Ratios
Solve the ratio:
2 : 7 = __ : 98
28 : 98
Are these ratios proportional?
(3/4) and (5/6)
No
Solve for X:
200 = -25x
x = -8
Write 6% as a decimal and a fraction.
1) 0.06
2) 3/50
A) How many degrees are in a triangle?
B) How many degrees are in a four sided figure?
B) 360 degrees
Solve for the unit rate:
(288 miles/ 6 hours) = ( x miles/ 1 hour)
x = 48 miles
Solve this proportion:
(6/10) = (36/X)
x = 36
Solve for b:
(b/36) = 9
b = 324
Order the numbers from least to greatest:
(7/8), -0.9, 90%
-0.9, (7/8), 90%
A photograph has the dimensions of 5.4 cm by 4 cm. The school used a scale of (1/15) to turn the photograph into a painting. What are the dimensions of the painting?
The painting is 81 cm by 60 cm.
During exercise, Sonia's heart beats 675 times in 5 minutes. How many times does it beat per minute?
(675 beats/ 5 mins) = ( x beats / 1 min)
135 beats per 1 minute
Triangle A has a base of 10 ft and a side length of 6 ft. Triangle B has a base of 5 ft, and a side length of 3 ft.
Are these triangles similar?
Draw the triangles and explain how you know they are or are not similar.
Yes, the triangles are similar.
14n + 2 - 7n = 37
n = 5
Solve the inequality for y:
y + 21 < -4
y < -25
A rectangle and a triangle got fused together. The rectangle is a 7 in by 4 in, and the triangle has a base of 4 in and a height of 9 in. What is the total area of the figure?
Hint: area of a rect. (bxL), area of a tri. (1/2 x bxh)
A = 46 in2
A recipe for 6 muffins calls for 360 grams of oat flakes. How many grams of oak flakes are needed for each muffin?
60 grams per muffin
Is this table proportional?
__X__ __Y__
1 6
2 12
4 24
6 36
Yes, the table is proportional.
2(q + 4) +3 = 15
6w < 4
Write you answer as a decimal.
w < .6 repeating.
Sally has a cylindrical shaped above ground pool. She wants to know how much water could be filled in it completely. The length of pool is 8 ft and it has a height of 4 ft. What is the volume of the pool?
Hint: V= 3.14 x r2 x h
V = 200.96 ft3
During a road trip, the Webers buy gas at two different stations. At the first station, they pay $18. 63 for 9 gallons of gas. At the second station, they pay $29.54 for 14 gallons. Which station offers the lowest price per gallon?
The first gas station.
How do you know if a line on a graph is proportional?
It raises from point to point at a constant rate and it goes through the origin.
Each pen cost $1.17
Steven has $25 dollars. He spent $10.81, including tax, to buy a new DVD. He needs to set aside $10.00 to pay for his lunch next week. If peanuts cost $0.38 per package including tax, what is the maximum number of packages that Steven can buy?
Steven can buy, at most, 11 packages of peanuts.
Robbie got his dad a new tool box for Christmas. He needs to figure out how much wrapping paper he needs to cover it completely. He measured it and found out it is 12 in by 8 in and has a height of 6 inches. How much wrapping paper does he need?
Hint: A = 2xLxW + Perimeter x Height