ALEKS Answers Key 2023: Access for Free and Ace Your ALEKS Exam

If you are looking for a FREE, all-inclusive ALEKS answer key that covers all topics, you have come to the correct place. You will find extensive resources and materials to help you easily pass the ALEKS exam. Whether you are struggling with algebraic concepts, trigonometric functions, or any other difficult topic, our extensive ALEKS answers can provide the guidance and support you need to succeed. Therefore, why seek elsewhere when you can find everything you require here? Examine our ALEKS answer key right away and begin preparing for success.

What is ALEKS?

Assessment and Learning in knowledge spaces, or Alek, is an online educational platform for k-12 and higher education in subjects like chemistry, statistics, accounting, and mathematics used to determine how well a student knows a particular subject. 

The platform utilizes adaptive questioning by asking questions that cover the course material, assessing wrong answers, and giving feedback for each problem to determine the areas of coursework you are conversant with and the ones you need to improve on.

Why should you enroll in Aleks courses?

This program is used by students worldwide to make learning systematic and fun. Aleks reassesses the candidates to ensure they grasp and retain knowledge in all topics learned. It provides students with information about what they do and don't know to enable them to apply more effort to areas they didn't do well.

Education stakeholders have evaluated and approved Aleks's platform for years to ascertain its suitability for teaching concepts and helping students gain knowledge. Through research and constant improvement on the subjects offered, the platform has introduced several types of assessment ranging from basic recall to deep conceptual understanding that goes into depth regarding the type of subject.

Can I cheat on Aleks?

After enrolling for the Aleks course, questions about cheating always come up. Cheating directly while appearing for assessment is impossible. Aleks is an electronic webpage that detects if you are cheating. The surveys conducted about the program have suggested that cheating in Aleks is more difficult than in the actual classroom.

Are there genuine Aleks answers online?

Most students in the Alek courses wonder if they can find answers to Alek questions online or have come across platforms purporting to sell real Alek questions and answers. 

You may be tempted to spend your hard-earned money to buy these papers to pass your test. PLEASE DON'T. I hate to break it to you, but you won't find real Aleks's answers online. The Alek system randomly regenerates all the questions and tests, making it impossible to find the questions or answers online. But worry, you can contact our professional tutors at Acemyhomework to help with Aleks's answers.

Which answers can I find on Aleks courses?

You can get answers to all questions with a step by step procedures on how they arrived at the answer. They will also assist you in any field or subject of your choice and help you solve whatever question is giving you a headache, including:

• Answers to Aleks math problems, such as geometry, algebra, trigonometry, and calculus
• Aleks accounting answers for topics in finance, accounting, public accounting, personal, forensic, internal auditing, and taxation.
• Aleks answers in chemistry, atomic structure, chemical reactions
• Aleks answers in statistics

Free Access to the ALEKS Answers Key - Ace Your Exam Today!

Here is a comprehensive list of ALEKS topics, from which you may select any subject and receive free answers. 

• ALEKS Chemistry Answers
• ALEKS Maths Answers
• ALEKS Probability & Statistics Answers
• ALEKS Algebra 1 & 2 Answers
• ALEKS Geometry Answers
• ALEKS Accounting Answers

Choose any of these topics that correspond with your current academic requirements and gain access to the corresponding free answers.

This section will discuss all the math topics, math test questions and answers, and the frequently asked question in ALEKS from K-12 grade to higher education.

ALEKS Chemistry Answers

Chemistry is a branch of science that deals with substances' properties, composition, and structure.

Questions in chemistry

1. Identify the Lewis acid in K3[Al(C2O4)3].
a) K+
b) Al
c) Al3+
d) [Al(C2O4)3]3-

Answer: c
Explanation: Aluminium ion is the Lewis acid as it can accept 3 electrons from the donor atom to form the complex [Al(C2O4)3]3-.

2. Which of the following is the central atom/ion in [CoCl(NH3)5]2+?
a) Co
b) Co2+
c) Co3+
d) Cl–

Answer: c
Explanation: The central ion in the given complex ion is cobalt, which accepts electrons to bond with the Cl atom and ammonia molecules. Since the primary valence of Co in this compound is +3, the ion in Co3+.

ALEKS Statistics answers

Statistics is the branch of science that studies and develops methods for gathering, analyzing, interpreting, and presenting empirical data.

Descriptive Statistics: Descriptive statistics use data to describe a population through numerical calculations, graphs, and tables. Data is typically arranged and displayed in tables or graphs summarizing details such as histograms, pie charts, bars, or scatter plots.

Inferential Statistics- Inferential Statistics uses a sample of data from the population to form inferences and predictions about the population. It uses probability to derive a conclusion after generalizing a huge dataset. 

Mean - It is a metric for calculating the average of all values in a sample set.

Median - It is a measure of a sample set's central value. The data set is sorted from the lowest to the highest value, and then the precise middle is determined.

Mode - The value most frequently in the core set is the mode. 

Range measures how values in a sample set or data set are spaced apart.

Range= maximum value-minimum value

Variance expresses how far a random variable deviates from its expected value and can be calculated as a square of deviation.

\[S^2 = \sum_{i=1} ^{n} (x_i - \bar {x})^2 \div n\]

n represents total data points, x represents the mean, and xi represents individual data points in these formulas. 

Dispersion measures how far a set of data deviates from its mean.

σ = \[\sqrt{(1 \div n) \sum _{i=1} ^{n} (x_i - \mu)^2}\]

Statistics Questions

Here are some basic statistics questions and answers to solve and practice. 

Question 1: Value of Mean and Mode are Given as 30 and 15, respectively. Value of Median is -

(a) 25

(b) 26

(c) 24.5

(d) 22.5

Solution: The answer is option (a) 25. Mean – Mode = 3 (Mean – Median) is the relation between mean, median, and mode. Substituting the value, the equation becomes 30 – 15 = 3 (30 – Median). On solving, the median comes to 25.

Question 2: Which Among the Following Cannot be Represented Graphically?

(a) Median 

(b) Mean 

(c) Mode 

(d) None of the above option 

Solution: The answer is option (b). Mean is a specific value derived from the sum of all values and divided by the number of times values. Given that this value is single and cannot be compared with other values, its graphical representation is not feasible. 

Aleks Probability Answers 

Probability is the chance of occurrence in a random event.

Types of Probability

• Simple Probability Problems
  Outcomes giving desired result/Total possible outcomes
• Conditional Probability
  The probability of an event, given another event, has already occurred. Example. The probability that a playing card from a standard deck is a 5, given that it is red, is 2/26.
• Joint Probability
  The probability of two events occurring at the same time. Ex: The Probability that a playing card from a standard deck is red and a 5 is 2/52.

Probability Formula: If an event E occurs, then the empirical probability of an event to happen is:

P(E) = number of trials in which the event happened/Total number of trials

The theoretical probability of an event E, P(E), is defined as:

P(E) = (Number of outcomes favourable to E)/(Number of all possible outcomes of the experiment)

Impossible event: The probability of an occurrence/event being impossible is 0. Such an event is called an impossible event.

Sure event: The probability of an event sure to occur is 1. Such an event is known as a certain event or a certain event.

Probability Questions & Answers

Question 1. Two coins are tossed 500 times, and we get:

Two heads: 105 times

One head: 275 times

No head: 120 times

Find the probability of each event occurring.

Solution: Let us say the events of getting two heads, one head, and no head, by E1, E2, and E3, respectively.

P(E1) = 105/500 = 0.21

P(E2) = 275/500 = 0.55

P(E3) = 120/500 = 0.24

The sum of probabilities of all elementary events of a random experiment is 1.

P(E1)+P(E2)+P(E3) = 0.21+0.55+0.24 = 1

Example 2: A bucket contains 5 blue, 4 green, and 5 red balls. Sudheer is asked to pick 2 balls randomly from the bucket without replacement, and then one more ball will be picked. What is the probability he picked 2 green balls and 1 blue ball?

• Solution: Total Number of balls = 14
• Probability of drawing 
• 1 green ball = 4/14
• another green ball = 3/13
• 1 blue ball = 5/12
• Probability of picking 2 green balls and 1 blue ball = 4/14 * 3/13 * 5/12 = 5/182.

Algebra is the branch of mathematics that helps represent problems or situations through mathematical expressions. It involves variables like x, y, and z and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

An algebraic expression in algebra is formed using constants, variables, and basic arithmetic operations of addition(+), subtraction (-), multiplication(×), and division (/). 

Properties of algebra

The basic rules or properties of algebra for variables, algebraic expressions, or real numbers a, b, and c are as given below,

• Commutative properties of Addition: a + b = b + a
• Commutative property of multiplication; a × b = b × a
• Associative Property of Addition;  a + (b + c) = (a + b) + c
• Associative property of multiplication;  a × (b × c) = (a × b) × c
• Distributive property; a × (b + c) = (a × b) + (a × c), or, a × (b - c) = (a × b) - (a × c)
• Reciprocal; Reciprical of a = 1/a
• Additive Identity property a + 0 = 0 + a = a
• Multiplicative Identity Property; a × 1 = 1 × a = a
• Additive inverse a + (-a) = 0

An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers, and x is a variable. Further, the variables can be simple, using alphabets like x, y, and z, or complex variables like x2, x3, xn, xy, x2y, etc. 

Algebraic expressions are also known as polynomials. A polynomial is an expression consisting of variables (indeterminates), coefficients, and non-negative integer exponents of variables. Example: 5x3 + 4x2 + 7x + 2 = 0

Algebraic formula

It is an equation that is always true regardless of the values assigned to the variables. These formulae involve squares and cubes of algebraic expressions and help in solving the algebraic expressions in a few quick steps. The frequently used algebraic formulas are listed below.

•  (a + b)2 = a2 + b2 + 2ab
• (a – b)2 = a2 + b2 – 2ab
• a2 – b2 = (a + b)(a – b)
• a2 + b2 = (a + b)2 – 2ab = (a – b)2 + 2ab
• a3 + b3 = (a + b)(a2 – ab + b2)
• a3 – b3 = (a – b)(a2 + ab + b2)
• (a + b)3 = a3 + 3ab(a + b) + b3
• (a – b)3 = a3 – 3ab(a – b) – b3

Let us see the application of these formulas in algebra using the following example,

Question 1: Solve, (x-1)2 = [4√(x-4)]2
Solution: x2-2x+1 = 16(x-4)

x2-2x+1 = 16x-64

x2-18x+65 = 0

(x-13) (x-5) = 0

Hence, x = 13 and x = 5.

Question 2: Solve (2x+y)2

Solution: Using the identity: (a+b)2 = a2 + b2 + 2 ab, we get;

(2x+y) = (2x)2 + y2 + 2.2x.y = 4x2 + y2 + 4xy

Question 3: Solve (99)2 using the algebraic identity.

Solution: We can write 99 = 100 -1

Therefore, (100 – 1 )2

= 1002 + 12 – 2 x 100 x 1  [By identity: (a -b)2 = a2 + b2 – 2ab

= 10000 + 1 – 200

= 9801

Question 4: There are 47 boys in the class. This is three more than four times the number of girls. How many girls are there in the class?

Solution: Let the number of girls be x

As per the given statement,

4 x + 3 = 47

4x = 47 – 3

x = 44/4

x = 11

ALEKS Geometry Answers

Geometry is a discipline of mathematics that studies various forms of shapes and sizes of real-world objects. We study different angles, transformations, and similarities of figures in geometry.

The fundamentals of geometry are based on point, line, angle, and plane concepts. These fundamental geometrical concepts govern all geometrical shapes.

• 2D shapes in Geometry

Flat shapes like squares, circles, and triangles are a part of flat geometry. These shapes have only 2 dimensions, the length, and the width.

• 3D Shapes in Geometry

A 3D can be defined as a solid figure, object, or shape with three dimensions: length, width, and height. A cube, rectangular prism, sphere, cone, and cylinder are the basic 3-dimensional shapes.

Angles

An angle can be defined as the figure formed by two rays meeting at a common endpoint. The symbol represents an angle ∠. Angles are measured in degrees (°) using a protractor. For example, 45 degrees is represented as 45°. 

Classification of angles based on measurements

• Acute angle; an angle less than 90 degrees
• Obtuse angle; an angle between 90 and 180 degrees
• Right angle; a 90-degree angle
• Supplement angles; one angle of a pair whose measures add up to 180
• Supplementary; two angles that add up to 180 degrees
• Linear pair; adjacent angles whose non-common sides are opposite rays (supplementary)
• Angle additional property; two or more adjacent angles can be added to form a single larger angle
• Vertex angle; an angle formed by the legs of an isosceles triangle
• Isosceles triangle; a triangle with two equal/ congruent sides
• Complementary angles; two angles whose sum is 90 degrees
• Complement angle; an angle whose sum is 90 degrees
• Vertical angles; two angles formed by intersecting lines

Example

Question 1: The length of a rectangle is 3 more inches than its breadth. The area of the rectangle is 40 in2. What is the perimeter of the rectangle?

Solution:

Given: Area = 40 in2.

Let "l" be the length and "b" be the breadth of the rectangle.

According to the given question,

b = b and l = 3+b

We know that the area of a rectangle is lb units.

So, 40 = (3+b)b

40 = 3b +b2

This can be written as b2+3b-40 = 0

On factoring the above equation, we get b= 5 and b= -8.

Since the length value cannot be negative, we have b = 5 inches.

Substitute b = 5 in l = 3 + b, we get

l = 3 + 5 = 8 inches.

As we know, the perimeter of a rectangle is 2(l+b) units

P = 2 ( 8 + 5)

P = 2 (13) = 26

Hence, the perimeter of a rectangle is 26 inches.

Question 2: What is the area of a circle in terms of π, whose diameter is 16 cm?

Solution:

Given: Diameter = 16 cm.

Hence, radius, r = 8 cm

We know that the area of a circle = πr2 square units.

Now, substitute r = 8 cm in the formula, and we get

A = π(8)2 cm2

A = 64π cm2

Hence, the area of a circle whose diameter is 16 cm = 64π cm2.

Question 3: Find the curved surface area of a hemisphere whose radius is 14 cm.

Solution:

Given: Radius = 14 cm.

As we know, the curved surface area of a hemisphere is 2πr2 square units.

CSA of hemisphere = 2×(22/7)×14×14

CSA = 2×22×2×14

CSA = 1232

Hence, the curved surface area of a hemisphere is 1232 cm2.

Question 4: Find the volume of a cone in terms π, whose radius is 3 cm and height is 4 cm.

Solution:

Given: Radius = 3 cm

Height = 4 cm

We know that the formula to find the volume of a cone is V = (⅓)πr2h cubic units.

Now, substitute the values in the formula, and we get

V = (⅓)π(3)2(4)

V = π(3)(4)

V = 12π cm3

Hence, the volume of a cone in terms of π is 12π cm3.

1. Aleks answers on Accounting 

This is a branch of math that deals with saving and spending money.

Millicent is planning to travel to the United States of America in 3 years. She estimated that her vacation would cost $1,236,000. Given the current interest rate of 6%, how much money should she invest now?

1. A. $999,769.43
2. B. $1,027,869.53
3. C. $1,037,769.43
4. D. $1,250,869.53

Solution

Let's use the formula to determine the future value of compound interest:

FV = PV*(1+r)^n

where FV is the future value;

 PV is the present value;

 r is the interest rate.

In our case, the FV is $1,236,000,  r is 6%, n is 3 years, and we need to find the present value (PV)

PV = FV / (1+r)^n = 1,236,000 / (1+0,06)^3 = $1,037,769.43

Millicent must invest $1,037,769.43 now to have $1,230,000 in 3 years at 6% per annum

Answer: C. $1,037,769.43

Keys points to master in math.

Math Formulas 

• Area of a circle; A= πr²
• Pythagorean theorem; a²+b²=c²
• Area of a parallelogram; A=bh
• Area of a trapezoid; A=1/2h(b1+b2)
• The volume of a cylinder; V=πr²h
• Circumference of a circle; C=2πr
• Area of a rectangle; A=lw
• Area of a triangle; A=1/2bh
• Area of a square; A=s²
• The volume of a Pyramid/Cone; v=1/3Bh
• The volume of a cylinder; V=Bh
• The volume of a sphere; is 4/3πr³
• Quadratic Formula; -b±[√b²-4ac]/2a
• Slope; (y₂-y₁)/(x₂-x₁)
• Slope-Intercept; y=mx+b
• Interest earned; Amount invested x rate = interest earned
• Distance; rate x time
• Velocity formula; v=d/t
• The perimeter of a rectangle
  2Length + 2width [or (length + width) x 2]
• The perimeter of a square
  4s (where, s = length of a side)
• Area of a sector
   x°/360 times (∏r²), where x is the degrees in the angle
• length of a sector
  x°/360 times (2 pi r), where x is the degrees in the angle

Quantity conversions

• Is it one foot? 12 inches
• 1 oz = 28.4 grams
• 1 liter = 2.1 pints
• 1 mile = 1.6 kilometers
• 1 inch = 2.54 cm

Graphs

Everything you need to know about graphs

• Vertical line test; if any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.
• When drawing a graph  for ≥, ≤ use a solid line
• When drawing a graph for  >, < use a dotted line
• A function can have the same y coordinate but not the same x coordinate.
• How do you know which side to shade when graphing inequalities?
  Create a test point (usually (0,0). If the resulting point is TRUE, Shade the side that includes the test point.
• 4 basic types of transformations; reflection, rotation, translation, dilation
• Direct Variation; y=kx
• Inverse Variation; y=k/x
• Point-Slope form; y-y₁=m(x-x₁)
• Standard form; Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero and where A is not a negative
• Undefined; When there is a vertical line with different y points but the same x point.
• Zero; When there is a horizontal line that has different x points, but the same y point
• Dividing by a negative number in an inequality, You must flip the sign

Slopes

• For any flat line, the slope is always: m=0
• For any vertical line, the slope is always: Undefined, with no slope
• Slope formula; m=y2-y1/x2-x1
• Slope formula; y2-y1/x2-x1
• No slope; zero on bottom
• Zero slopes; 0/6
• Slope-intercept form; y=mx+b
• Point-slope form; y-y1=m(x-x1)
• Vertical slope; undefined

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