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Praxis 5001 > Praxis 5003 (Mathematics) > Flashcards

Praxis 5003 (Mathematics) Flashcards

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1
Q

Cardinal numbers

A

whole numbers (1, 2, 3, 4, etc.)

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2
Q

Ordinal numbers

A

Placement values (1st, 2nd, 3rd, 4th, etc)

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3
Q

Expanded form

A

written so that the place value of each number is represented as part of a sum (532 = 500 + 30 + 2)

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4
Q

Expanded Notation

A

each digit is written as the product of its place value
(532 = (5x100)+(3x10)+(2x1))

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5
Q

Order of Operations

A

Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

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6
Q

What happens when reciprocals are multiplied

A

they equal 1 (3/1 x 1/3 = 1)

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7
Q

Percent Change Equation

A

(new number - original number) / Original number

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8
Q

Prime Factorization

A

finding all the prime numbers (tree style)

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9
Q

Greatest Common Factor

A

the largest number that divides into all numbers in a given set

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10
Q

Least Common Multiple

A

find each prime factor in both numbers. Then multiply each prime factor the greatest number of times it occurs in one number between the numbers

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11
Q

Estimating using compatible numbers

A

estimating by rounding numbers to numbers that are easy to add, subtract, multiply, or divide (31.8 / 5/2 –> 30 / 5)

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12
Q

Estimating using clustering

A

estimating sums or products when all the numbers are close to a single value (42+38+40+41 –> 40+40+40+40)

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13
Q

Front-end Estimation

A

estimating by rounding to the greatest place value or the number is front (412+58+1780 –> 400+60+2000)

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14
Q

Algebraic expressions - terms

A

an expression is segmented by + or - signs (2+4 = 2 terms)
(5a-2+6b = 3 terms)
(a^2 x 5^b x c^3 = 1 term)

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15
Q

Name by term number

A

1 - Monomial
2 - Binomial
3- Trinomial

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16
Q

Degree of polynomial

A

the largest sum of exponents in ONE term
(3 x a^2 x b^3 = 5)
(X^2 + 7 = 2)

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17
Q

Rule for dividing a negative number when solving inequalities

A

You have to flip the sign in the inequality when solving due to

18
Q

How to solve compound inequalities

A

Solve each inequality separately

19
Q

Slope Intercept Equation

A

y=mx+b
(m = slope)
(b = y-intercept)

20
Q

How to find slope when using points on a graph

A

Use any 2 points and stack them vertically then subtract then use the difference

(-1, 3) change in y 2
- (0, 1) change in x -1
———-
(-1, 2) 2/-1 = -2

21
Q

Complementary Angles

A

angles that add up to 90°

21
Q

How to find y-intercept

A

find the slope then choose a point (x, y) and then plug these into y=mx+b and solve for b

22
Q

Supplementary Angles

A

angles that add up to 180°

23
Q

scalene triangle

A

triangle with no congruent sides

24
Q

isosceles triangle

A

triangle with 2 congruent sides and angles opposite of congruent sides are also congruent

25
Q

equilateral triange

A

all sides are congruent and all angles are 60°

26
Q

Equation to find sum of angles in shapes

A

(n-2)x180
n = number of sides

27
Q

Pythagorean Theorm

A

can only be used with right triangles
a^2 + b^2 = c^2

28
Q

Transformations - translation

A

shapes slide around - changes position by moving up/down/left/right)

29
Q

Transformation - rotation

A

spins or rotates a figure about a fixed point or line

30
Q

Transformation - reflection

A

aka flip or mirror image - “flip” an image over a line or axis

31
Q

Circle area

A

A = π r^2

32
Q

Volume of a sphere

A

v = 4/3 π r^3

33
Q

Volume of a box

A

v = l w h

34
Q

circumference

A

2 π r

35
Q

Frequency table

A

counts or tallies how many times a value falls within a defined range of values

36
Q

Bar graph

A

track and compare change over time

37
Q

Histogram

A

display of information gathered in a frequency table

38
Q

Stem and Leaf plot

A

organizes numerical data in a way that allows the reader to quickly calculate the mode and range of a data set

39
Q

Line graph

A

shows change over time

40
Q

scatter plot

A

contains 2 data sets. Tells if there is a correlation

41
Q

Probability equation

A

number of ways an event can happen OVER
total number of events that can happen

Praxis 5001 (4 decks)

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