Proportionality
What is the formula for proportionality?
K=Y/X
y divided by x
Add these fractions:
3 4
- + -
5 5
7
- = 1 2/5
5
What is the difference between a square and a rectangle?
A square has 4 equal sides
A rectangle has 2 congruent sides/ 2 sides that are the same as each other
When we see this:
20+ (-16)=
instead of adding the negative we should....
subtract
20-16=4
What is the formula for Area of a TRIANGLE?
Area of a triangle= Base x Height / 2
BxH/2
Is this graph proportional?
X Y
20 25
30 45
40 60
No
Subtract these fractions:
18 11
- - -
20 20
7
-
20
What is the difference between a cube and a square?
A cube is a 3-D figure with 6 faces
A square is a 2-D figure with 4 equal sides
what is -40+26=?
flip it to 26-40
What is the point (0,0) called on a coordinate plane?
The origin
The rate of apples is proportional to the cost. How much does 1 apple cost?
Apples Cost
2 $3.00
$1.50 for 1 apple
Add these fractions:
4 9
- + -
5 10
4x10 + 9x5 40+45 85
---------------= --------= ------ = 1 35/50
5x10 50 50
If a square has a side length of 20cm, what is the area AND perimeter?
Area= LxW = 20x20 = 400cm
Perimeter= L+W+L+W = 80cm
What is 35 + (-21)=?
14
35-21= 14
When dividing these fractions, what number completes the fraction for the whole number?
3
5 / ---
4
1
5 3
-- / --
1 4
The rate Ashley charges for tutoring is proportional to the cost. How much does she charge for 5 hours of work?
Hours Cost
3 $45
$75 for 5 hours of work
Divide these fractions:
1
8/ --
4
8 1 8 4 32
- / - = - x - = -- = 32
1 4 1 1 1
A garden has a measurement of 16 ft by 35 ft. What is the total area AND perimeter?
Area= 16 x 35 = 560 sq ft.
Perimeter= 16+35+16+35 = 102 sq ft.
The temperature is -2 degrees Celsius. If the temperature rises by 15 degrees, what is the new temperature?
-2 +15= 13 degrees
A fish starts at -9 meters and changes -11 meters. What is the final elevation?
-9 + (-11)= -20 meters
Michelle is on a 450 mile long road trip. She drove 120 miles in 2 hours. The miles driven is proportional to the time. How long, in hours, does it take to drive the whole trip?
Miles Time
120 2 hrs
1 ?
450 ?
7.5 hours.
2 hours= 60(mins in 1 hr)x2= 120 minutes
120 minutes / 120 miles = 1 mile per hour
1 mile per hour x 450 miles= 450 minutes
450 / 60 (minutes in an hour)= 7.5 hours
Turn this mixed fraction into an improper fraction then add:
3 6
2 -- + --
5 10
3 2x5+3 13 6
2 --- = -------- = ----- then add -----
5 5 5 10
13 6 13x10 + 6x5 130+30 160
--- + ---- = ---------------- --------- ------
5 10 5x10 50 50
Volume= Area of the base X width
A cube has a side length of 10 in. What is the total volume of the cube?
1,000 cubic inches
Area of base= LxW= 10x10= 100
100 X 10= 1,000 cubic inches
At midnight the temperature is -6 degrees F. At midday the temperature is 9 degrees F. By how much did the temperature rise?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-*-------------------------------------*-
The temperature rose 15 degrees.
What is the difference between a prime and composite number?
Prime- Factors only 1 and itself
Composite- More factors than just 1 and itself