Scale Drawings
What is a scaled copy?
A copy of a shape where all the side lengths are multiplied by the same number.
What is the reciprocal of a number? e.g. The reciprocal of 5/6
The altered version of the number with the numerator and denominator flipped. The reciprocal of 5/6 is 6/5.
What are the radius and diameter of a circle?
The radius is the distance from the middle to the edge of the circle. The diameter is the total length from one side to the opposite side.
What percentage of 20 is 15?
75%
What is -5 * 4?
-20
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Andy ran 2 1/2 miles. How many feet is that?
13,200 feet
The number one set of values is multiplied by to get another set of values. e.g. x is multiplied by k to get to y.
Would the distance around a Ferris Wheel be circumference or area? What about the amount of paint needed to paint a bullseye?
1. Circumference
2. Area
What number is 25% of 212?
53
b + 14.5 = 10
What is the value of b?
b = -4.5
6 loaves
Is y = 5x + 2 a proportional relationship?
No, a proportional relationship has to be y = kx, without anything being added/subtracted.
What is the circumference of a circle? Bonus 100 points if you can give the formula too.
The circumference is the distance around the outside of the circle. C = 2*(pi)*r
A practice field is 250 feet long. The game field is 40% longer than the practice field. How long is the game field?
250 * 1.40 = 350 feet long
Calculate the value of the expression.
2.3 + (-4.9)
-2.6
If a rectangle has side lengths r and s, what would be the expressions to find the perimeter and area of the figure?
2r + 2s and r * s
A recipe for a smoothie calls for 5 cups of strawberries for every 2 cups of bananas. What is the constant of proportionality, or unit rate of cups of strawberries per cups of bananas?
2.5 cups of strawberries per 1 cup of bananas
What is the area of a circle that has a radius of 2?
A = 12.56 units squared
Todd has a coupon for 30% off at his favorite clothing store. He uses it to buy a pair of jeans. He paid $28 for the jeans after using the coupon. What is the regular price of the coat?
$40.00
A scuba diver is driving at a constant rate when her team on the surface requests a status update. She looks at her watch which says her elevation is 18 feet below sea level. 8 seconds later, her elevation is 20 feet below sea level. At what rate is her elevation changing?
-2 feet in 8 seconds, so -1/4 feet per second
Quadrilateral A has side lengths 2, 3, 5 and 6. Quadrilateral B has side lengths 4, 5, 8 and 10. Could one of the quadrilaterals be a scaled copy of the other? Explain.
No, because each side needs to be multiplied by the same number to get the new side length. The smallest sides would be corresponding, so 2 * 2 = 4, so the scale factor must be 2. 3 * 2 = 6, and there is no side length 6 on the new quadrilateral.
Kiran walked at a constant speed. He walked 1 mile in 15 minutes. What would be equation to represent the distance d (in miles) that Kiran walks in t minutes?
d = 15t
What is the circumference and area of a circle with a radius of 3 cm?
C = 18.84 cm
A = 28.26 cm squared
A graduated cylinder actually contains 7.5 milliliters of water. When Han measures the volume of the water inside the graduated cylinder, his measurement is 7 milliliters. Which of these is closest to the percent error for Han's measurement?
7.5 - 7 = 0.5
0.5 / 7.5 = 0.067
6.7%
If x = 8 and y = -17, which of these expressions would be positive?
1. x * y
2. x - y
3. x + y
Only #2