NYSTCE: Math multi-subject part 2 Exam Questions and Answers 100% Correct

NYSTCE: Math multi-subject part 2 Exam
Questions and Answers 100% Correct


Numbers - ANSWER-The basic building blocks of mathematics



Integers - ANSWER-whole numbers and their opposites, includes zero, does not
include fractions



prime number - ANSWER-A whole number that has exactly two factors, 1 and itself.



composite number - ANSWER-A whole number greater than 1 that has more than two
factors.



The decimal or base 10 system - ANSWER-is a number system that uses ten different
digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).



Rational Numbers - ANSWER-All positive and negative integers, fractions and decimal
numbers. Ant number that can be written as a fraction, any terminating or repeating
decimals



irrational numbers - ANSWER-Numbers that cannot be expressed as a ratio of two
integers. Their decimal expansions are nonending and nonrepeating.



real numbers - ANSWER-All rational and irrational numbers, does not include imaginary



perfect square - ANSWER-A rational number whose square root is a whole number



absolute value - ANSWER-The distance a number is from zero on a number line.
ALWAYS POSITIVE

,Making a decimal a fraction - ANSWER-Let's say .24

-put 24 over 100

-then it reduces to 6/25



part=%(whole) - ANSWER-For word problems



Percent Change Formula or Error - ANSWER-Percent Change =(final value−initial
value)/initial value×100

Or

(amount of change)/(original amount)x 100



Dividing Fractions - ANSWER-multiply by the reciprocal



scientific notation - ANSWER-A method of writing or displaying numbers in terms of a
decimal number between 1 and 10 multiplied by a power of 10. a x 10^n



dividend - ANSWER-the number that is being divided



divisor - ANSWER-the number you divide by



greatest common factor - ANSWER-The largest factor that two or more numbers have
in common.



least common multiple - ANSWER-The smallest multiple (other than zero) that two or
more numbers have in common.



unit price - ANSWER-A unit rate that gives the cost per unit.



t=pn

*t=total price

, *p=unit price

*n=number of objects



unit rate - ANSWER-A rate in which the second quantity in the comparison is one unit.

-like if you travel 30 miles in 2 hours, the unit rate would be 15miles in 1 hour



function - ANSWER-1. A relationship from one set (called the domain) to another set
(called the range) that assigns to each element of the domain exactly one element of
the range. 2. The action or actions that an item is designed to perform.



Slopes of Lines - ANSWER--Horizontal line: zero slope

-Vertical line: no slope

-Parallel line: same slope

-Perpendicular lines: negative reciprocal slopes (ex: 4/5, and -5/4)



point slope form - ANSWER-y-y1=m(x-x1)



Function Manipulation - ANSWER--Vertical shifts: adding to the outside of the function
f(x)+-k

-Horizontal shifts: adding to the inside of the function f(x+-k)

-Vertical stretch: when a function is multiplied by a number greater than 1 on the outside
of the function

-compressed vertically: when a function is multiplied by someone great than 0, less than
1 on the outside of a function

-if k is less than zero the graph is reflected about the x-axis, in addition to being either
stretched or compressed vertically if k is less than or greater than -1, respectively



More function manipulations - ANSWER--compressed horizontally: if the inside of a
function is multiplied by a number greater than 1.

-stretched horizontally: if the inside of a function is multiplied by a number less than 1
but greater than 0