Unit Rates
Scale factors
Simplify Expressions
Proportional Relationships
Random
500
Cecil wanted to buy 3lbs of beef at $11.99/lb. How much would 3lbs cost?
$35.97
500
A square has side lengths of 4cm. If we used a scale factor of 3, what are the measurements of the image?
12cm
500
Simplify the expression: 6(7 + x)
42 + 6x
500
What is a proportional relationship? (definition)
Comparing two or more values continuing at the same rate.
500
What is the Capital of Washington State?
Olympia
600
Mr. Lopez drove 434 miles on 14 gallons of gas. How many miles per gallon does his car get?
31 mpg
600
An equilateral triangle has side lengths of 18cm. If we used a scale factor of 1/3, what would be the side lengths of the image?
6cm
600
Simplify the expression:
4(x + y) + 5(x - y)
9x - y
600
Karl made $90 is 6 hours on Monday, $60 in 4 hours on Tuesday, and $135 in 9 hours on Wednesday. Is this a proportional relationship?
Yes. He made the same hourly rate $15/hour each day.
600
In what city would you find the famous 'Christ the Redeemer' statue?
Rio de Janeiro, Brazil
800
Mrs. Wallace-Lopez's car gets 29.5mpg. If she drove 354 miles, how many gallons of gas did she use?
12 gallons
800
A quadrilateral has side lengths of 3cm, 5cm, 8cm, and 11cm. If we used a scale factor of 2.5, what would be the side lengths of the image?
7.5cm, 12.5cm, 20cm, 27.5cm
800
-(x - y) - 7(4 + x)+ 12
-8x + y - 16
800
Is this a proportional relationship?
Yes. The unit rate cost/dozen cookies is the same for every amount of cookies.
800
What is the only country to border both the Atlantic and Indian oceans?
South Africa
900
Cecil bought 6 apples for $4.08. Apples were on sale for $0.10 off each apple. What was the ORIGINAL price per apple?
$0.78 per apple
900
A map is using a scale of 1cm/5000ft. If two cities are 4.3cm apart on a map, how many feet apart are they in real life.
21,500 ft apart in real life.
900
x(x + y) -4x -(x - y)
x^2 + xy - 5x + y
900
Jonah V. entered a hotdog eating contest and ate 20 hotdogs in the first 5 minutes. 10 minutes into the competition Jonah has eaten 30 hotdogs. Then at the end of the 15 minutes competition he had eaten a total of 40 hotdogs. Would this be a proportional relationship? Explain.
No. He starts off at a rate of 4 hotdogs/min, but at the 10 minute mark his rate is only 3 hotdogs/min. He finishes at a rate of about 2.6 hotdogs per min.
900
What is Japan's currency called?
Yen
1000
Mr. Lopez went on a long drive and drove at an average rate of 72 mph. He made 3 stops all lasting 15 minutes. He drove a total of 648 miles. What was the total time for this trip?
9 hours and 45 minutes
1000
A map uses a scale of 2.5cm/15 miles. If two cities are 21.3cm apart on the map, how many miles apart are they in real life?
127.8 Miles in real life
1000
y(x+y) +2y^2 - 4(x - y) +18 - 3(2 + x)
xy + 3y^2 - 7x + 4y + 12
1000
Mr. Lopez has a fenced area of his yard measuring 25ft long and 20ft wide. He wants increase the fenced area by a scale factor of 3. How many feet of fencing will Mr. Lopez need for the new fenced area.
270ft. 25x3=75 and 20x3=60.
72(2) + 60(20) = 270
1000
Which country first granted women the right to vote?
New Zealand