Lucca Unit 2
What is the constant of proportionality?
It is a constant proportion that relates proportional quantities.
What is interest rate?
It is the percent used to calculate interest.
What is an additive inverse?
A pair of numbers that have a sum of zero.
What is translation.
A transformation that slides a figure a given distance in a given direction.
What is a term does not contain a variable?
A constant.
Is this proportional?
------------------------------------------------
Yes
Calculate the percent.
21 out of 30
70%
-54/-9
6
The vertices of triangle ABC are (1, 5), (1, 1), (4, 1). The triangle will be reflected across the x-axis. Where will it be after the reflection?
(1, -5), (1, -1), (4, -1)
Write the expression in factored form.
15a + 10n
5(3a + 2n)
Is this table proportional?
3-2
12-8
18-12
Yes, they all equal 3/2
Calculate the percent.
90 out of 200
45%
0.6-(-2.1)
2.7
The vertices for triangle ABC are (-4, 2), (2, 6), (6, 2). The triangle will be dilated by a scale factor of 1/2. The center of the dilation is the origin. Where will the triangle be located on the coordinate plane?
(-2, 1), (1, 3), (3, 1)
Write the expression in factored form.
4a + 12b
4(a + 3b)
Is this proportional?
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
No
Calculate the percent.
32 out of 41
78%
5(-13)
-65
Which transformation results in the image being similar to the preimage.
Dilation
Write the expression in factored form.
16x - 8y
8(2x - y)
A fruit basket has 9 apples and 3 pears. How many apples are in the basket for each pear?
3 apples
Kiara opens a savings account with $500. The savings account has an annual interest rate of 2%. What will be in her savings account at the end of the year?
$510
Nile crocodiles dig the deepest dens of any animal. The entrance of the crocodile den is three feet below ground and it extends another 27.5 feet underground. How deep is the crocodile den?
-30.5
The vertices for trapezoid KLMN are (1,-1), (1,1), (5,2), (5,-1). The trapezoid will be translated 5 units to the left and 3 units up. Where will the trapezoid be once translated.
(-4, 2), (-4, 4), (0, 5), (0, 2)
A research chemist is making mixtures of compounds A and B. The capacities of the mixtures are represented by the expressions (5a + 7b), (9a + b), and (2a + 6b). What is the total capacity of the mixtures that she makes? Write the expression in simplest form.
2(8a +7b)