Scale Factor
Proportional
Percentages
Integers
Equations
100
The second figure is a scaled copy of the first. Find the scale factor used from the first figure to the second figure in simplified fraction form.
What is 5/2 ?
100
What is the constant of proportionality in the equation y = 3x?
k=3
100
The price of gasoline rose from $3.50 to $3.71 in one week. By what percent did the gas price rise?
(3.71-3.50)/3.50 = .21/3.50= .06
6% increase
100
The temperature is -2. If the temperature rises by 15, what is the new temperature?
13 degrees
100
Simplify -4(2k - 6) - 4k
-12k - 24
200
If the scale factor from Figure A to Figure B is 2/3. Find the scale factor from Figure B back to Figure A
What is 3/2?
200
Is the table proportional?
No
200
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?
(8500-9559)/8500 = -1059/8500 = -.12
12% decrease
200
At midnight the temperature is -6. At midday the temperature is 9. By how much did the temperature rise?
15 degrees
200
Solve the equations.
14-3g=32
g=-6
300
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Find the measures of Rectangle B with scale factor of
1/2
What is 4.5in by 1.5 in
300
Write an equation for the table given the table is proportional.
y = 1.5 x
300
In 1995, America Online had about 3,000,000 users. Over the next decade, users are expected to increase from a few million to the tens of millions. Suppose the number of users increases by 150% by the year 2000. How many users will there be in the year 2000?
3,000,000 *1.5 = 4,500,000 users
300
What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
The difference in height is 130 m
300
What is the solution of the equation:
-3(2x-1)=-21
4
400
A Flagpole is 30 ft tall. Using the scale 3 in : 5 ft,
what is height of flagpole in the drawing?
Flagpole is 18 inches tall
400
Christian drives 96 miles in 1.5 hours. What is his speed in miles per hour?
What is 64 miles per 1 hour
400
Music Systems, Inc. allows a 10% discount if a purchase is paid for within 30 days. An additional 5% discount is given if the purchase is paid for within 15 days. Brent Goodson buys a sound system that originally cost $360. If he pays the entire amount at the time of purchase, how much does he pay for his system after the successive discounts?
360* (100%-10%) = 360 *90% = 360 *.9 =324
324 * (100%-5%) = 324 *95% = 324 *.95= 307.80
400
Some boats were traveling up and down a river. A satellite recorded the movements of several boats. A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go?
-2.55 miles
400
James has 80 dollars to spend at the Fair. Admission into the park is $20 and ticket to rides cost $3 each. How many ride tickets will James be able to purchase? Write and solve an equation.
3x+20 = 80
x = 20 tickets
500
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. Find the area of the actual park, in square yards.
What is 56,000 yards2?
500
Isabella is buying candy bars for her friends. The candy bars cost $1.05. She is buying them for 3 friends, costing her a total of $3.15. What is the constant of proportionality in this situation?
What is $1.05
500
What is the final cost of the book after the discount and tax?
book: $19.95
discount: 5%
sales tax: 5%
19.95 *(100%-5%) = 19.95 *95% = 19.95 *.95 = 18.96
18.96 * (100% + 5%)= 18.96 * 105% = 18.96 *1.05 = 19.91
$19.91
500
A bank charges a service fee of $7.50 per month for a checking account. A bank account has $85.00. If no money is deposited or withdrawn except the service charge, how many months until the account balance is negative?
12, because 85/7.5 is 11 and (1/3)
500
Solve the inequality. 11-4z<-1
z>3