23 x 100
2,300
What is the smallest number that contains the letter "a" when spelled out?
1,000
What is an independent variable?
The variable that you change in an experiment
24
Find the area of a rectangle with a base of 20 inches and a width of 8 inches
160 in2
11 x 9
99
When does 6 + 11 = 5?
On a clock
What is the difference between a control group and a controlled variable?
Controlled variable: Things that you are not testing and are kept the same in different treatment groups
Control group: The group in an experiment that does not receive a treatment
Rewrite this expression as a single term and solve
32 x 3
33 =27
What is the perimeter of a rectangle with a base of 20 in and width of 8 in?
56 in
12 x -6
72
On a farm, there are ducks and cows. There are 18 legs and 7 heads in total. How many ducks are there?
5 ducks, 2 cows
Name a type of study that does not have a control group
Observational study
Simplify:
x3 * x2
x5
Find the area of a triangle with a base of 1 foot and a height of 3 inches. Include units in your answer.
12 * 3 * 1/2 = 18 inches2
11 x 23
253
An aircraft carrier made a trip to Guam and back. The trip there took three hours and the trip back took four hours. It averaged 6 km/h on the return trip. Find the average speed of the trip there.
Distance to Guam based on the return trip:
D = R * T = 6km/h*4h = 24km
Distance there = Distance Back = 24km
Rate on the way out:
R = D/T = 24 km / 3 hr = 8 km/h
What is the special name for the output or variable that you measure in an experiment?
Dependent variable
Simplify:
x3 * x7 - 21x10
-20x10
Find the perimeter of a triangle with a base of 1 foot and two side lengths of 10 inches. Include the units in your answer.
32 in
103 x 6 x 8
48,000
If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?
1.5 hens = 1.5 eggs/1.5 days
3 hens = 3 eggs/1.5 days
3 hens = 6 eggs / 3 days
6 hens = 12 eggs/3 days
6 hens = 24 eggs /6 days
or multiply both sides by 4
(4)1.5 hens = (4)1.5 eggs/1.5 days
find an equivalent fraction with 6 in the denominator
6 hens = 6 eggs / 1.5 days = 6 (4) eggs / 1.5 (4) days
I want to test if going to bed early improves test scores. Name the independent and dependent variables and one factor that I might want to use as a controlled variable.
Independent: bedtime
Dependent: test score
Controlled: Age, original bedtime or starting amount of sleep
Simplify:
x2y-3
_______
x15y3z-1
z
_____
x13y6
What is the circumference of a circle with a radius of 2 meters?
4*pi