Teas V Exam - Math

Front 1

Real Numbers

Back 1

Any number on the number line (-3 -2 -1 0 1 2 3) Can be a rational or irrational number.

Front 2

Rational Numbers

Back 2

Real number that can be written as a fraction, terminating decimal (eg 0.25), or repeating decimal (eg 0.212121...)

Front 3

Irrational Numbers

Back 3

Numbers that cannot be written as a fraction. (Square roots, cube roots, and pi, though not ALL square roots are irrational)

Front 4

Percent Increase
(eg: An amount goes up from 20 to 45... What is the % increase?)

Back 4

(New Value - Original Value / Original Value ) Multiplied by 100

( 45 - 20 = 25 / 20 = 1.25 x 100 = 12.5% Increase )

Front 5

Percent Decrease
(eg: An amount of 50 decreases by 5.. What is the %I Decrease?)

Back 5

(Original Value - New Value / Original Value) Multiplied by 100

( 50 - 45 = 5 / 50 = 0.1 x 100 = 10% decrease)

Front 6

Convert Fractions to Decimals
(Eg: 3/125)

Back 6

Divide 3.00 by 125

0.024

Front 7

Fractions with power of 10 denominators to decimal

Back 7

1/10 = 0.1
1/100 = 0.01
1/1000 = 0.001
1/10000 = 0.0001
1/100000 = 0.00001

Front 8

Convert 1/5 to decimal

Back 8

1/5 --> 2/10 = 0.2

Front 9

Convert Decimals to Fractions

Back 9

eg: 0.025 = 25 / 1000

0.25 = 25 / 100
0.0025 = 25 / 10000

Rewrite in simplest form:

25 / 25 = 1
1000 / 25 = 40

= 1/40

Front 10

Convert Fractions to Percents

Back 10

eg 5/8 to percents
1) Convert to decimal = 0.625
2) Multiply by 100 and add % sign
= 62.5%

Front 11

Convert % to Fractions

Back 11

1) Remove % symbol
2) Write # over 100
3) Simplify
eg: 35% = 35/100
35 divided by 5 = 7
100 divided by 5 = 20
= 7/20

Front 12

Convert % to Decimals

Back 12

eg: 78% = 0.78

Front 13

Roman Numerals

Back 13

M = 1000
D= 500
C = 100
L= 50
X = 10
V = 5
I = 1

Front 14

Convert Roman Numeral to Arabic (1)

Back 14

Begin with largest value then write from left to right.

When I, X, or C is used to to the left of larger value, Subtract it from that value.
eg: IV = 4

Front 15

Convert Roman Numerals to Arabic (2)

Back 15

eg: DCCCXXV =
500 + 300 + 20 +5 = 825

MCCXXXIV =
1000

Front 16

Metric System Prefixes

Back 16

10^3 = 1000 --- kilo (k)
10^2 = 100 --- hecto (h)
10^1 = 10 --- deka (da)
10^0 = 1
10^-1 = 1/10 --- deci (d)
10^-2 = 1/100 --- centi (c)
10^3 = 1/1000 --- milli (m)

Front 17

Dependent and Independent Variables

Back 17

Independent = data put into the set of data --- input

Dependent = output based on input

Front 18

Algebraic Applications (1)

Back 18

Addition, Subtraction, Multiplication, and division of polynomial terms.

Front 19

Constant

Back 19

A quantity that does not change

Front 20

Coefficient

Back 20

The numerical part of a term; the number that is being multiplied to the variable.

Front 21

Expression

Back 21

One or more terms consisting of any combination of constants and/or variables.

Front 22

Algebraic Applications (1)

Back 22

Addition, Subtraction, Multiplication, and division of polynomial terms.

Front 23

Constant

Back 23

A quantity that does not change

Front 24

Coefficient

Back 24

The numerical part of a term; the number that is being multiplied to the variable.

Front 25

Expression

Back 25

One or more terms consisting of any combination of constants and/or variables.

Front 26

Variable

Back 26

An unknown quantity in an expression, usually in the form of x, y, or z.

Front 27

Like Terms

Back 27

Terms that have the same variable and with the same exponent.

Front 28

Degree

Back 28

The exponent or sum of exponents of the variables of a term.

Front 29

Divisor

Back 29

The denominator in a division problem (eg 4/2 . 2 is the divisor)

Front 30

Dividend

Back 30

The numerator in a division problem
(eg 14/2 , 14 is the dividend)

Front 31

Quotient

Back 31

The answer to the division problem; for example in 14/2 , 7 is the quotient.

Front 32

Term

Back 32

A term is a constant, variable, or product of a constant and a variable.

(Terms in an expression are separated by a + or - sign)

Front 33

Polynomial

Back 33

Term or combination of terms.
(Monomial or Binomial)

Front 34

Monomial

Back 34

Polynomial with 1 term

Front 35

Binomial

Back 35

Polynomial with 2 terms

Front 36

(3x-1) (2x+5)

Back 36

(3x)(2x) + (3x)(5) - (1)(2x) - 1 (5)

6x^2 +13x - 5

Front 37

Equations with 1 unknown

Back 37

Addition principle and Multiplication principle

Front 38

Addition Principle

Back 38

Rule that makes it possible to move terms from one side of an equation to the other by adding opposites to each expression.

Front 39

Multiplication Principle

Back 39

Rule that makes it possible to isolate the variable in an equation by multiplying both expressions by the reciprocal of the variables coefficient.

Front 40

Equations with 1 unknown (pt2)

eg: 2(3x -1) = 4x - 14

Back 40

1) Distributive property to remove parenthesis
2) If there are fractions, remove by multiplying each term by least common denominator
3) Use addition principle to move like terms together on both sides of equation
4) Use multiplication principle to isolate the variable by multiplying both sides of the equation by the reciprocal of the coefficient of the variable
5) Check solution. Substitute the answer into the original equation to make sure both result in the same value.

Front 41

eg: 2(3x -1) = 4x - 14

Back 41

2(3x -1) = 4x - 14
6x - 2 = 4x - 14

6x-2 +2 = 4x - 14 +2
6x = 4x - 12

6x - 4x = 4x - 4x - 12
2x = -12

divide both sides by 2
x = - 6

Front 42

Absolute Value of n = |n|

Back 42

The distance between the number n and zero on the number line.

|n| = n when n is a positive number
|n| = -(n) when n is a negative number

|x-n| = x-n when x-n is a positive number

|x-n| = -(x-n) when x-n is a negative number

Front 43

Absolute Value Equations

Back 43

1) |x-n| = a --- x-n = a or x-n= -a
2) |x-n| < a --- -a < x-n < a
3) |x-n| <_ a --- -a <_ x-n <_ a
4) |x-n| > a ---- x-n > a or x-n < -a
5) |x-n| >_ a --- x-n _> a or x-n _> -a