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ALEKS MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024
ALEKS MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
Simplify x/x^6 
1/x^5 
 
 
Interger 
Positive or negative number. (NOT FRACTION/DECIMAL) 
 
 
To find percentage 
divide 100 by the number done 65/39 
 
 

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- Exam (elaborations)
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ALEKS MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
Simplify x/x^6 
1/x^5 
 
 
Interger 
Positive or negative number. (NOT FRACTION/DECIMAL) 
 
 
To find percentage 
divide 100 by the number done 65/39 
 
 

ALEKS MATH PREP WITH COMPLETE SOLUTIONS 100% 2023/2024
ALEKS MATH PREP WITH COMPLETE SOLUTIONS 100% 2023/2024 
1 oz = ___ grams 
28.4 grams 
 
 
1 liter = ____ pints 
2.1 pints 
 
 
1 mile = ____ kilometers 
1.6 km 
 
 
1 inch = ___ cm 
2.54 cm 
 
 
Circumference 
Distance around the circle 
 
 
circumference 
C=2πr 
 
 
Area of a rectangle 
A=lw 
 
 
Area of a triangle 
A=1/2bh 
 
 
Area of a parallelogram 
A=bh 
 
 
Area of a trapezoid 
A=1/2(b1+b2)h 
 
 
Area of a circle 
A=πr² 
 
 
Area of a square 
A=s² 
 
 
Volume of a Pyramid/Cone 
v=1/3B...
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ALEKS MATH PREP WITH COMPLETE SOLUTIONS 100% 2023/2024 
1 oz = ___ grams 
28.4 grams 
 
 
1 liter = ____ pints 
2.1 pints 
 
 
1 mile = ____ kilometers 
1.6 km 
 
 
1 inch = ___ cm 
2.54 cm 
 
 
Circumference 
Distance around the circle 
 
 
circumference 
C=2πr 
 
 
Area of a rectangle 
A=lw 
 
 
Area of a triangle 
A=1/2bh 
 
 
Area of a parallelogram 
A=bh 
 
 
Area of a trapezoid 
A=1/2(b1+b2)h 
 
 
Area of a circle 
A=πr² 
 
 
Area of a square 
A=s² 
 
 
Volume of a Pyramid/Cone 
v=1/3B...
ALEKS PLACEMENT TEST: CHEMISTRY WITH COMPLETE SOLUTIONS 100% 2023/2024
ALEKS PLACEMENT TEST: CHEMISTRY WITH COMPLETE SOLUTIONS 100% 2023/2024 
Matter 
Anything that has mass and takes up space; made of atoms 
 
 
Atoms 
Basic unit of matter which cannot be broken down and contain mostly empty space; contains three parts: the electron, proton, and neutron 
 
 
Elements 
A pure substance that contains only one type of atom 
 
 
Compound 
Two or more elements that are chemically bonded; includes ionic and covalent 
 
 
Mixture 
Two or more substances that are together...
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ALEKS PLACEMENT TEST: CHEMISTRY WITH COMPLETE SOLUTIONS 100% 2023/2024 
Matter 
Anything that has mass and takes up space; made of atoms 
 
 
Atoms 
Basic unit of matter which cannot be broken down and contain mostly empty space; contains three parts: the electron, proton, and neutron 
 
 
Elements 
A pure substance that contains only one type of atom 
 
 
Compound 
Two or more elements that are chemically bonded; includes ionic and covalent 
 
 
Mixture 
Two or more substances that are together...
ALEKS PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
ALEKS PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
Communative Property 
number order can be changed without changing answer 
 
 
associative property 
changing grouping of numbers does not change value 
 
 
identity property 
adding 0 / multiplying by 1 does not change value of number 
 
 
zero property 
product of a number and zero equals zero 
 
 
scalene triangle 
no congruent sides 
 
 
isoceles triangle 
two congruent sides 
 
 
equilateral triangle 
all congruent sides 
 
 
poly...
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- Exam (elaborations)
- • 6 pages •
ALEKS PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
Communative Property 
number order can be changed without changing answer 
 
 
associative property 
changing grouping of numbers does not change value 
 
 
identity property 
adding 0 / multiplying by 1 does not change value of number 
 
 
zero property 
product of a number and zero equals zero 
 
 
scalene triangle 
no congruent sides 
 
 
isoceles triangle 
two congruent sides 
 
 
equilateral triangle 
all congruent sides 
 
 
poly...
ALEKS WITH COMPLETE SOLUTIONS 100% 2023/2024
ALEKS WITH COMPLETE SOLUTIONS 100% 2023/2024 
Quadratic Formula 
-b±[√b²-4ac]/2a 
 
 
Slope 
(y₂-y₁)/(x₂-x₁) 
 
 
Slope-Intercept 
y=mx+b 
 
 
a³-b³ 
(a-b)(a²+ab+b²) 
 
 
a³+b³ 
(a+b)(a²-ab+b²) 
 
 
a²-b² 
(a-b)(a+b) 
 
 
a²-2ab+b² 
(a-b)² 
 
 
a²+2ab+b² 
(a+b)² 
 
 
(a+b)(c+d) 
ac+ad+bc+bd 
 
 
a(b+c) 
ab+ac 
 
 
sine ratio 
opposite ÷ hypotenuse 
 
 
cosine ratio 
adjacent ÷ hypotenuse 
 
 
tangent ratio 
opposite ÷ adjacent 
 
 
Direct Variation 
y=kx
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ALEKS WITH COMPLETE SOLUTIONS 100% 2023/2024 
Quadratic Formula 
-b±[√b²-4ac]/2a 
 
 
Slope 
(y₂-y₁)/(x₂-x₁) 
 
 
Slope-Intercept 
y=mx+b 
 
 
a³-b³ 
(a-b)(a²+ab+b²) 
 
 
a³+b³ 
(a+b)(a²-ab+b²) 
 
 
a²-b² 
(a-b)(a+b) 
 
 
a²-2ab+b² 
(a-b)² 
 
 
a²+2ab+b² 
(a+b)² 
 
 
(a+b)(c+d) 
ac+ad+bc+bd 
 
 
a(b+c) 
ab+ac 
 
 
sine ratio 
opposite ÷ hypotenuse 
 
 
cosine ratio 
adjacent ÷ hypotenuse 
 
 
tangent ratio 
opposite ÷ adjacent 
 
 
Direct Variation 
y=kx
ALGEBRA 2 PLACEMENT TEST PRACTICE WITH COMPLETE SOLUTIONS 100% 2023/2024
ALGEBRA 2 PLACEMENT TEST PRACTICE WITH COMPLETE SOLUTIONS 100% 2023/2024 
Zero and negative exponents 
* 
 
 
Absolute value equations 
* 
 
 
Factoring ax^2 + bx c 
* 
 
 
Factoring ax2 + bx + c (where a =1) 
* 
 
 
Factoring Perfect Square 
* 
 
 
Zero Product Property to Solve Quadratic Equations 
* 
 
 
Solving Quadratic Equations by Completing the Square 
* 
 
 
Solving Quadratic Equations with the Quadratic Formula 
* 
 
 
Point-slope Form 
* 
 
 
Solving Systems by Elimination 
**********...
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- Exam (elaborations)
- • 3 pages •
ALGEBRA 2 PLACEMENT TEST PRACTICE WITH COMPLETE SOLUTIONS 100% 2023/2024 
Zero and negative exponents 
* 
 
 
Absolute value equations 
* 
 
 
Factoring ax^2 + bx c 
* 
 
 
Factoring ax2 + bx + c (where a =1) 
* 
 
 
Factoring Perfect Square 
* 
 
 
Zero Product Property to Solve Quadratic Equations 
* 
 
 
Solving Quadratic Equations by Completing the Square 
* 
 
 
Solving Quadratic Equations with the Quadratic Formula 
* 
 
 
Point-slope Form 
* 
 
 
Solving Systems by Elimination 
**********...
ALGEBRA PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
ALGEBRA PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
John's car insurance premium is $1515.00. He has the option of making four equal payments but will be charged an additional $25 processing fee. If he chooses the four-payment option, what is the amount of each payment? 
1515 + 25 = 1540 
 
1540/4 = 385.00 per payment 
 
 
A shipment of 1344 CD's is to be packed into cartons containing 24 CD's each. How many cartons are necessary to ship these CD's? 
1344/24 = 56 cartons 
 
 
A lo...
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ALGEBRA PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
John's car insurance premium is $1515.00. He has the option of making four equal payments but will be charged an additional $25 processing fee. If he chooses the four-payment option, what is the amount of each payment? 
1515 + 25 = 1540 
 
1540/4 = 385.00 per payment 
 
 
A shipment of 1344 CD's is to be packed into cartons containing 24 CD's each. How many cartons are necessary to ship these CD's? 
1344/24 = 56 cartons 
 
 
A lo...
ALGEBRA PLACEMENT TEST REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024
ALGEBRA PLACEMENT TEST REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 
Solving for variables 
Ex: (2x^3 y)(6x^2 y^4) 
Remove parentesess 
Group 
Solve 
2x^3 y6x^2 y^4 
(2•6)(x^3•x^2)(y•y^4) 
(12)(x^5)(y^5) 
12x^5 y^5 
 
 
Solving Algebraic expressions 
Solve for exponents 
Group like terms 
Solve 
 
 
Negative exponents 
Negative exponents are dividing instead of multiplying 
Ex: 
5^-2= 
 
1 1 
---- = ---- 
5^2 25 
 
 
Systems of equations word problem 
The equations are 
x+y= total 
ax+bx=...
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- Exam (elaborations)
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ALGEBRA PLACEMENT TEST REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 
Solving for variables 
Ex: (2x^3 y)(6x^2 y^4) 
Remove parentesess 
Group 
Solve 
2x^3 y6x^2 y^4 
(2•6)(x^3•x^2)(y•y^4) 
(12)(x^5)(y^5) 
12x^5 y^5 
 
 
Solving Algebraic expressions 
Solve for exponents 
Group like terms 
Solve 
 
 
Negative exponents 
Negative exponents are dividing instead of multiplying 
Ex: 
5^-2= 
 
1 1 
---- = ---- 
5^2 25 
 
 
Systems of equations word problem 
The equations are 
x+y= total 
ax+bx=...
ALGEBRA PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
ALGEBRA PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
Lesson 1 
Properties of Exponents 
 
 
product of powers property 
 
 
quotient of powers property 
 
 
power of a power property 
 
 
power of a product property 
 
 
power of a quotient property 
 
 
zero exponent 
 
 
negative exponent 
 
 
rational exponent 
 
 
Lesson 2 
exponential growth and decay 
 
 
exponential growth 
y= initial amount(1 + rate)^time 
 
 
exponential decay 
y= initial amount(1-rate)^time 
 
 
Lesson 3 (wor...
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ALGEBRA PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
Lesson 1 
Properties of Exponents 
 
 
product of powers property 
 
 
quotient of powers property 
 
 
power of a power property 
 
 
power of a product property 
 
 
power of a quotient property 
 
 
zero exponent 
 
 
negative exponent 
 
 
rational exponent 
 
 
Lesson 2 
exponential growth and decay 
 
 
exponential growth 
y= initial amount(1 + rate)^time 
 
 
exponential decay 
y= initial amount(1-rate)^time 
 
 
Lesson 3 (wor...
ASSESSMENT STRATEGIES WITH COMPLETE SOLUTIONS 100% 2023/2024
ASSESSMENT STRATEGIES WITH COMPLETE SOLUTIONS 100% 2023/2024 
What is a placement assessment? 
A placement assessment determines prerequisite skills, degree of mastery of course goals, and/or best mode of learning. Illustrative examples used are readiness tests, aptitude tests, pretests on course objectives, self-report inventories, and observational techniques. 
 
 
Define formative assessment and give examples of illustrative instruments. 
Formative assessments determine learning progress, pro...
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ASSESSMENT STRATEGIES WITH COMPLETE SOLUTIONS 100% 2023/2024 
What is a placement assessment? 
A placement assessment determines prerequisite skills, degree of mastery of course goals, and/or best mode of learning. Illustrative examples used are readiness tests, aptitude tests, pretests on course objectives, self-report inventories, and observational techniques. 
 
 
Define formative assessment and give examples of illustrative instruments. 
Formative assessments determine learning progress, pro...
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