Data
Exponential Growth
Inequalities
Distance and Midpoint
Quadratics
100

a type of graph used to display the relationship between two variables.

What is a scatter plot?

100

a sequence of numbers where each term is found by multiplying the previous term by a constant factor

What is a Geometric sequence?

100

the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.

What is an Inequality

100

the length of the shortest path between two points.

What is distance?

100

ax^2 + bx + c = 0

What is the quadratic formula?

200

A teacher recorded the following test scores for her class: 78, 85, 92, 88, and 81. What is the mean (average) test score?

84.8

200

A small town has a population of 1,000 people. If the population grows at a rate of 5% per year, what will the population be after 3 years? Use the formula P=P0(1+r)t where P0 is the initial population, r is the growth rate, and t is time in years.

Approximately 1,158 people

200

Solve the absolute value inequality:
∣2x−4∣≤6∣2x−4∣≤6

−1≤x≤5

200

the point that is exactly halfway between two given points.

What is Midpoint?

200

Solve for x:
x2−5x+6=0

x=2 or x=3

300

The ages of participants in a study are as follows: 22, 24, 19, 25, 30, and 28. What is the median age of the participants?

24.5

300

A culture of bacteria starts with 200 bacteria and doubles in size every 4 hours. How many bacteria will be present after 12 hours?

1,600 bacteria

300

A school is planning a field trip and can accommodate a maximum of 120 students. If the number of students attending the trip is represented by xx, write an inequality to represent this situation and solve for xx.

x≤120

300

√((x₂ - x₁)² + (y₂ - y₁))²

What is the Distance formula?

300

Solve for y:
2y2+3y−5=0

y=1 or y=−2.5

400

A student recorded the number of books read in a year by her classmates: 5, 7, 3, 9, and 4. What is the range of the number of books read?

6

400

An investment of $1,500 is made in an account that earns 6% interest compounded annually. What will the investment be worth after 5 years? Use the formula A=P(1+r)t where A is the amount of money accumulated after n years, including interest.

Approximately $2,007.34

400

Solve for y:
5y−4≥21

y≥5

400

(2x1+x2 over 2,2y1+y2 over 2)  

what is the Midpoint Formula

400

Solve for z:
z2+4z+4=0

z=−2

500

In a survey about favorite fruits, the following results were obtained: apple, banana, orange, apple, grape, banana, apple. What is the mode of the favorite fruits?

Apple

500

A certain radioactive substance has a half-life of 3 years. If you start with 80 grams of the substance, how much will remain after 9 years?

10 grams

500

Solve for a:
−4a+5≤13

a≥−2

500

Given the points A(2,3)A(2,3) and B(8,7)B(8,7):

  1. Calculate the distance between points AA and BB.
  2. Find the midpoint of the segment connecting points AA and BB.

1. 7.21 

2. (5,5)

500

Solve for a:
3a2−12=0

a=2a or a=−2a

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