Ratios
Are these ratios equivalent?
7/9 and 28/36
Yes
What are the formulas for finding area and circumference of a circle?
Area = ∏r2
Circumference = 2∏r OR ∏d
What is the rule for adding integers?
Same sign = add and keep the sign
Different sign = subtract and keep the sign of the larger number
What are the formulas for finding the surface area and volume of a rectangular prism?
Surface area = 2(l∙w) + 2(l∙h) + 2(w∙h)
Volume = l∙w∙h
Solve for b.
26 = -5.2h
h = -5
Use equivalent ratios to find the missing number.
15/n = 5/7
21
Find the area of a circle with a radius of 16 inches.
803/84 in2
What is the rule for subtracting integers?
KEEP, CHANGE, CHANGE
Keep the sign of the first number.
Change the subtraction sign to addition.
Change the sign of the second number.
Then, follow the rules for adding integers.
What are the formulas for finding the surface area and volume of a triangular prism?
Surface area = Area of triangle bases (2∙1/2∙b∙h) + area of 3 rectangles (l∙w)
Volume = 1/2∙b∙h∙l
Solve for r.
3r = -39
r = -13
A ferris wheel can accommodate 60 people in 30 minutes. How many people can ride the ferris wheel in 5 hours?
600 people
Find the circumference of a circle with a radius of 10 yards.
62.8 yards
What are the rules for multiplying/dividing integers?
Same sign = answer will be positive
Different sign = answer will be negative
What are the formulas for the surface area and volume of a cylinder?
Volume = ∏r2∙h
Solve for y.
y + 3.7 = -4.8
y = -8.5
A classroom had 35 glue sticks. If the ratio of glue sticks to glue bottles was 5:2, how many glue bottles did the classroom have?
14 glue bottles
Find the circumference of a semi-circle with a diameter of 12 inches.
30.84 inches
(circumference of whole circle = 37.68, divided by 2 = 18.84, then you add diameter back in)
(-93) - (-33) = ?
(-60)
What is the surface area and volume of a cylinder with a radius of 6 yards and a height of 8 yards?
Surface area = 527.79 yd2
Volume = 300.44 yd3
Solve for a.
a/4 = -3.1
a = -12.4
For homework, a student had to complete 15 math problems. If she's completed 6 problems, what is the ratio of unfinished problems to finished problems?
3:2
Find the area of a quadrant where the diameter is 36 cm.
254.34 cm2
(area of the whole circle is 1017.36, then divide by 4)
(+3036) ÷ (-33)
(-92)
What is the surface area and volume of a rectangular prism with a length of 13 in, a width of 7 in, and a height of 4 in?
Surface area = 342 in2
Volume = 364 in3
Solve for y.
y - 2.1 = -2.8
y = -0.7