Scaling/Rates
A drawing of a building is 1.25 inches tall. The scale is 1in=30ft. What is the actual height of the building?
37.5 feet
What is the value of 3/4 + 7/12 - (-4)?
5 1/3
Simplify 8c +6 -3c -2
5c +4
Which of these represent proportional relationships?
A) (1.5,6) (3.25,13) (7,28)
B) (4,1) (5,2) (9,6)
C) y=7/8 x
D) y=x+1
E) a graph of a straight line starting at (0,3)
F) a graph of a straight line starting at (0,0)
A, C, & F
Mr. Webb gave his waiter a $5.60 tip on a $40 bill. What percent tip did he give the waiter?
14%
Chad built a scale model of a statue. He built the model 7 inches tall to represent the actual height of 15 ft. Which equation represents the relationship between the actual height (a), in feet, and the height of the model (m), in inches?
A) a=7/15 m
B) m=7/15 a
C) a=.75m
D) m=.75a
B. m=7/15 a
What is the value of -2/3 x 5/-6
5/9
Simplify this expression: -3(4x-2) - 2x
-14x + 6
Which tank represents a NON-proportional relationship?
Tank A - Starts at 600 gallons full and increases at a steady rate of 200 gallons per minute
Tank B - Starts at 0 gallons full and increases at a steady rate of 300 gallons per minute
Tank A
Mrs. Walker buys $80 of pet food each month. $50 of that is for her dogs. What percent of pet food does she spend on her cats?
37.5%
Cheryl volunteers to mow the lawn at a retirement home. She can mow 1/4 of the lawn in 3/4 of an hour. At that rate, how long will it take her to mow the entire lawn?
3 hours
What is the value of 3/8 + (-4/5) + (-3/8) + 5/4?
9/20
Which expressions are equivalent to -2.5(1-2n) -1.5n?
A) -2.5 -3.5n
B) -2.5+3.5n
C) -2.5-6.5n
D) -2.5-n(5-1.5)
E) -2.5+n(5-1.5)
B & E
Point N lies at (18,12). Which other point could lie on the line that is created with a proportional relationship?
A) (6,0)
B) (2,3)
C) (1.5,0)
D) (7.5,5)
D (7.5, 5)
A football team plays 12 games in one season. They win 9 of them. What percent of the games did they LOSE?
25%
Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how much?
The dragonfly is 4.5 feet per second faster.
-2(3 1/2 - 4 5/8)
2 1/4 OR 2.25
Simplify: 2(x – 3) + 4x + 3
6x - 3
What is the constant of proportionality?
x | y
2 | 1.25
4 | 2.5
6 | 3.75
10 | 6.25
.625
Mrs. Purvis is a crazy cat lady and owns A LOT of cats. She also loves to take in the unlucky black cats. She now has 38 black cats and 12 cats of other colors . What percent of her cats are black?
76%
Brett made a scale drawing of a rectangular room in his house. The actual length of the room is 12 4/5 ft. The scale used to make the drawing was 1/4 in=1ft. What is the length, in inches, of the room on the drawing?
3.2 inches
8/15 divided by -0.35
-32/21 OR -1.52
What is -4(x+2) -.5(2x-6) simplified?
-5x -5
Price of Spices:
Cumin - 1.5 ounces - $4.80
Ginger - 0.8 ounces - $3.60
Nutmeg - 1.8 ounces - $6.30
Thyme - 1.25 ounces - $4.50
Which spice costs the LEAST per ounce?
A. cumin
What is 3/17 as a percent? (Round to the hundredths place.)
17.65%