ALEKS Math Placement Exam (Latest 2023/ 2024 Update) Questions and Verified Answers| 100% Correct| Grade A

ALEKS Math Placement Exam (Latest 2023/ 2024 Update) Questions and Verified Answers| 100% Correct| Grade A

ALEKS Math Placement Exam (Latest 2023/
2024 Update) Questions and Verified
Answers| 100% Correct| Grade A
Q: how many regions makes up the surface area of a cylinder?
Answer:
three
Q: area of a circle
Answer:
(pi)r^2
Q: Total surface area of a cylinder
Answer:
2πrh + 2πr²
Q: if there is a negative exponent in the denominator
Answer:
put base & exponent in numerator
Q: length around whole shape
Answer:
perimeter

Q: circumference formula
Answer:
pi x diameter
Q: IAI < c Answer: -c < A < c Q: IAI < or equal to c Answer: -c < or equal to A < or equal to c Q: IAI > c
Answer:
A < -c OR A > c
Q: IAI > or equal to c
Answer:
A < or equal to -c OR A > or equal to c
Q: When c < 0, what happens to IAI < c & IAI < or equal to c?
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Positive Number
Any number greater than zero

Negative Number
Any number less than zero

Whole Number
Any “counting number” or zero

Integer
The whole numbers and their opposites

Even Number
Any integer divisible by 2

Odd Number
Any integer not divisible by 2

Sum
The result of two numbers being added

Difference
The result of one number being subtracted by another

Product
The result of two numbers being multiplied

Quotient
The result of one number being divided by another

Factor
A number that is multiplied to form the product

Greatest Common Factor
The greatest whole number that is a factor of two or more numbers

Multiples
The product of a number and a counting number

Least Common Multiple
The least whole number that is a multiple of two or more numbers

Prime
A number greater than one whose only whole number factors are one and itself

Composite
A number greater than one with more than two whole number factors

Real
All positive and negative numbers and zero

Rational
Any number that can be expressed as the quotient of two integers

Irrational
Real numbers that are not rational

How to find Percent Increase or Decrease
Difference/Original = Percent Increase or Decrease

Average Problems
Average x Number = Total

Simple Probability Problems
Outcomes giving desired result/Total possible outcomes

Conditional Probability
The probability of an event, given another event has already occurred.
Ex: 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.

how many regions makes up the surface area of a cylindar?
three

area of a circle
(pi)r^2

Total surface area of a cylinder
2πrh + 2πr²

if there is a negative exponent in the denominator
put base & exponent in numerator

length around whole shape
perimeter

circumference formula
pi x diameter

IAI < c
-c < A < c

IAI < or equal to c
-c < or equal to A < or equal to c

IAI > c
A < -c OR A > c

IAI > or equal to c
A < or equal to -c OR A > or equal to c

When c < 0, what happens to IAI < c & IAI < or equal to c?
no solutions

When c < 0, what happens to IAI > c & IAI > or equal to c?
true for all values A

When graphically solving a system of linear equations, what does it mean when the lines intersect at a single point?
exactly one solution

When graphically solving a system of linear equations, what does it mean when two lines are the same?
infinite solutions

When graphically solving a system of linear equations, what does it mean when two lines are different are parallel?
no solution

direct variation
the ration y/x is constant, y=kx (k doesnt equal 0)

inverse variation
the product yx remains constant, y= k/x (k doesnt equal 0)

joint variation
the ration y/xz remains constant, y/kxz (k doesnt equal 0)

(^n√a)(^n√b)=
^n√ab (product rule)

(b doesnt equal 0) (^n√a)/(^n√b)
^n√a/b (quotient rule)

(for a > or equal to 0) (^n√a^m)
(^n√a)^m (root of a power)

(for n even & odd) ^n√a^n
a (root of a power)

^m√^n√a
^mn√a (root of a root)

perfect cubes
8 = 2^3
27 = 3^3
64 = 4^3
125 = 5^3

perfect fourth powers
16 = 2^4
81 = 3^4
256 = 4^4

perfect fifth powers
32 = 2^5
243= 3^5