Ratio & Porportionality
A recipe requires 3/4cup of sugar for every 1/2 cup of flour. How many cups of sugar are needed per cup of flour?
1 1/2
17.5+(-17.5)= ?
0
3(x-4) - 2(x+5)
x-22
Can a triangle be drawn with sides of length 3 cm, 4 cm, and 10 cm?
No. According to the Triangle inequality Theorem, the sum of any two sides must be greater than the third side (3+4<10).
A biologist wants to estimate the number of catfish in a lake. She catches a random sample of 60 fish, and finds that 12 of them are catfish. If the lake is estimated to have a total of 1,500 fish, how many are likely to be catfish?
approximately 300 catfish
A 2/3 pound bag of candy costs $4. What is the unit price (cost per pound)?
$6
-0.75+(-1.5)=?
-2.25
A store offers a 20% discount on all items (x). Write two equivalent expressions that represent the new price, and explain what they.
1. 0.8x
2. x-0.2x
Construct a triangle with angles 40 degrees, 60 degrees, and 80 degrees. Is it unique?
No, it is not unique.
The weather forecast states that the probability it will rain tomorrow is 0.30. Is it impossible, unlikely, neither likely nor unlikely, likely, or guaranteed that it will rain tomorrow?
Unlikely
To make a drink, mix 1/2 cup of syrup with 1/3 cup of water. What is the unit rate of cups of syrup per cup of water?
1.5
A store owner buys a coat for $50 and marks it up by 30% . Later, she puts the coat on sale for 10% off the new price. What is the final selling price?
$58.50
A rental car company charges a flat fee of $45 plus $0.25 per mile. If James has budget of at most %100, what is the maximum number of miles (m) he can drive?
220 miles
A classroom floor is 34 ft long and 20 ft wide. A drawing uses a scale of 1 inch = 16 feet. What is the width of the classroom in the drawing?
1.25 inches
A bag contains 2 blue, 4 red, and 5 green marbles (11 total). What is the probability of selecting a green marble?
5/11
If 1 1/4 pounds of apples cost $2.50, what is the cost per pound?
$2.00
Sarah has $150.50 in her account. She writes a check for $60.00, withdraws $20.50, and then deposits $35.00 . What is her final balance?
$105.00
A laptop is originally priced at $480. it is on sale for 20% off.After the discount, a 5% sales tax is applied to the sale price. What is the final cost of the laptop?
$403.20
A circle has a radius of 4 inches. Find its area in terms of pie.
16 inches squared
You flip a coin 50 times and it lands on heads 28 times. What is the approximate probability of landing on heads based on your experiment?
14/25 or 0.56
In a graph, a line passes through (0,0) and (2,10). What is the unit rate?
5
Water expands by 9% (0.09) when frozen. If you have 1/3 of a gallon of water, what is the volume of the ice in gallons?
0.363
A department store is having a sale. A jacket originally costs $84.50 . It is on sale for 25% off. If the sales tax is 8%, what is the final price of the jacket? Use estimation to check if your answer is reasonable.
$68.44
a circular garden has a radius of 10 feet. If you want to put a fence around it, how many feet of fencing do you need?
62.8 feet
A student is selected at random from a class of 10 boys and 10 girls. What is the probability that a girl will be selected?
1/2