Ratios and Proportions
You can swim 0.10 mile in 2 minutes. If you swim at the same speed, how many miles do you swim in 1 minute, written as a decimal?
0.05 miles in 1 minute
What is -3 - 4 ?
-7
What is an equivalent expression to 3(3a + 11)?
9a + 33 is equivalent to 3(3a + 11)
Farmers living in the country side marked 50 goats and released them. The next day, they counted 150 goats, 15 of which had marks. How many goats do you estimate are in the country side.
I estimate 500 goats are on the country side.
A photograph measures 4 inches by 6 inches. Haley enlarges the photograph to be 32 inches by 48 inches.
What is the scale of the enlarged photograph to the original photograph?
8 : 1 is the scale of the enlarged photograph to the original photograph
Does the following data show a proportional relationship? Why or why not?
(1,1)
(3,9)
(4,16)
(7, 49)
No the data does not represent a proportional relationship because a constant of proportionality does not exist.
It is 18°C at 8 AM, and 14°C by noon. What is the change in temperature from 8 AM to noon?
The change in temperature is -4°C.
A basketball player scores p points per quarter for 4 quarters of the regular game and then scores 5 points in overtime. Write an expression to represent the total number of points scored by the player in the regular game and overtime.
4p + 5
What is the mean score of your math grades?
93, 89, 96, 86, 91
The mean score of my grades is 91.
Can the following side lengths be used to construct a triangle? Why or why not?
3 inches, 5 inches, and 9 inches
No, they cannot construct a triangle because 3 + 5 < 9, 8 < 9 and the sum of the two shortest sides has to be greater than the longest side.
A graph that represents a proportional relationship what two characteristics?
What is the overall effect on your savings if you spend $5 at 3 different stores.
My savings goes down by $15 or there is a -$15 effect on my savings.
If x - 5 = 2, what is the value of 3(x - 2)?
The value of 3(x - 2) = 15
What is the median score of your grades?
93, 89, 96, 86, 91
The radius of a circle is 10 yards. What is the circumference of the circle?
The circumference is 62.8 yards.
You go to dinner with a friend and your bill is $32.80. You leave a 15% tip. How much do you pay in total for dinner including the tip?
I pay $37.72 i total for the dinner including the tip.
Is the following fraction a terminating or repeating decimal?
Repeating 3.777777777....
You have a bag of apples that contains red and green apples. You give 1 green apple and 2 red apples to each of your 5 friends and have no apples left over. How many apples did you start with in your bag?
I started with 15 apples in my bag.
What is the range of the following test scores?
81, 86, 86, 90, 92
The range is 11
The radius of a circle is 10 yards. What is the area of the circle?
The area of the circle is 314 yards2.
To cook a particular rice, it takes 1/3 cup water for every cup of rice. Write an equation to represent this relationship where w, stands for water and r stands for rice.
w = 1/3 r
A recipe calls for 1 and 1/3 cups of flour. If Ms. Yasmin decides to quadruple the recipe, how many cups of flour will she need?
She will need 5 and 1/3 cups of flour
What is the solution to the following inequality?
3x - 10 - 2x > 4
x > 14
What is the mode of the following data?
74, 84, 92, 92, 98
The mode is 92
Two angles are complimentary angles. If angle 1 measures 37 degrees, what is the measure of angle 2?
The measure of angle 2 is 53 degrees.