2 •3 = 2 1
1 2 •3 2= 3 • 13 = = 1
1 ÷1 =1• =6 •1 =3
2 6 1 2 5 1 7 1 5 13 15
1
2÷2 = ÷ = • =
2 3 2 3 2 7 14
1
= 1 ÷ 4.00 = 0.25
4 65
0.65 = 13
, 100 = 20
