Math Section 3

Question 1

What is a set?

Answer 1

a collection of numbers, ex: {1, 2, 3}

Question 2

What is an element?

Answer 2

a member of a set, represented by ∈

Question 3

What does ∈ mean?

Answer 3

“belongs to”, is used to show that an element belongs to a set

Question 4

What are equal sets?

Answer 4

sets with the same elements

Question 5

What are equivalent sets?

Answer 5

sets with the same number of elements

Question 6

What is a union of sets?

Answer 6

a set with all the members found in both sets you are unioning

Question 7

What is ∪?

Answer 7

the symbol for union

Question 8

What is an intersection of sets?

Answer 8

a set with elements both sets have in common, represented by ∩

Question 9

What is ∩?

Answer 9

the symbol for intersection

Question 10

What are integers?

Answer 10

the counting numbers, their negative form, and zero

Question 11

What are rational numbers?

Answer 11

numbers written as a ratio of 2 integers

Question 12

What are irrational numbers?

Answer 12

numbers that can’t be written as a ratio of 2 integers

Question 13

What is a prime number?

Answer 13

a number greater than one with only 2 whole factors

Question 14

What is prime factorization?

Answer 14

the integers that are the product of all prime factors that can be divided into the number

Question 15

What is GCF? (greatest common factor)

Answer 15

the greatest whole numbers will divide evenly into 2 numbers

Question 16

What is a base in an exponent?

Answer 16

the whole number that is affected by the exponent

Question 17

Any number above zero raised to the power of zero will always equal what?

Answer 17

1

Question 18

How do you make the exponent in x^-1 positive?

Answer 18

use the reciprocal of the original power, ex: x^-1 = 1/x^1

Question 19

How do you simplify this? (x^n)^p

Answer 19

multiply n and p, x^np

Question 20

How do you distribute this? (c/d)^n

Answer 20

distribute it to the numerator and denominator, c^n/d^n

Question 21

How do you simplify this? x^n * x^n

Answer 21

add the exponents, x^n+n

Question 22

What is power in an exponent?

Answer 22

the base and exponent together, ex: 5^3

Question 23

What is base in an exponent?

Answer 23

the number being affected by the exponent, ex: 5 in 5^3

Question 24

What is exponent in an exponent?

Answer 24

the number that is raising the power of the base, ex: 3 in 5^3

Question 25

How do you simplify this? x^m/x^n

Answer 25

subtract the exponents, ex: x^m-n

Question 26

What is the name of the symbol used to square root a number?

Answer 26

the radical sign

Question 27

What is a square root?

Answer 27

the number that makes the original number when squared

Question 28

How do you simplify this? √xy

Answer 28

√x * √y

Question 29

How do you simplify this? √a * √a

Answer 29

a

Question 30

How do you simplify this? √x/y

Answer 30

√x/√y

Question 31

How do you simplify this? √a^n

Answer 31

(√a)^n

Question 32

What is a cube root

Answer 32

the number that makes the original number when cubed

Question 33

What is a variable?

Answer 33

a symbol used to represent an unknown number or value

Question 34

What does sum, greater than, increased by, or more than usually indicate?

Answer 34

to use addition

Question 35

What does difference, smaller than, decreased by, or less than usually indicate?

Answer 35

to use subtraction

Question 36

What does product, times, or multiplied by usually indicate?

Answer 36

to use multiplication

Question 37

What does quotient, halve, divided by, or ratio usually indicate?

Answer 37

to use division

Question 38

What is a ratio?

Answer 38

a method of comparing two or more numbers or variables, and can be written as a:b or a/b

Question 39

What are the 2 ways ratios can be written?

Answer 39

a:b or a/b

Question 40

How do you read ratios?

Answer 40

"a is to b"

Question 41

What is a proportion?

Answer 41

a relationship between 2 variables whose ratio is a constant

Question 42

What is a proportionality constant?

Answer 42

the number you get when diving 2 values in a proportion

Question 43

What is a monomial?

Answer 43

an algebraic expression that has only one term

Question 44

How do you add monomials?

Answer 44

combine the coefficients and combine like terms, leave variables the same if they are not alike

Question 45

How do you multiply monomials?

Answer 45

add the exponents of the same bases and multiply the coefficients

Question 46

How do you divide monomials?

Answer 46

subtract the exponents with the same bases and divide the coefficients

Question 47

What is a binomial?

Answer 47

an algebraic expression with 2 monomial terms

Question 48

What type of algebraic expression is x + y?

Answer 48

binomial

Question 49

What is a trinomial?

Answer 49

an algebraic expression with 3 terms

Question 50

What type of algebraic expression is x + y + z?

Answer 50

trinomial

Question 51

What type of algebraic expression is y^2 + 9y + 8?

Answer 51

trinomial

Question 52

What is a linear equation?

Answer 52

an equation whose solution(s) create a straight line

Question 53

What is the FOIL method?

Answer 53

a way two multiply 2 binomials

Question 54

What is slope?

Answer 54

the steepness of a line

Question 55

What is an equation?

Answer 55

a mathematical sentence, or a relationship between numbers and variables

Question 56

What is slope formula?

Answer 56

(y2-y1)/(x2-x1)

Question 57

What mnemonic device is used to remember the order of operations?

Answer 57

PEMDAS

Question 58

What does PEMDAS stand for?

Answer 58

P = Parenthesis E = Exponents M/D = * and /, left to right A/S = + and -, left to right

Question 59

What does FOIL stand for?

Answer 59

F = first terms O = outer terms I = inner terms L = last terms

Question 60

What is factoring?

Answer 60

a method to find the two or more polynomials whose product equals the original value

Question 61

What are the steps to factoring?

Answer 61

factor out the GCF, look for a factor pattern like binomial squares, differences of 2 squares, etc, and check your answer by multiplying them

Question 62

What is the difference of 2 squares strategy?

Answer 62

it works when you factor out common factors and have 2 perfect squares subtracted from each other, ex: a^2 - b^2 would be (a - b)(a + b)

Question 63

What is the binomial squares strategy?

Answer 63

when you have 2 positive perfect squares for the first and last terms and the middle term is 2x the square root of the first and last term, middle term can be positive or negative

Question 64

What is a quadratic equation?

Answer 64

an equation with a variable that is squared and is usually in this form: ax^2 + bx + c = 0

Question 65

What is an inequality?

Answer 65

a statement where the relationships between the numbers are not equal

Question 66

What does < mean?

Answer 66

less than

Question 67

What does > mean?

Answer 67

greater than

Question 68

What does ≤ mean?

Answer 68

less than or equal to

Question 69

What does ≥ mean?

Answer 69

greater than or equal to

Question 70

What does ≠ mean?

Answer 70

not equal to