Unit 1 & 2
1.1 Classifying Polynomials:
Name the polynomial by degree and number of terms.
8n2 - 9n
quadratic binomial
3.1 Transformations:
Identify the rule for rotating 90 degrees couterclockwise
(x, y) --> (-y, x)
5.4 Triangle Trigonometry:
In a right triangle, angle θ=30∘, and the length of the hypotenuse is 10 units. Find the length of the opposite side.
5
7.4 Density and Population Density:
The volume of a rectangular prism is 108cm3 and it weighs 42 grams. What is the density of the rectangular prism?
42/108 = 0.39 g/cm3
2.4 Identifying Quadrilaterals:
A quadrilateral that has 2 pairs of parallel sides
parallelogram
4.1 Dilations:
Determine the scale factor used.
A (-2,-2) --> A' (-6,-6)
3
6.8 Equations of a Circle:
Identify the center and radius of the circle given this equation.
(x - 5)2 + (y - 1)2 = 64
center: (5, 1)
radius: 8
8.5 Permutations and Combinations:
There are 12 math teachers. How many ways can 5 of those teachers be chosen to attend a math conference?
792
2.4 Identifying Quadrilaterals:
A parallelogram where opposite angles are equal and all sides are equal
rhombus
4.1 Dilations:
Dilate the coordinates using the scale factor 1/4.
A (16, 4)
(4, 1)
6.8 Equations of a Circle:
Write the circle equation given the center and radius.
center: (5, 3); radius: 2
(x - 5)2 + (y - 3)2 = 4
8.5 Permutations and Combinations:
There are 10 dogs in a dog show. How many ways can they be awarded 1st, 2nd, and 3rd place?
720
1.1 Classifying Polynomials:
Convert the polynomial to standard form.
-9a2 - 10 + 2a3 + 7a
2a3 - 9a2 + 7a - 10
3.1 Transformations:
Identify the rule for reflecting on the x-axis
(x,y) --> (x, -y)
5.4 Triangle Trigonometry:
In a right triangle, the length of the adjacent side is 7 units, and the length of the opposite side is 24 units. Find the angle θ using the tangent function.
74.05
7.4 Density and Population Density:
There are 987 deer living in a wooded area that is 316 square kilometers in size. What is the population density of deer per square kilometer?
987/316 = 3 deer/km2