NYSTCE Childhood Math 222 Test with
Accurate Solutions
Integer - ANSWER-set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number - ANSWER-whole number greater than one, only has two factors (itself
and 1)
Composite number - ANSWER-whole number greater than one, has more than two
factors
Even number - ANSWER-any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number - ANSWER-any integer that cannot be evenly divided by 2
Decimal number - ANSWER-number that uses decimal point to show the part of the
number that is less than one
Decimal point - ANSWER-symbol used to separate the ones place from the tenths place
in decimals or dollars from cents in currency
Conditional inequality - ANSWER-certain values for the variable will make the condition
true and other values will make the condition false
Weighted mean - ANSWER-w1x1+w2x2+w3x3.../w1+w2+w3...
Midpoint - ANSWER-
Distance between two points - ANSWER-
Systems of equations - ANSWER-set of simultaneous equations that all use same
variables
Substitution - ANSWER-way to solve system of equations
ie solve for x in one equation then substitute into 2nd equation
Elimination - ANSWER-rewrite both equations into standard form Ax+By=C
then find way to eliminate coefficients of one pair, multiply if needed
, Multiply binomials - ANSWER-FOIL
Dividing polynomials - ANSWER-
Rational Expressions - ANSWER-fractions with polynomials in both numerator and
denominator
Factoring a polynomial - ANSWER-look for greatest common factors
Quadratic equations - ANSWER-ax^2 + bx + c = 0
Quadratic formula - ANSWER-
Quadratic equations can be solved... - ANSWER-1. using factoring
2. completing the square
3. using the formula
Function f(x) - ANSWER-an equation that has exactly one value of output variable for
each value of input variable
Domain - ANSWER-All input variables, typically x values
Range - ANSWER-all output variables, typically y values
Vertical line test - ANSWER-if a vertical line is drawn through any value of x crosses
graph in more than one place, equation is not a function
Discontinuities - ANSWER-If a graph cannot be drawn as one continuous line, any
vertical asymptotes or holes
Manipulations of functions - ANSWER-1. Horizontal shift - constant added/subtracted to
x portion of graph
2. Vertical shift - constant added/subtracted to y portion of graph
3. Stretch, compression, reflection - when different parts of a function are multiplied by
different groups of constants
Classification of functions - ANSWER-1. Constant, y = b
2. Identity, y = x
3. Linear, y=mx+b
4. Polynomial
5. Quadratic, y = ax^2 + bx + c
6. Rational, f(x) = p(x) / q(x)
7. Square root
8. Absolute value
9. Exponential
Accurate Solutions
Integer - ANSWER-set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number - ANSWER-whole number greater than one, only has two factors (itself
and 1)
Composite number - ANSWER-whole number greater than one, has more than two
factors
Even number - ANSWER-any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number - ANSWER-any integer that cannot be evenly divided by 2
Decimal number - ANSWER-number that uses decimal point to show the part of the
number that is less than one
Decimal point - ANSWER-symbol used to separate the ones place from the tenths place
in decimals or dollars from cents in currency
Conditional inequality - ANSWER-certain values for the variable will make the condition
true and other values will make the condition false
Weighted mean - ANSWER-w1x1+w2x2+w3x3.../w1+w2+w3...
Midpoint - ANSWER-
Distance between two points - ANSWER-
Systems of equations - ANSWER-set of simultaneous equations that all use same
variables
Substitution - ANSWER-way to solve system of equations
ie solve for x in one equation then substitute into 2nd equation
Elimination - ANSWER-rewrite both equations into standard form Ax+By=C
then find way to eliminate coefficients of one pair, multiply if needed
, Multiply binomials - ANSWER-FOIL
Dividing polynomials - ANSWER-
Rational Expressions - ANSWER-fractions with polynomials in both numerator and
denominator
Factoring a polynomial - ANSWER-look for greatest common factors
Quadratic equations - ANSWER-ax^2 + bx + c = 0
Quadratic formula - ANSWER-
Quadratic equations can be solved... - ANSWER-1. using factoring
2. completing the square
3. using the formula
Function f(x) - ANSWER-an equation that has exactly one value of output variable for
each value of input variable
Domain - ANSWER-All input variables, typically x values
Range - ANSWER-all output variables, typically y values
Vertical line test - ANSWER-if a vertical line is drawn through any value of x crosses
graph in more than one place, equation is not a function
Discontinuities - ANSWER-If a graph cannot be drawn as one continuous line, any
vertical asymptotes or holes
Manipulations of functions - ANSWER-1. Horizontal shift - constant added/subtracted to
x portion of graph
2. Vertical shift - constant added/subtracted to y portion of graph
3. Stretch, compression, reflection - when different parts of a function are multiplied by
different groups of constants
Classification of functions - ANSWER-1. Constant, y = b
2. Identity, y = x
3. Linear, y=mx+b
4. Polynomial
5. Quadratic, y = ax^2 + bx + c
6. Rational, f(x) = p(x) / q(x)
7. Square root
8. Absolute value
9. Exponential
