Math Regents Practice

Statistics

100

Lower quartile / Q1

What is the median of the lower half of the data set?

a) Find the median of the entire data set 

b) Find the median of the lower half of data

200

Upper quartile / Q3

What is the median of the upper half of the data set?

a) Find the median of the entire data set 

b) Find the median of the upper half of data

300

Interquartile range

The range between the upper and lower quartiles

a) Find Q1 and Q3

b)Q3 - Q1

400

Mean

Median

Mean - The average of the data?

a) Add all elements to data set

b) Divide by number of elements

Median - The middle element of the data set?

a) List elements in numerical order

b) If there is an odd number of elements, the median is the middle number

c) If there is an even number of elements, the median is the middle of the two.

500

Mode

Range

Mode - The element that occurs the most times in the set?

a) If two different elements occur the same amount of times, they are both the mode

b) If all the elements occur the same amount of times there is no mode

Range - The difference between the largest and smallest number

a) Find max

b) Find min

c) Largest - smallest

Formulas

100

Standard form

Ax+By=C

200

Axis of symmetry

x=-b/2a

300

Parabola

y=ax²+bx+c

400

Compound interest formula

A=P(1+r/n)^nt

500

Root formula

y=a(x-Root 1)(x-Root 2)

Complete the square

100

p²+14p-30=0

{−7+√87,−7−√87}

200

v²+6v−59=0

{−3+2√17,−3−2√17}

300

x²+6x+8=0

{−2,−4}

400

8x²+16x=42

{3/2,−7/2}

500

k²−12k+23=0

{6+√13,6−√13}

Inequalities

100

30b+53≥18b-83

b≥-34/3

200

60a+64≥80a  -92

a≥-34/5

300

Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 105 GB available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs.

The cheapest memory cards she can find each hold 256 GB and cost $10. She wants to spend as little money as possible and still get the storage she needs.

Let C represent the number of memory cards that Nancy buys.

What is the inequality.

105+256C≥1000

400

-6x+14<-28 OR 9x+15≤-12

x≤-3 OR x>7

500

John needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an hourly rate of $28. The plumber only charges for a whole number of hours. John would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

65+28H≤250

Random

100

Recursive formula

a_n=a_n-1+d

200

Explicit formula

a_n=a+(n-1)^d

300

Which ordered pair would not be a solution to y=x³-x?

(1) (-4,-60) 

(2) (-3,-24) 

(3) (-2,-6) 

(4) (-1,-2)

4) (-1,-2)

400

When solving the equation 12x²-7x=6-2(x²-1), Evan wrote 12x²-7x=6-2x²+2 as his first step. Which property justifies this step?

(1) subtraction property of equality

(2) multiplication property of equality

(3) associative property of multiplication

(4) distributive property of multiplication over subtraction

(4) distributive property of multiplication over subtraction

500

Solve by quadratic formula

8n²+7n-15=-7

{−7+√305/16,−7−√305/16}