Vocabulary Topic 1

Question 1

a number that is either rational or irrational. ex: 5, -3, √11, 0.6666.., 5 4/11, 0, and π.

Answer 1

real numbers

Question 2

a number that shows repeated multiplication.

Answer 2

exponent

Question 3

a rate with a denominator of 1. ex: the ___ ___ of 120 miles driven in 2 hours is 60mi/hr.

Answer 3

unit rate

Question 4

whole numbers and their opposites.

Answer 4

integers

Question 5

terms with exactly the same variable factors in a variable expression.

Answer 5

like terms

Question 6

numbers whose square roots are integers. ex: the numbers 1, 4, 9, 16, 25, 36… are the squares of integers.

Answer 6

perfect square

Question 7

1. performing any operations inside grouping symbols
2. simplify powers
3. multiply and divide in order from right to left
4. add and subtract in order from right to left.

Answer 7

order of operations

Question 8

the distance that a number is from zero on a number line. ex: -7 is 7 units from 0, so |-7| = 7.

Answer 8

absolute value

Question 9

a number that is multiplied repeatedly. ex: 4^5= 4•4•4•4•4. the ____ 4 is used as a factor 5 times.

Answer 9

base

Question 10

a process of reasoning logically from given facts to a conclusion. ex: based on the fact that the sum of any two even numbers is even, you can deduce that the product of any whole number and any even number is even.

Answer 10

deductive reasoning

Question 11

a mathematical phrase that includes one or more variables. ex: 7+x is an ______ _____.

Answer 11

algebraic expression

Question 12

an expression made up of a _____ symbol and a radicand. ex: √a.

Answer 12

radical

Question 13

anything that can be measured or counted. ex: a dozen is another way to describe a ____ of 12 eggs.

Answer 13

quantity

Question 14

to replace an expression with it’s ____ name or form. ex: 3+5=8.

Answer 14

simplify

Question 15

given a nonzero rational number a/b, the ________ ______, or reciprocal, is b/a. the product of a ________ ______ is 1.

Answer 15

multiplicative inverse (reciprocal)

Question 16

to substitute a given number for each variable and then simplify.

Answer 16

evaluate

Question 17

a real number that can be written as a ratio of two integers. _____ numbers in decimal form are terminating or repeating. ex: 2/3, 1.548,and 2.292929…

Answer 17

rational number

Question 18

a number b such that a²=b. -√b is the negative _____ ____. ex: -3 and 3 are square roots of 9.

Answer 18

square root

Question 19

the expression under the radical sign. ex: the ____ of the radical expression √x+2 is x+2.

Answer 19

radicand

Question 20

a symbol, usually a letter, that represents one or more numbers. ex: x is the ____ in the equation 9-x=3.

Answer 20

variable

Question 21

for every real number a, b, and c: a(b+c)=ab+ac, (b+c)a=ba+ca, a(b-c)=ab-ac,(b-c)a=ba-ca.

Answer 21

distributive property

Question 22

the base and the exponent of an expression of the form a^n, ex: 5^4.

Answer 22

power

Question 24

a mathematical phrase involving numbers and operation symbols, but no variables.

Answer 24

numerical expression

Question 25

the counting numbers. ex: 1, 2, 3, 4 …

Answer 25

natural numbers

Question 26

a number that cannot be written as a ration of two integers. ________ ________ in decimal form are non terminating and non repeating.

Answer 26

irrational number

Question 27

the non-negative numbers. ex: 0, 1, 2, 3, 4…

Answer 27

whole numbers

Question 28

an example showing that a statement is false. ex: all apples are red. the _____ ______ would be granny smith apples are green.

Answer 28

counter example

Question 29

a term that has no variable factor. ex: in the expression 4x+13y+17, 17 is a ______ term.

Answer 29

constant

Question 30

the opposite or ______ ______ of any number a is -a. the sum of the opposites is 0. ex: -5 and 5 are ______ ______ because -5+5=0.

Answer 30

additive inverse

Question 31

the process in of making something look like another thing

Answer 31

modeling

Question 32

the numerical factor when a term has a variable. ex: in the expression 2x+3y+16, 2 and 3 are _______.

Answer 32

coefficient