Fractions
Rational/Irrational Numbers
Mean, Median and Mode
Percentages
Algebra
100

A class sold 3/4 of their raffle tickets in the first week and 1/8 of the tickets in the second week. What fraction of the tickets have been sold? What fraction is still unsold?

7/8 of the tickets have been sold 

1/8 of the tickets are still unsold

100

Demonstrating on a Line Graph:

What is 16 plus 18

35 

Points apply to the best line graph demonstration

100

What are mean, median, and mode, in your own words, while using examples?

  • Mean: The mathematical average. You find it by adding all the numbers in a set together and dividing by the total count of numbers.
  • Median: The middle value. You find it by arranging all the numbers from smallest to largest and picking the exact center number.
  • Mode: The most frequent value. You find it by counting how many times each number appears in your set. [1, 2, 3, 4, 5]
100

A shirt costs $40. It is on sale for 20% off.

Identify the discount amount and the new price:

Discount Amount: $8

New Price: $32

100

3(x−4)=2x+5

x = 17

200

10 / 21 × 7 / 15

Leave your answer in simplest form!

2 / 9

200

(−4)(5)+(−3)(2)

-51

200

What is the mean of the number set:

78, 85, 92, 81, 89

85

200

A bicycle originally costs $240. It is discounted by 15%, and then a salesperson earns a 4% commission based on the sale price.

What commission does the salesperson earn?


Discount:
15% of $240 = $36

Sale price:
$240 − $36 = $204

Commission:
4% of $204 = $8.16

200

Solve for x:

x =   10

350   50

x = 70

300

A submarine is at −3/8 mile below sea level. The submarine descends another 1/4 mile below sea level. At what level will the submarine descend?

-5/8 miles

300

In your own words, What is the difference between rational numbers and irrational numbers?

Rational numbers are numbers that can be written as a fraction or a ratio. 

Irrational numbers are numbers that can’t be written as a fraction or ratio. 


300

Find the median and mode of this set of numbers:

(22, 16, 11, 12, 14, 15, 12, 18, 19, 14)

Median = 14.5 

Mode(s) = 12 and 14






300

A town's population increased from 8,000 people to 9,200 people in one year.

What was the percent increase?


15% increase

300

A local carnival charges an entry fee of $5, with an additional fee of $3 per ride.
Write a function rule (f(x)) for the total cost, where (x) represents the number of rides. Then, calculate how much it will cost if you go on 4 rides

f(x) = 3x + 5 

f(4) = 17

400

2 6/5 ÷ 18/17

Leave your answer in a fraction!

136/45 or 3 1/45

400

−5+(32×9)−(−23×4)+57−2

405

400

A school held a reading challenge. The number of books read by 11 students was:

6, 8, 10, 7, 8, 12, 15, 8, 9, 11, 6

What is the range and median of the number of books read? 

If one more student joins the challenge and reads 30 books, how does this affect the mean and median?

Mean: 9.1 = 9 Books 

Median: 8 Books

New Mean: 10.8 or 11 Books

New Median: 8.5 Books

400

A bicycle originally costs $240.

  • The store first gives a 15% discount.
  • Then the customer uses a coupon for an additional 10% off the discounted price.
  • Finally, a 6% sales tax is added to the purchase

What will be the new price of the bicycle? Compare to the original price.

$194.62

The customer paid $45.38 less than the original price.

400

A concert venue charges $6 entry fee plus $4.75 per drink.

A student has at most $40 to spend.

How many drinks can the student buy? Write and solve an inequality.

7 drinks
500

(4 3/2 −1 5/6) × 2 4/5

154/15 or 10 4/15

500

[(−2 2/3)÷ 4/9]+(5/6×12)

4

500

8, 12, 14, 15, 18, 18, 20, 22, 24, 24, 27, 29, 31, 35, 38, 42, 50

Organize the data above and build a box plot with the following: Minimum, First Quartile (Q1), Median, Third Quartile (Q3), and Maximum. 

Minimum: 8

Q1: 16.5 

Median: 24

Q3: 33

Maximum: 50

500

A washing machine's value decreases by 25% one month and then increases by 15% the next month.

If the washing machine started at $160, what is its value after both changes?

$138

500
Elena and her friends are going to the local carnival. The carnival offers two different pricing packages:
  • Package A: $15 entry fee plus $2.50 per ride ticket.
  • Package B: $25 entry fee plus $1.50 per ride ticket.
Elena calculates that if she buys x ride tickets, the total cost for both packages will be exactly equal. How many ride tickets (x) does Elena plan to buy, and what is the exact total cost?


15 + 2.50x = 25 + 1.50x is the formula 


Elena plans to buy 10 ride tickets at a cost of $40.