Geometry
Finance
Perimeter/Area/Volume
Equation of a Line
Solving Equations
100
What is the sum of a triangle's interior angles?
180
100
The difference between Gross Income and Net Income
Gross income is income before taxes/deductions and net income is income after taxes/deductions.
100
What is the relationship between radius and diameter?
d=2r
100
What is the equation of the line passing through points (4,3) and (5, 9) in slope intercept form?
y=6x-21
100
What is the value of x in the equation below?
− 7(x −3) = −4(x + 3)
x = 11
200
What is the value of angle x?
66 degrees (Interior Angle Theorem)
200
You have $1000 in a chequing account. Each year for 30 years, on your birthday, your aunt gives you an additional 5% on the $1000 or $50. You continue to add it to the money in the account. How much money will you have at the end of the 30 years.
You will have $2500.
200
What is the length of the missing side?
h=10
200
What is the equation of the line below, in slope intercept form?
y=-2x+3
200
Solve for x:
(x - 2) (x + 9)
+ = 7
7 3
x = 9
300
What is the name of the theorem shown below?
Alternate Angle Theorem (Alt)
300
DAILY DOUBLE WITH A TWIST
You may wager an amount from 0-3000 points. The amount you wager can then be placed against another team. If you answer correctly you take the points from the team you placed the wager against. If you answer incorrectly you will give that many points to the team you wagered against.
Compound interest will also add the interest you receive onto the additional interest that you earned previously. Thus a shorter compounding period allows for a higher interest earned (weekly vs yearly) and a longer compounding period causes lower interest earned (monthly vs weekly).
300
What is the volume of the figure below?
600 cm3
300
Mila is a painter. She charges her customers a flat rate of $100 plus $50 an hour. What is the equation of the line that represents Mila's earnings, in slope-intercept form?
y=50x+100
300
Turn the following word statement into an algebraic equation, then solve:
Eight multiplied by the difference of a number and three is negative twenty.
8(x - 3) = -20
x = 1/2
400
Find the measure of angle n
66 degrees
400
Gloria’s net annual salary is $42000. She does a bit of tutoring on the side and earns $150 per month. Her monthly housing expenses include rent of $943.68 plus $150 in utilities. Her phone/cable/internet bundle costs her $100/month. She has a monthly car payment of $350 plus $100 in insurance. Her fuel cost averages $180 per month with additional transportation costs of $15 per week for when she needs to take the bus. On average Elishea spends $80 per week on groceries and spends $10 per day eating out for lunch. Her personal and household items average $230 per month, while her entertainment and recreation costs $170 per month. She has a dog that she spends approximately $1200 per year to care for.
Which expenses do you think she can cut back on to increase her savings?
Answers may vary:
She can find a cheaper place to rent
She can find a roommate to share rent with
She can find cheaper phone/cable/internet, or cut out cable/internet if is not needed
She can sell her car and bus/bike for transportation instead
She can stop eating out every day for lunch
She can try to reduce spending on household items/entertainment
She can find cheaper dog care
400
What is the perimeter of the shape below?
68 m
400
Connie hires someone to fix her heater. She is told that she will be charged a base fee and $45/hour. Her bill is $215 and it took 2 hours to fix her heater. If it had instead taken 3.5 hours to fix her heater then how much would she have been charged?
It will cost Connie $282.50 to get her heater fixed if it had taken 3.5 hours instead.
400
The solution below contains two errors. Identify where the errors occur, explain why they are incorrect, and show the correct solution.
4(x + 2) - 3(x - 2) = 5
4x + 8 - 3x - 6 = 5
x + 2 = 5
x = 5 + 2
x = 7
Error in the second line (Did not distribute the -3 properly as the -2 should have become +6 not -6)
Error in the 4th line (When moving the + 2 to the right side did not use inverse operations, needed to subtract on the right side instead)
Correct answer: x = - 9
500
Find the measure of each angle.
Find Angle A, Angle B and Angle C while also stating if you used any angle theorems.
Angle A: 78 degrees
Angle B: 68 degrees
Angle C: 34 degrees (SA)
500
You just bought a new car for $30,000. The car's value depreciates by 15% per year. What would be the value of the car in 5 years?
The car will have a value of about $13311.16 after 5 years.
Not a good investment, next time buy something that appreciates instead!
500
What is the area of the figure below?
50 cm2
500
Darian is walking in front of a motion sensor. After 1 s, he is 3.9 m from the sensor. After 3 s, he is 1.7 m from the sensor.
After how many seconds will Darian’s distance be right beside the motion sensor? Round your answer to 1 decimal place.
It will take Darian about 4.5 seconds to reach the motion sensor.
500
The cost of a board game is 5 times the cost of a deck of cards. If Danny bought 3 board games and 6 decks of cards for $104.79. How much does each item cost? (Solve only using one variable)
The deck of cards cost $4.99 and the board game costs $24.95.