Unit 1 - Scale Drawings
Figure B has side lengths of 4, 8, and 16.
Are they scaled copies? Yes or No
Yes
3 apples cost $2.
6 apples cost $4.
Is this is a proportional relationship? Yes or no
Yes
What is the length across half of the circle called?
Radius
Elena runs 5 miles in 4/5 of an hour. What is the constant of proportionality? (miles per hour)
6.25 mph
What is 1/3 - (-1/3)?
2/3 or 0.6 repeating
Figure A has a side length of 2 and 4.
Figure B has a side length of 3 and 6.
What is the scale factor?
1.5
A bundle of 3 bananas costs $0.75.
A bundle of 6 bananas cost $1.50.
What does one banana cost?
$0.25
What is the length around the entire circle called?
Circumference
A car is 150 inches long. A truck is 25% longer. How long is the truck?
187.5 inches
Solve for x:
13 - x = 15
-2
A rectangle has a side that is 8 inches. The scale factor is 1/3. How long is the side length of the scaled copy?
2.67 inches
Here is a chart with how long it takes for a tank to fill:
5 gallons - 3 minutes
9 gallons - 5.4 minutes
13 gallons - 7.8 minutes
What is the constant of proportionality?
0.6
What is the circumference if the circle has a diameter of 10in? Round to 2 decimals.
31.42in
A shirt is 15% off today. The original price is $28. What is the sale price?
$23.80
A bank account is at $12 on Monday. On Tuesday, it is at (-$54). How much did they take out of their bank account?
-$66
A scale drawing of a park is 5in by 7in. The actual park is 210 yards long. What is the area of the actual park?
31,500 yards
If 5 apples weigh 0.6 kg, how much do 2 apples weigh?
0.24kg
What is the area of a circle if the radius is 3cm? Round to 2 decimal points.
28.27cm
Bill measured a pencil to be 22 cm. The pencil is actually 25cm. What is the percent error?
12%
Solve:
(-3) x (4/5)
(-12/5) or (-2.4)
In Map 1, the scale is 1mi to 2cm. The distance from Newport to Bangor is 56cm on the map.
In Map 2, the scale is 1mi to 5cm. What is the distance in cm from Newport to Bangor on Map 2?
140cm
Bill rode his bike at a constant speed. In 5 minutes he rode 1 mile. Write an equation using the constant of proportionality (x = minutes, y=miles).
y = 1/5x
What is the area and circumference of a circle if the radius is 4cm? Round both to 2 decimal points.
Area = 50.27cm
Circumference = 25.13cm
A bill for dinner comes to $45. They have a 10% off coupon. After the coupon, they have to pay 4.5% in sales tax. How much does the meal cost after the discount and tax?
$42.32
Solve for a:
-1/3a=33
a = -99