#### Study sets matching "beginning algebra lula"

#### Study sets matching "beginning algebra lula"

Set

Natural Numbers

Positive Integers

Whole Numbers

(mathematics) an abstract collection of numbers or symbols

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

counting numbers greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Set

(mathematics) an abstract collection of numbers or symbols

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Solve for x:... 5x-12=2x

Solve for x:... 3x-2=-17

(-2)^3=

Solve for y:... y/3+4=-5

5x-2x-12=2x-2x... 3x-12=0... 3x-12+12=0+12... 3x=+12... Divide both sides…

Add 2 to both sides... 3x=-15... x=-5

(-2)(-2)(-2)... =+4(-2)... =-8

We cannot divide 1/3 easily, so we simplify everything else f…

Solve for x:... 5x-12=2x

5x-2x-12=2x-2x... 3x-12=0... 3x-12+12=0+12... 3x=+12... Divide both sides…

Solve for x:... 3x-2=-17

Add 2 to both sides... 3x=-15... x=-5

Absolute Value

Constant

Equation

Exponent

A given number's distance from 0 on a number line

A symbol that does not vary in value. (ex: 3x + 5; 5 is this…

A mathematical relationship that contains an equal sign.

A symbol written to the upper right of a base number that ind…

Absolute Value

A given number's distance from 0 on a number line

Constant

A symbol that does not vary in value. (ex: 3x + 5; 5 is this…

Signed Numbers

Adding Signed Numbers

Subtracting Signed Numbers

Absolute Value

All numbers on the number line except zero are signed numbers…

When adding two numbers with the same sign (either both posit…

Flip the sign of the number being subtracted and then add

The distance a number is from zero on a number line. ALWAYS P…

Signed Numbers

All numbers on the number line except zero are signed numbers…

Adding Signed Numbers

When adding two numbers with the same sign (either both posit…

Set

Natural Numbers

Positive Integers

Whole Numbers

(mathematics) an abstract collection of numbers or symbols

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

counting numbers greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Set

(mathematics) an abstract collection of numbers or symbols

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Addition

Subtract

Multiplication

Division

An operation in which we combine two numbers to make a larger…

to pull some out, therefore having less left over

Repeated addition

An operation in which we make parts out of a number, which ar…

Addition

An operation in which we combine two numbers to make a larger…

Subtract

to pull some out, therefore having less left over

Variable

Power

Rational number

Subtraction

A letter that represents a number

The product of multiplying a number by itself

A real number that can be written as fractions

The operation of finding the difference between two numbers

Variable

A letter that represents a number

Power

The product of multiplying a number by itself

Variable

Coefficient

Expression

Equation

A symbol for a number we don't know. For example x or y.

The number beside a variable. For example: 6z means 6 times z…

Like an equation, but no equals sign. For example: 4x+6 (no e…

Two things are equal. It will have an equals sign "=" for exa…

Variable

A symbol for a number we don't know. For example x or y.

Coefficient

The number beside a variable. For example: 6z means 6 times z…

equation

expression

term

variable

a mathematical sentence that contains an equals sign

a group of symbols that make a mathematical statement (no equ…

the parts of an expression that are added or subtracted

a letter or symbol representing a quantity that can change, t…

equation

a mathematical sentence that contains an equals sign

expression

a group of symbols that make a mathematical statement (no equ…

Divisible

Factor

Exponents

Power

can be divided by a number without leaving a remainder

one of two or more integers that can be exactly divided into…

number used to show repeated multiplication

has two parts, a base and exponent. (number raised to the rig…

Divisible

can be divided by a number without leaving a remainder

Factor

one of two or more integers that can be exactly divided into…

Set

Natural numbers

positive integers

Whole numbers

A collection of objects... {1,2,3,4,5}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Whole numbers start with 0.... {0,1,2,3,4,5...}

Set

A collection of objects... {1,2,3,4,5}

Natural numbers

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Set

Natural numbers

positive integers

Whole numbers

A collection of objects... {1,2,3,4,5}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Whole numbers start with 0.... {0,1,2,3,4,5...}

Set

A collection of objects... {1,2,3,4,5}

Natural numbers

Often called positive integers. start with 1... {1,2,3,4,5,6...}

continued ratio

4 steps to getting a word problem into…

combining like terms

perimeter

3:3:5:6:1

1. Read problem. 2. Figure out what x will be. 3. Write then…

4x + 3x = 7x

the distance around the edge of a rectangle.

continued ratio

3:3:5:6:1

4 steps to getting a word problem into…

1. Read problem. 2. Figure out what x will be. 3. Write then…

GCF of list of common variables raised…

factor by grouping

factoring trinomials

perfect square trinomial

the variable raised to the smallest exponent in the list.

1) arrange terms so the first two terms have a common factor…

1) use the form x(sq) + bx + c 2) factor out the GCF and then…

a trinomial that is the square of some binomial:... x(sq)+4x+4=…

GCF of list of common variables raised…

the variable raised to the smallest exponent in the list.

factor by grouping

1) arrange terms so the first two terms have a common factor…

variable

coefficiant

constant

term

A letter used to represent one or more numbers

The numerical factor when a term has a variable.

number without variable

a number, a variable, or the product of a number and one or m…

variable

A letter used to represent one or more numbers

coefficiant

The numerical factor when a term has a variable.

Integers

Integer Multiplication rules

Integer Division rules

Integer Fraction rules

positive and negative numbers with no fractions or decimals,…

neg * pos= neg... pos * neg= neg... neg * neg= pos

neg/pos= neg ... pos/neg= neg ... neg/neg= pos

remember KFC:... Keep the 1st... Flip the 2nd... then change the probl…

Integers

positive and negative numbers with no fractions or decimals,…

Integer Multiplication rules

neg * pos= neg... pos * neg= neg... neg * neg= pos

absolute value

evaluate

dependent variable

function

The distance a number lies from zero on a number line.

Calculate the value of an expression.

The value that is influenced by, or depends upon, the value o…

A special type of relation in which each member of the domain…

absolute value

The distance a number lies from zero on a number line.

evaluate

Calculate the value of an expression.

slope

slope-intercept form

the y-intercept

range of a function

the steepness of a hill. slope equals rise/run.

y=mx+b. m is the slope, and b is the y-intercept.

the point on a line where it hits the y axis. (above) would b…

the set of images in the codomain that are the image of at le…

slope

the steepness of a hill. slope equals rise/run.

slope-intercept form

y=mx+b. m is the slope, and b is the y-intercept.

set

natural numbers

whole numbers

parenthesis

collection, group of numbers. {enclosed in braces} same eleme…

1,2,3,4,5,6... (all natural numbers are whole numbers)

0,1,2,3,4,5,6... natural numbers with a (w)hole added! (non-n…

( )

set

collection, group of numbers. {enclosed in braces} same eleme…

natural numbers

1,2,3,4,5,6... (all natural numbers are whole numbers)

(xy)times a little a equals

like terms

anything times the 0 power is equal to…

commutative law of multiplication

x (times a little a) times y (times a little a.)

7x (with little 2) + 9x (with a little 2). have the same expo…

1

ab = ba

(xy)times a little a equals

x (times a little a) times y (times a little a.)

like terms

7x (with little 2) + 9x (with a little 2). have the same expo…

radical sign

49 with rad sign

right triangle

theorem

check mark with a long tail. gives you the number that when i…

= 7 (technically it equals either 7 or -7, but if you use the…

triangle with one angle that equals 90 degrees.

statement that is proved

radical sign

check mark with a long tail. gives you the number that when i…

49 with rad sign

= 7 (technically it equals either 7 or -7, but if you use the…

denominator

rational expression

factor

terms

the number in the bottom of a fraction.

a polynomial divided by a polynomial.

things that multiply together to make the whole expression.

things that add together to make the whole expression.

denominator

the number in the bottom of a fraction.

rational expression

a polynomial divided by a polynomial.

transposing

the union of two sets

ordered pair

a point in quadrant I or (QI)

when -4 looks like it jumps over and becomes +4. ... x-4 = 30 be…

the set containing all the elements in either or both sets.

(1,2) one point on the horizontal axis (1) and one point on t…

(3,4)

transposing

when -4 looks like it jumps over and becomes +4. ... x-4 = 30 be…

the union of two sets

the set containing all the elements in either or both sets.

solve a system of equations by graphing

solve a system of equations by elimina…

solve a system of equations by substit…

wavy equals sign

In a system of equations, graph each equation, and then see w…

make it so that one variable cancels out and then solve for t…

substitute the first equation into the second. one of them sh…

approximately equal to....

solve a system of equations by graphing

In a system of equations, graph each equation, and then see w…

solve a system of equations by elimina…

make it so that one variable cancels out and then solve for t…

graphing an inequality

lines of graphed inequalities

there are two ways to make the value o…

absolute value function

graph the line and test a point on either side to find out wh…

use a solid line when the inequality has <_ or >_. use a dott…

make the numerator very large or make the denominator very cl…

square the number and take it's principle square root.

graphing an inequality

graph the line and test a point on either side to find out wh…

lines of graphed inequalities

use a solid line when the inequality has <_ or >_. use a dott…

Variable

Constant

Expression

Equation

A symbol that can vary in value

A symbol that does not vary in value

A constant, variable, or any combination of constants, variab…

A mathematical relationship that contains an equal sign

Variable

A symbol that can vary in value

Constant

A symbol that does not vary in value

GCF of list of common variables raised…

factor by grouping

factoring trinomials

perfect square trinomial

the variable raised to the smallest exponent in the list.

1) arrange terms so the first two terms have a common factor…

1) use the form x(sq) + bx + c 2) factor out the GCF and then…

a trinomial that is the square of some binomial:... x(sq)+4x+4=…

GCF of list of common variables raised…

the variable raised to the smallest exponent in the list.

factor by grouping

1) arrange terms so the first two terms have a common factor…

absolute value

evaluate

dependent variable

function

The distance a number lies from zero on a number line.

Calculate the value of an expression.

The value that is influenced by, or depends upon, the value o…

A special type of relation in which each member of the domain…

absolute value

The distance a number lies from zero on a number line.

evaluate

Calculate the value of an expression.

What are letters used to represent qua…

What is formed by combining numbers an…

A number that does not change

2 algebraic expressions separated by =…

variable

Algebraic Expression

Constant

Equation

What are letters used to represent qua…

variable

What is formed by combining numbers an…

Algebraic Expression

rational number... pg 21

terminating and repeating decimals

irrational numbers

Real Numbers

The quotient of two integers ... can be a fraction or decimal n…

self explanatory but the repeating will have a bar over it to…

cannot be written as terminating or repeating. ... means that…

rational and irrational numbers

rational number... pg 21

The quotient of two integers ... can be a fraction or decimal n…

terminating and repeating decimals

self explanatory but the repeating will have a bar over it to…

arrows on number line

adding integers... pg. 9

subtracting integers... pg. 10

Multiplying integers... Pg. 11

positive numbers point to the right and negative numbers poin…

numbers being added are addends and the answer is the sum... In…

subtraction = finding the difference between two numbers by a…

numbers being multiplied are factors and the result is called…

arrows on number line

positive numbers point to the right and negative numbers poin…

adding integers... pg. 9

numbers being added are addends and the answer is the sum... In…

Every rational number is also an integ…

Every negative number is also a ration…

Every natural number is positive.

Every rational number is also a real n…

False

True

True

True

Every rational number is also an integ…

False

Every negative number is also a ration…

True

Inequality Symbols

Equation

Absolute Value

Variable

The symbols not equal to, <, and > are called ______________.

A mathematical system that two expressions are equal is calle…

The ___________________ of a number is the distance between t…

A symbol used to represent a number is called a _____________…

Inequality Symbols

The symbols not equal to, <, and > are called ______________.

Equation

A mathematical system that two expressions are equal is calle…

Inequality Symbols

Equation

Absolute Value

Variable

The symbols not equal to, <, and > are called ______________.

A mathematical system that two expressions are equal is calle…

The ___________________ of a number is the distance between t…

A symbol used to represent a number is called a _____________…

Inequality Symbols

The symbols not equal to, <, and > are called ______________.

Equation

A mathematical system that two expressions are equal is calle…

exponent

factored form

exponential form

signs and exponents

refers to how many time ths factor (called the base) occurs i…

written out the number of time it is multiplied.... 2*2*2

**2****2***2*2*2written using an exponent

and even exponent of a negative base will be positive product…

exponent

refers to how many time ths factor (called the base) occurs i…

factored form

written out the number of time it is multiplied.... 2*2*2

**2****2***2*2*2Prime Number

Composite Number

33... / \... 3 11

27... / \... 3 9... --/\... - 3 3

A natural number, other than 1, whose only factors are 1 and…

A natural number, other than 1, that is not a prime number.

Write the number as a product of primes.... 33

Write the number as a product of primes.... 27

Prime Number

A natural number, other than 1, whose only factors are 1 and…

Composite Number

A natural number, other than 1, that is not a prime number.

3^5... 3 * 3 * 3

**3****3*** 3 * 3 * 3 = 2433^3... 3

**3**3 = 271^5... 1 * 1 * 1

**1****1*** 1 * 1 * 1 = 15^1... Answer is 5

Evaluate:... 3^5

Evaluate:... 3^3

Evaluate:... 1^5

Evaluate:... 5^1

3^5... 3 * 3 * 3

**3****3*** 3 * 3 * 3 = 243Evaluate:... 3^5

3^3... 3

**3**3 = 27Evaluate:... 3^3

Equation

Expression

Equivalent Equations

Solution

Contains an equal sign

Does not contain an equal sign

Equations that have the same solution

A value of the variable that makes the equation a true statem…

Equation

Contains an equal sign

Expression

Does not contain an equal sign