# Vocabulary Topic 1 Flashcards Preview

## Algebra 1 > Vocabulary Topic 1 > Flashcards

Flashcards in Vocabulary Topic 1 Deck (32)
1
Q

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

A

real numbers

2
Q

a number that shows repeated multiplication.

A

exponent

3
Q

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

A

unit rate

4
Q

whole numbers and their opposites.

A

integers

5
Q

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

A

like terms

6
Q

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

A

perfect square

7
Q
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.
A

order of operations

8
Q

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

A

absolute value

9
Q

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

A

base

10
Q

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.

A

deductive reasoning

11
Q

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

A

algebraic expression

12
Q

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

A

13
Q

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

A

quantity

14
Q

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

A

simplify

15
Q

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

A

multiplicative inverse (reciprocal)

16
Q

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

A

evaluate

17
Q

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…

A

rational number

18
Q

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

A

square root

19
Q

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

A

20
Q

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

A

variable

21
Q

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.

A

distributive property

22
Q

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

A

power

23
Q
A
24
Q

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

A

numerical expression

25
Q

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

A

natural numbers

26
Q

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

A

irrational number

27
Q

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

A

whole numbers

28
Q

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

A

counter example

29
Q

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

A

constant

30
Q

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.

A

31
Q

the process in of making something look like another thing

A

modeling

32
Q

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

A

coefficient