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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024
CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
slope-intercept form 
y = mx + b 
 
 
slope formula 
m = (y₂- y₁) / (x₂- x₁) 
 
 
point slope form 
y - y₁ = m(x - x₁) 
 
 
standard form 
Ax + By = C 
 
 
distance formula 
d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
 
equation of a circle 
(x - h)² + (y - k)² = r² 
where (h,k) is the center and r is the radius 
 
 
absolute value piece wise function 
|x| = { x if x >or= 0 
{ -x if x < 0 
 
 
FOIL 
First, Outer, ...
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
slope-intercept form 
y = mx + b 
 
 
slope formula 
m = (y₂- y₁) / (x₂- x₁) 
 
 
point slope form 
y - y₁ = m(x - x₁) 
 
 
standard form 
Ax + By = C 
 
 
distance formula 
d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
 
equation of a circle 
(x - h)² + (y - k)² = r² 
where (h,k) is the center and r is the radius 
 
 
absolute value piece wise function 
|x| = { x if x >or= 0 
{ -x if x < 0 
 
 
FOIL 
First, Outer, ...
ECPI MATH TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
ECPI MATH TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
A pitcher that holds 0.5L will hold how many milliliters? 
500 
 
 
What is the mean test score for the 10 students in this class? 
83.4 
 
 
What is the mode for the test scores? 
87 
 
 
A satisfaction survey is administered to 568 people. Seventy-one people were unsatisfied with the product. Which statement is true? 
1 out of 8 clients was unsatisfied 
 
 
Six hundred and thirty milligrams is equal to how many grams? 
0.63g 
 
 
A client ...
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ECPI MATH TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
A pitcher that holds 0.5L will hold how many milliliters? 
500 
 
 
What is the mean test score for the 10 students in this class? 
83.4 
 
 
What is the mode for the test scores? 
87 
 
 
A satisfaction survey is administered to 568 people. Seventy-one people were unsatisfied with the product. Which statement is true? 
1 out of 8 clients was unsatisfied 
 
 
Six hundred and thirty milligrams is equal to how many grams? 
0.63g 
 
 
A client ...
EDREADY TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
EDREADY TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
subject-by-subject strategy 
writer will first discuss aspects of apples, then discuss parallel aspects of oranges 
 
 
subject-by-subject strategy example: 
If the writer discusses how apples taste, but how oranges look, then that is not a real comparison. 
 
 
point-by-point strategy 
the writer will discuss points of comparison, or common aspects, of the two subjects 
 
 
point-by-point strategy example: 
he or she might discuss the health ...
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EDREADY TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
subject-by-subject strategy 
writer will first discuss aspects of apples, then discuss parallel aspects of oranges 
 
 
subject-by-subject strategy example: 
If the writer discusses how apples taste, but how oranges look, then that is not a real comparison. 
 
 
point-by-point strategy 
the writer will discuss points of comparison, or common aspects, of the two subjects 
 
 
point-by-point strategy example: 
he or she might discuss the health ...
ENGLISH PLACEMENT TEST GUIDE 1 WITH COMPLETE SOLUTIONS 100% 2023/2024
ENGLISH PLACEMENT TEST GUIDE 1 WITH COMPLETE SOLUTIONS 100% 2023/2024 
Simple Sentence 
A sentence with one independent clause, making it the main clause as well. 
 
 
Predicate 
the part of a sentence or clause containing a verb and stating something about the subject. ("went home" in "John went home") 
 
 
Clause 
Group of words consisting of a subject and a predicate ("John went home" would be a clause) 
 
 
Modifier 
A word used to effect the state/meaning of the word in a predicate. E...
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ENGLISH PLACEMENT TEST GUIDE 1 WITH COMPLETE SOLUTIONS 100% 2023/2024 
Simple Sentence 
A sentence with one independent clause, making it the main clause as well. 
 
 
Predicate 
the part of a sentence or clause containing a verb and stating something about the subject. ("went home" in "John went home") 
 
 
Clause 
Group of words consisting of a subject and a predicate ("John went home" would be a clause) 
 
 
Modifier 
A word used to effect the state/meaning of the word in a predicate. E...
ENGLISH PLACEMENT TEST GUIDE 1 WITH COMPLETE SOLUTIONS 100% 2023/2024
ENGLISH PLACEMENT TEST GUIDE 1 WITH COMPLETE SOLUTIONS 100% 2023/2024 
Simple Sentence 
A sentence with one independent clause, making it the main clause as well. 
 
 
Predicate 
the part of a sentence or clause containing a verb and stating something about the subject. ("went home" in "John went home") 
 
 
Clause 
Group of words consisting of a subject and a predicate ("John went home" would be a clause) 
 
 
Modifier 
A word used to effect the state/meaning of the word in a predicate. E...
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ENGLISH PLACEMENT TEST GUIDE 1 WITH COMPLETE SOLUTIONS 100% 2023/2024 
Simple Sentence 
A sentence with one independent clause, making it the main clause as well. 
 
 
Predicate 
the part of a sentence or clause containing a verb and stating something about the subject. ("went home" in "John went home") 
 
 
Clause 
Group of words consisting of a subject and a predicate ("John went home" would be a clause) 
 
 
Modifier 
A word used to effect the state/meaning of the word in a predicate. E...
HIGH SCHOOL PLACEMENT TEST (MATH) WITH COMPLETE SOLUTIONS 100% 2023/2024
HIGH SCHOOL PLACEMENT TEST (MATH) WITH COMPLETE SOLUTIONS 100% 2023/2024 
Perimeter of a rectangle 
A = 2l + 2w or 2(l + w) 
 
 
Perimeter of a square 
A = 4s 
 
 
Area of a triangle 
A = (1/2)bh 
 
 
Area of a rectangle 
A = bh or lw 
 
 
Area of a square 
A = S2(2= squared) 
 
 
Diameter of a Circle 
Diameter of a circle: d = 2r 
 
 
Circumference of a circle 
C = 2πr or πd 
 
 
Area of a circle 
A = πr2 
 
 
*Volume of rectangular solids: 
V = lwh 
 
 
Pythagorean theorem 
a2 + b2 = c2 
 
...
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HIGH SCHOOL PLACEMENT TEST (MATH) WITH COMPLETE SOLUTIONS 100% 2023/2024 
Perimeter of a rectangle 
A = 2l + 2w or 2(l + w) 
 
 
Perimeter of a square 
A = 4s 
 
 
Area of a triangle 
A = (1/2)bh 
 
 
Area of a rectangle 
A = bh or lw 
 
 
Area of a square 
A = S2(2= squared) 
 
 
Diameter of a Circle 
Diameter of a circle: d = 2r 
 
 
Circumference of a circle 
C = 2πr or πd 
 
 
Area of a circle 
A = πr2 
 
 
*Volume of rectangular solids: 
V = lwh 
 
 
Pythagorean theorem 
a2 + b2 = c2 
 
...
LPN PRE-ENTRANCE EXAM STUDY MATH REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024
LPN PRE-ENTRANCE EXAM STUDY MATH REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 
addends 
Numbers that are added together 
 
 
sum 
the answer to an addition problem 
 
 
minuend 
the number you subtract from in a subtraction problem 
 
 
subtrahend 
the number you subtract in a subtraction problem 
 
 
difference 
the answer to a subtraction problem 
 
 
factor 
a number that is multiplied by another number 
 
 
product 
the answer to a multiplication problem 
 
 
divisor 
the number that divide...
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LPN PRE-ENTRANCE EXAM STUDY MATH REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 
addends 
Numbers that are added together 
 
 
sum 
the answer to an addition problem 
 
 
minuend 
the number you subtract from in a subtraction problem 
 
 
subtrahend 
the number you subtract in a subtraction problem 
 
 
difference 
the answer to a subtraction problem 
 
 
factor 
a number that is multiplied by another number 
 
 
product 
the answer to a multiplication problem 
 
 
divisor 
the number that divide...
MATH 122 TEST 2 GVSU WITH COMPLETE SOLUTIONS 100% 2023/2024
MATH 122 TEST 2 GVSU WITH COMPLETE SOLUTIONS 100% 2023/2024 
end behavior 
degree lead coeff. behavior 
 
even + up-up 
even - down-down 
odd + down-up 
odd - up-down 
 
 
cross and bounce 
multiplicity- odd cross 
-even- bounce 
 
 
sketch graph 
end behavior 
cross/bounce 
 
 
test method 
test - 1 add all coefficients 
test - -1 add, make odd degrees opposite 
 
 
H. A rules 
n<m-y=0 
n=m- y=a/b 
n>m- no h.a , have o.a 
 
 
does h.a cross? 
plug into function and if get answer then it c...
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MATH 122 TEST 2 GVSU WITH COMPLETE SOLUTIONS 100% 2023/2024 
end behavior 
degree lead coeff. behavior 
 
even + up-up 
even - down-down 
odd + down-up 
odd - up-down 
 
 
cross and bounce 
multiplicity- odd cross 
-even- bounce 
 
 
sketch graph 
end behavior 
cross/bounce 
 
 
test method 
test - 1 add all coefficients 
test - -1 add, make odd degrees opposite 
 
 
H. A rules 
n<m-y=0 
n=m- y=a/b 
n>m- no h.a , have o.a 
 
 
does h.a cross? 
plug into function and if get answer then it c...
MATH DIAGNOSTIC TEST(STUDY) WITH COMPLETE SOLUTIONS 100% 2023/2024
MATH DIAGNOSTIC TEST(STUDY) WITH COMPLETE SOLUTIONS 100% 2023/2024 
Which of the following is equivalent to (frac{1}{200})? 
A. 1/2 of 1% 
 
B. 5% 
 
C. 2% 
 
D. (0.200) 
A. 1/2 of 1% 
 
 
Mr. Green had 30 pencils for his students. Three students wanted two pencils each. Then, a new student came to the school that day and he wanted three pencils. Then, one of the first three students gave their two pencils back. How many pencils did Mr. Green have left to pass out? Which formula provid...
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MATH DIAGNOSTIC TEST(STUDY) WITH COMPLETE SOLUTIONS 100% 2023/2024 
Which of the following is equivalent to (frac{1}{200})? 
A. 1/2 of 1% 
 
B. 5% 
 
C. 2% 
 
D. (0.200) 
A. 1/2 of 1% 
 
 
Mr. Green had 30 pencils for his students. Three students wanted two pencils each. Then, a new student came to the school that day and he wanted three pencils. Then, one of the first three students gave their two pencils back. How many pencils did Mr. Green have left to pass out? Which formula provid...
MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024
MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024 
Part 1 
Part 1 
 
 
Simplify 
 
(2a^3b)^-3 
(2^-3 a^(3 -3) * b^-3) 
 
2^-3 a^-9b^-3 
 
1/8a^9b^3 
 
 
Simplify 
 
(-4x^2y^-3)^-2 
y^6/16x^4 
 
 
Simplify 
 
Radical 1/64 
Radical 1/Radical 64 
 
1/8 
 
 
^3 Radical -27 
-3 
 
 
Complex numbers: 
Complex numbers 
 
 
Find x and y such that the following is correct: 
 
 
 
 
3x + 5yi= 15 + 5i 
3x + 5yc= 15 + 5c 
 
3x=15 and 5yc=5c 
 
x=5 and y=1 ...
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MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024 
Part 1 
Part 1 
 
 
Simplify 
 
(2a^3b)^-3 
(2^-3 a^(3 -3) * b^-3) 
 
2^-3 a^-9b^-3 
 
1/8a^9b^3 
 
 
Simplify 
 
(-4x^2y^-3)^-2 
y^6/16x^4 
 
 
Simplify 
 
Radical 1/64 
Radical 1/Radical 64 
 
1/8 
 
 
^3 Radical -27 
-3 
 
 
Complex numbers: 
Complex numbers 
 
 
Find x and y such that the following is correct: 
 
 
 
 
3x + 5yi= 15 + 5i 
3x + 5yc= 15 + 5c 
 
3x=15 and 5yc=5c 
 
x=5 and y=1 ...
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