Equations/Inequalities
Proportions/Ratios
Percents
Probability
100
Diontaye has $2 in his bank account. He deposited $18 on Monday and $25 on Wednesday. At the end of the week, he withdraws an unknown amount of money. At the end of that week, his bank account is at $5. Write a simplified equation. (You do not need to solve)
45-x=5
100
Does this table represent a proportional relationship? Explain.
This table does not represent a proportional relationship because the unit rates are not the same. Therefore, a CoP does not exist.
100
A coat is on sale for 25% off. If the sales price is $75, what is the original cost of the cost?
$100
100
What is the probability of spinning the spinner and landing on a letter that is in the word, wizardry ?
3/4 or 75%
200
Leticia needs at least 100 votes in order to win the election. She already has 22 votes, and there are only 2 days left for voting. Graph the solution set for the number of votes she will need per day in order to win the election.
x is greater than or equal to 39
Closed circle at 39 going to the right
200
Every 2 inches on a model airplane represents 5 feet on a commercial airplane. Write an equation (y = kx) that will help Jeem find the actual length of a commercial airplane if Moyo gives him a length of its model airplane.
y = 2.5x
200
Omari is purchasing an LA Lakers ticket on Monday. Tickets are 15% off on Monday. Omari also has a coupon for an extra 10% off of the sales price. If the ticket originally costs $100, how much will Omari pay?
$76.50
200
DOUBLE JEOPARDY (team)
Damien rolled a fair die numbered 1-6. Using what he learned, he knows that there is a 50% chance of landing on an odd number. However, when he rolled the die 50 times, and looked at this data, he only rolled an odd number 40% of the time. Explain why this happen using mathematical vocabulary.
ORF (40%) is based on data and is what actually happens. TP (50%) is based on theory.
300
-1/4g - (1/2g - 1) = 7
What is 1/4 the sum of g + 18?
2.5
300
Demar can run 1/4 a mile in 20 minutes. Kalil can run 1/4 a mile in 15 minutes. Who runs a longer distance in 1 hour, and by how many miles?
Kalil, by 1/4 a mile
300
DOUBLE JEOPARDY (team)
Akerya is a smart businesswoman. She’s buying six machine parts for a low price and then selling them for a higher price to make a profit. If Akerya bought each machine part for $500 and marks them up by 20%, what is her total profit?
$600 profit
300
Double Jeopardy (everyone)
A basket has 4 red marbles, 6 blue marbles, 7 black marbles, and 8 green marbles. Kayla takes one marble out of the basket at random, records it, and then puts it back into the basket. Out of the 30 trials:
- Red was pulled 5 times
- Blue was pulled 8 times
- Black was pulled 10 times
Based on her data, how many times would she pull out a green marble out of 600 trials?
About 140 times
400
The length of a square is 5 inches. A rectangle has a length of 7 inches and a width of 2 inches. An isosceles triangle has two sides with a length of 10 inches and its third side is 4 inches. Trevon adds the perimeters of the three shapes together, and then multiplies that number by a magic number to get 1. What is that magic number?
1/62
or 0.01612903225
400
Contextualize the CoP in the graph below.
5 gallons of water is being used per 1 minute
400
5% tax is being added to the restaurant bill. Write three different expressions to represent the cost of the bill after tax, where x represents the bill before tax.
x + 0.05x
1.05x
1 5/100 x
1 1/20 x
400
There are five circles in a bag.
- Radius is 2.
- Diameter is 8.
- Radius is 3.
- Diameter is 4.
- Diameter is 6.
What is the probability that you’ll draw a circle with a circumference of 4pi or 6pi?
4/5 or 80%
500
Double Jeopardy (everyone's game)
In Ms. Barreau’s math intervention group, the average was an 88.8%. She was giving back the tests to her students, but she realized that she had misplaced Jedidah’s test. The test scores she has so far are shown:
80, 82, 75, 90, 100, 95, 92, 88, 100
Ms. Barreau believes Jedidah got an 84%. How many percentage points was she off by?
2%
500
DOUBLE JEOPARDY (assign & continue)
Oscar designed two computer programs, Motherboard and Exodus, that increases the size of a circle for every click. He wants to apply the programs to a circle that has a diameter of 6 inches.
Motherboard
- For every 5 clicks for the first 10 clicks, the diameter of a circle increases by 2.
- For every 10 clicks for the clicks after the first 10 clicks, the diameter increases by 1.
Exodus
- For every 3 clicks for the first 30 clicks, the radius of a circle increases by 2.
- For every 7 clicks for the clicks after the first 30 clicks, the radius increases by 1.
100 clicks later, which program will have create the larger circle, and by how many square inches (in terms of pi)?
Exodus by 998.75pi square inches
500
Luis is deciding whether he should register for Gold’s Gym or Planet Fitness. He wants to know which one will cost him less money for a year. (1 year = 12 months)
Gold’s Gym:
- $200 registration fee
- If he registers now, he’ll get 30% off his monthly fee for the first 6 months
- $50 monthly fee
Planet Fitness:
- $150 registration fee
- If he registers now, he’ll get 25% off his monthly fee for the first 3 months
- $40 monthly fee
Which gym membership should Luis choose and how much will he save by choosing this one over the other?
GG: 200+(0.7*50*6)+(50*6)=710
PF: 150+(0.75*40*3)+(40*9)=600
PF costs less; Luis will save $110
500
A deck has 52 cards with 13 cards of each suit. You randomly draw a card from the deck without replacing it. What's the probability that you will draw a diamond, followed by a hearts, followed by a diamond, and finally followed by a hearts, expressed as a percent? Round to the nearest hundredth of the percent.
13/52 * 13/51 * 12/50 * 12/49
0.37%