Algebra I

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what does the graph of an inverse variation look like?

(a) curve

what do you call a pairing of two sets of numbers, where for every number in the first set there is exactly one in the second set?

(a) function

how can you represent a function? (3 ways)

(a) table (a) formula (a) graph

What do you call the number which tells you how many times to multiply a number by itself, for example 10^4 = 10 · 10 · 10 · 10

(an) exponent

in slope-intercept form (y=ax+b), which is the slope?

a

what do you call an expression of the form axⁿ where a is any number and n is a positive integer?

a monomial

what does the graph of an exponential function look like?

a smooth curve

what the form of scientific notation?

a x 10ⁿ

what is the distributive rule over addition, using a, b, and c?

a(b+c)=ab + ac

in Newton's second law, what directly varies with net force ________?

acceleration

the answer you get when you _____ two or more number is the sum

add

multiplication can be understood as repeated ______________?

addition

a polynomial is an expression showing the ____ or ______ of two or more monomials

addition subtraction

what does the symbol ≈ mean?

approximately equal

in Newton's second law, what inversely varies with net force ________?

mass

the answer you get when you ________ two or more numbers together is the product

multiply

in the form for scientific notation a x 10ⁿ, what can you say about n?

must be an integer

if a line goes down from left to right, what can you say about the slope?

negative

if a line goes up from left to right, what can you say about the slope?

positive

the product or quotient of two negative numbers is

positive

in a monomial axⁿ, the n must be a _____ ______

positive integer

what do you call an integer larger than 1 that CANNOT be written as the product of smaller positive integers?

prime

what are the four regions of a coordinate graph called?

quadrants

how do you find the slope of a line?

rise over run

what do you call the result of multiplying two or more numbers together?

(the) product

what do you call the result when you divide one number by another?

(the) quotient

In a function, is it ok to have repeats in the first set or the second set?

(the) second (set)

what is the result of adding two or more numbers called?

(the) sum

write -8 as a monomial

-8x⁰

every number except 0 is a monomial with degree ____

0

what is the slope of a horizontal line?

0

What do you get when you divide 0 by any number?

0 (This is legal. You can have 1 fifth, 2 fifths, etc., including 0 fifths.)

write 0 as a monomial

0x¹

what number can by multiplied by any number without changing that number?

1

what number can you divide any number by without changing that number?

1

x⁰= ?

1

x⁻ⁿ = ?

1/xⁿ

what is the opposite of -5?

5

what is the standard form of a linear equation?

ax + by = c

in slope-intercept form (y=ax+b), which is the intercept? Which intercept?

b is the y-intercept

The definition of quotient: If a/b=c, it is the number that can be multiplied ____________.

by b to get a.

what is a rational number?

can be written as the quotient of two integers

how do you choose between two numbers that are equal approximations of another number (i.e. 2 or 3 could both be an approximation of 2.5)

choose the one farther from 0

in a monomial axⁿ, what do you call the a?

coefficient

what do you call an integer larger than 1 that CAN be written as the product of smaller positive integers?

composite

what is the equation relating distance, rate, and time

d=rt

in a monomial axⁿ, what do you call the n?

degree

A ______________ is a special case of a linear function.

direct variation

the answer you get when you _____ two numbers is the quotient

divide

what division problem is simply NOT DONE, doesn't make sense, is "illegal", not defined?

dividing by 0

in the table for an inverse variation, as the x numbers go up, the y numbers go ______

down

in the table for a linear function y=ax+b, where x is 0, then 1, then 2, etc. how does a appear?

it is the difference between the y's

in the table for a linear function y=ax+b, where x is 0, then 1, then 2, etc. how does b appear?

it is the y when x is 0 (the y-intercept)

what is the distance between a number an 0 on the number line called?

its absolute value

in the form for scientific notation a x 10ⁿ, what can you say about a?

must be at least 1 and less than 10

the product or quotient of a positive and a negative number is...

negative

what is in the set of integers that is NOT in the set of counting numbers?

negative integers and 0

the sum of a number and its ___________ is 0

opposite

how do you write a solution to an equation with two variables?

ordered pairs

what do you call an expression showing the addition or subtraction of two or more monomials?

polynomial

what kind of thing grows exponentially?

populations, interest....

what is this form of a linear equation called? y = ax + b

slope-intercept form

what is this form of a linear equation called? ax + by = c

standard form

the answer you get when you _____ two numbers is the difference

subtract

the degree of a polynomial is the degree of its highest-degree ______

term

what do you call the monomials of a polynomial?

terms

when two simultaneous equations are equivalent, what does that mean and how does it look on a graph?

they have infinite solutions and are the same line

when two simultaneous equations are inconsistent, what does that mean and how does it look on a graph?

they have no solutions and are parallel on a graph

what is the slope of a vertical line?

undefined

in the table for an direct variation, as the x numbers go up, the y numbers go ______

up (too)

x to the a over x to the b = ?

x to the a - b

x to the a times x to the b = ?

x to the a plus b

x to the a to the b = ?

x to the ab

(x + y)² =

x² + 2xy + y²

(x - y)² =

x² - 2xy + y²

(x + y)(x - y)

x² - y²

(x/y)ⁿ = ?

xⁿ/yⁿ

(xy)ⁿ=?

xⁿyⁿ

what is the form of an exponential function?

y = abⁿ

what is the slope-intercept form of an equation?

y = ax + b

what is the form of the formula for an inverse variation?

y=a/x

what is the form of the formula for a direct variation?

y=ax

what is the form of the formula for a linear function?

y=ax+b

are all integers whole numbers?

yes

is 0 a monomial?

yes

what do you get when you divide a number by 0?

(it is) illegal

what is the result you get when you subtract one number from another called?

(the) difference

what is the point at which the x and y axes intersect called?

(the) origin


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