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Exam (elaborations)

NCSSM Placement Exam – Comprehensive Guide, Subjects & Practice Resources

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The NCSSM Placement Exam is part of the admissions and academic readiness process for the North Carolina School of Science and Mathematics. It evaluates students’ proficiency in mathematics, science, and critical reasoning to ensure appropriate course placement. The exam emphasizes problem-solving, analytical thinking, and conceptual understanding. Study materials, practice tests, and review guides help students prepare effectively and demonstrate mastery for NCSSM’s rigorous academic environment.

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Institution
NCSSM Placement
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NCSSM Placement

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Uploaded on
October 12, 2025
Number of pages
58
Written in
2025/2026
Type
Exam (elaborations)
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Questions & answers

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NCSSM PLACEMENT Exam NEWEST 2025 COMPLETE
QUESTIONS AND CORRECT DETAILED ANSWERS
(VERIFIED ANSWERS) |ALREADY GRADED A+||BRAND
NEW VERSION!!




polynomial - CORRECT ANSWER- a monomial or a sum or difference of monomials



consistent system - CORRECT ANSWER- a system of equations or inequalities that has at least
one solution



dependent system - CORRECT ANSWER- a system of equations that has infinitely many
solutions



elimination method - CORRECT ANSWER- a method used to solve systems of equations in
which one variable is eliminated by adding or subtracting two equations of the system



inconsistent system - CORRECT ANSWER- a system of equations or inequalities that has no
solution



independent system - CORRECT ANSWER- a system of equations that has exactly one solution

binomial - CORRECT ANSWER- a polynomial with two terms



constant - CORRECT ANSWER- a value that does not change

,factor - CORRECT ANSWER- a number or expression that is multiplied by another number or
expression to get a product



monomial - CORRECT ANSWER- a number or a product of numbers and variables with whole-
number exponents, or a polynomial with one term

substitution method - CORRECT ANSWER- A method used to solve systems of equations by
solving an equation for one variable and substituting the resulting expression into the other
equation(s)



system of linear equations - CORRECT ANSWER- a system of equations in which all of the
equations are linear



correlation - CORRECT ANSWER- a measure of the strength an direction of the relationship
between two variables or data sets



correlation coefficient - CORRECT ANSWER- a number r greater than or equal to -1 and less
than or equal to 1, that describes how closely the points in a scatter plot cluster around the line
of best fit.



linear regression - CORRECT ANSWER- a statistical method used to fit a linear model to a given
data set



residual - CORRECT ANSWER- the signed vertical distance between a data point and a line of fit



X-Intercept - CORRECT ANSWER- The x-coordinate(s) of the point(s) where a graph intersects
the x-axis.

,Y-Intercept - CORRECT ANSWER- The y-coordinate(s) of the point(s) where a graph intersects
the y-axis.



Linear Function - CORRECT ANSWER- A function that can be written in the form y=mx+b,
where x is the independent variable and m and b are real numbers. Its graph is a line.



Rate - CORRECT ANSWER- A ratio that compares two quantities measured in different units.



Rate of Change - CORRECT ANSWER- A ratio that compares the amount of change in a
dependent variable to the amount of change in an independent variable.



Slope - CORRECT ANSWER- A measure of the steepness of a line.



Exponent - CORRECT ANSWER- The number that indicates how many times the base in a
power is used as a factor.



Exponential Expressions - CORRECT ANSWER- An algebraic expression in which the variable is
in an exponent with a fixed number as the base.



Exponential Function - CORRECT ANSWER- A function in the form f(x)=ab^x where a and b are
real numbers, a does not equal zero, b>0, and b does not equal 1.



Perfect Square - CORRECT ANSWER- A number whose positive square root is a whole number.



Exponential Growth - CORRECT ANSWER- An exponential function in the form y=a(1+r)^t,
where r is the rate of growth, a is the initial amount and t is the time.

, Exponential Decay - CORRECT ANSWER- An exponential function in this form, where r is the
rate of decay, a is the initial amount and t is the time.



Base - CORRECT ANSWER- The number in a power that is used as a factor.



Half-life - CORRECT ANSWER- The half-life of a substance is the time it takes for one-half of the
substance to decay into another substance.



arithmetic sequence - CORRECT ANSWER- A sequence whose successive terms differ by the
same nonzero number, called the "common difference".



common difference - CORRECT ANSWER- In an arithmetic sequence, the nonzero constant
difference of any term and the previous term.



dependent variable - CORRECT ANSWER- The output of a function; a variable whose value
depends on the value of the input, or independent variable.



domain - CORRECT ANSWER- The set of all inputs (generally x-values) of a relation or function.



function - CORRECT ANSWER- A relation in which ever domain value is paired with exactly one
range value.



function notation - CORRECT ANSWER- If x is the independent variable and y is the dependent
variable, than the function can be written as f(x), where f names the function.



independent variable - CORRECT ANSWER- The input of a function, a variable whose value
determines the value of the output, or dependent variable.

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