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algebra 1

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Section 1

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consecutive integers

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Algebra Math

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6 years ago

Date created

Mar 14, 2020

Cards (79)

Section 1

(50 cards)

consecutive integers

Front

n+n+1+n+2

Back

rational numbers

Front

1/2, -3/4, 2.8, -0.33

Back

quadratic function

Front

-parabula -x variable has the power of 2

Back

multiplicative inverse property

Front

-use the numbers reciprocal -example: 8x1/8=1

Back

variable

Front

a symbol, usually a letter, that represents one or more number(s)

Back

function

Front

a relation where every x-value is paired with a unique y-value

Back

multiplicative identity property

Front

-the number is 1 -1 times any number = that number -1xA=A

Back

like terms

Front

have the same variable factors

Back

associative property of addition

Front

when you're doing addition, it doesn't matter what numbers you add first -example: (a+b)+c=a+(b+c)

Back

unit

Front

per single

Back

≥

Front

greater than or equal to

Back

"or" inequality

Front

the number is not between

Back

compound inequality

Front

two (or more) inequalities joined by the word "and" or "or"

Back

multiplicative inverse

Front

Nx1/N=1 -a number multiplied by its reciprocal is 1

Back

travel problems

Front

d=rt

Back

commutative property of addition

Front

when you're doing addition, it doesn't matter what order the numbers are in -example: a+b=b+a

Back

families of functions

Front

linear, absolute value, quadratic

Back

associative property of multiplication

Front

when you're doing multiplication, it doesn't matter what numbers you multiply first -example: (ab)c=a(bc)

Back

additive inverse property

Front

-use the opposite -example: a+(-a)=0

Back

multiplicative identity

Front

1xN=1

Back

"and" inequality

Front

the numbers are between

Back

constant term

Front

has no variable

Back

multiplicative property of 0

Front

0xN=0

Back

>

Front

greater than

Back

combining like terms

Front

add coefficients

Back

verify a proportion

Front

the cross products are equal to each other

Back

additive identity property

Front

-the number is 0 -you can add 0 to any number and it stays the same -example: a+0=a

Back

term

Front

a number, a variable, or the product of a number and a variable(s)

Back

coefficient

Front

the numerical factor of a term

Back

absolute value function

Front

-V-shape -x variable is inside absolute value

Back

negative inequalities

Front

reverse the sign if dividing or multiplying by a negative number

Back

≤

Front

less than or equal to

Back

domain

Front

the set of all x-values

Back

whole numbers

Front

0, 1, 2, 3...

Back

identity

Front

a statement that is always true

Back

integers

Front

...-3, -2, -1, 0, 1, 2, 3...

Back

cross multiply

Front

multiplying two fractions diagonally

Back

no solution

Front

a statement that is never true

Back

commutative property of multiplication

Front

when you're doing multiplication, it doesn't matter what order the numbers are in -example: ab=ba

Back

<

Front

less than

Back

linear function

Front

-line shape -x variable to the 1st power

Back

range

Front

the set of all y-values

Back

irrational numbers

Front

π, e, √

Back

relation

Front

any set of ordered pairs

Back

proportion

Front

two ratios set equal to each other

Back

natural numbers

Front

1, 2, 3...

Back

solution to an equation

Front

the value of the variable that makes the equation true

Back

coin problems

Front

use the value of the coin times the amount of the coin

Back

absolute value

Front

a numbers distance from zero

Back

distributive property

Front

a(b+c)=ab+ac

Back

Section 2

(29 cards)

vertical translation

Front

y=|x|+3

Back

standard form

Front

Ax+By=C -A, B, and C are all real numbers

Back

horizontal translation

Front

y=|x-2|

Back

solution of a system

Front

set of points that satisfies both equations

Back

b

Front

y-intercept

Back

point slope form

Front

y - y1 = m(x - x1)

Back

linear equation

Front

an equation that models a linear function

Back

infinite solutions to a system

Front

same line

Back

translation

Front

a shift of a graph horizontally, vertically, or both

Back

symmetric property

Front

if a=b then b=a

Back

fulcrum

Front

a word that signifies an inverse variation problem

Back

percent of change

Front

amount of change ----------------------------- original amount

Back

parallel lines

Front

-never intersect -have the same slope but different y-intercepts

Back

inverse variation

Front

an equation in the form xy=k where k does not equal 0

Back

slope intercept form

Front

y=mx+b

Back

vertical line test

Front

if any vertical line passes through more than one point, it is not a function

Back

dependent

Front

-output -vertical axis (y-axis)

Back

independent

Front

-input -horizontal axis (x-axis)

Back

reflection of a graphh

Front

y=-|x|

Back

m

Front

slope

Back

elimination method

Front

add or subtract equations to get rid of a variable

Back

parent function

Front

the simplest equation of a function

Back

single solution to a system

Front

lines meet at one point

Back

system of linear equations

Front

two or more linear equations together

Back

substitution method

Front

replace one variable with an equivalent expression containing the other variable

Back

perpendicular lines

Front

-meet to form right angles -slopes are the opposite reciprocal of each other

Back

ways to solve systems

Front

-graphing -substitution -elimination

Back

direct variation

Front

a function with the form y=kx where k does not equal 0

Back

no solution to a system

Front

parallel lines

Back