Praxis 5003 (Mathematics)

Question 1

Cardinal numbers

Answer 1

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

Question 2

Ordinal numbers

Answer 2

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

Question 3

Expanded form

Answer 3

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

Question 4

Expanded Notation

Answer 4

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

Question 5

Order of Operations

Answer 5

Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

Question 6

What happens when reciprocals are multiplied

Answer 6

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

Question 7

Percent Change Equation

Answer 7

(new number - original number) / Original number

Question 8

Prime Factorization

Answer 8

finding all the prime numbers (tree style)

Question 9

Greatest Common Factor

Answer 9

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

Question 10

Least Common Multiple

Answer 10

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

Question 11

Estimating using compatible numbers

Answer 11

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

Question 12

Estimating using clustering

Answer 12

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

Question 13

Front-end Estimation

Answer 13

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

Question 14

Algebraic expressions - terms

Answer 14

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)

Question 15

Name by term number

Answer 15

1 - Monomial
2 - Binomial
3- Trinomial

Question 16

Degree of polynomial

Answer 16

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

Question 17

Rule for dividing a negative number when solving inequalities

Answer 17

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

Question 18

How to solve compound inequalities

Answer 18

Solve each inequality separately

Question 19

Slope Intercept Equation

Answer 19

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

Question 20

How to find slope when using points on a graph

Answer 20

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

Question 21

Complementary Angles

Answer 21

angles that add up to 90°

Question 21

How to find y-intercept

Answer 21

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

Question 22

Supplementary Angles

Answer 22

angles that add up to 180°

Question 23

scalene triangle

Answer 23

triangle with no congruent sides

Question 24

isosceles triangle

Answer 24

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

Question 25

equilateral triange

Answer 25

all sides are congruent and all angles are 60°

Question 26

Equation to find sum of angles in shapes

Answer 26

(n-2)x180 n = number of sides

Question 27

Pythagorean Theorm

Answer 27

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

Question 28

Transformations - translation

Answer 28

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

Question 29

Transformation - rotation

Answer 29

spins or rotates a figure about a fixed point or line

Question 30

Transformation - reflection

Answer 30

aka flip or mirror image - "flip" an image over a line or axis

Question 31

Circle area

Answer 31

A = π r^2

Question 32

Volume of a sphere

Answer 32

v = 4/3 π r^3

Question 33

Volume of a box

Answer 33

v = l w h

Question 34

circumference

Answer 34

2 π r

Question 35

Frequency table

Answer 35

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

Question 36

Bar graph

Answer 36

track and compare change over time

Question 37

Histogram

Answer 37

display of information gathered in a frequency table

Question 38

Stem and Leaf plot

Answer 38

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

Question 39

Line graph

Answer 39

shows change over time

Question 40

scatter plot

Answer 40

contains 2 data sets. Tells if there is a correlation

Question 41

Probability equation

Answer 41

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