Download Appendix A CLosure (Review) and Answers

Advanced Algebra 2 – Appendix A Review (Closure)
CL A-119. Determine if the following sequences are arithmetic, geometric, or neither:
a) −7, −3, 1, 5, 9, ... b) −64, −16, −4, −1, ... c) 1, 0, 1, 4, 9, ...
d) 0, 2, 4, ...
CL A-120.
a)
Find an equation to represent each table as a sequence.
b)
Solve the following systems algebraically.
a)
b)
c)
x + 2y = 17
4x + 5y = 11
4x − 3y = −10
1
x−y=2
2x + 6y = 16
x= y−1
CL A-121.
d)
2x + y = −2x + 5
3x + 2y = 2x + 3y
4
CL A-122.
Solve each equation after first rewriting it in a simpler equivalent form.
a) 3(2x − 1) + 12 = 4x – 3
CL A-123.
b)
3x 2
+ =2
7 7
c)
x-3 3
=
x
5
d) 4x(x − 2)= (2x + 1)(2x − 3)
Simplify each expression.
a) (−3x)2
b) (3x)−2
c)
2(3x)2
(3x)3
d)
2(3x)2
(3x)-2
Create multiple representations of each line described below.
a) A line with slope 4 and y-intercept −6.
CL A-124.
b) A line with slope
3
that passes through the point (5, 7).
2
Create an explicit equation for each recursively-defined sequence below.
a) a1 = 17, an+1 = an – 7
b) t(1)= 3, t(n + 1) = 5 · t(n)
CL A-125.
Use a graph to describe the domain and range of each function or sequence below.
a) The function f(x) = (x − 2)2
b) The sequence t(n) = 3n − 5.
CL A-126.
When a family with two adults and three children bought tickets for an amusement park,
they paid a total of $56.50. The next family in line, with four children and one adult, paid
$49.50. Find the adult and child ticket prices by writing and solving a system of equations.
CL A-127.
Check your answers using the table at the end of this section. Which problems do you
feel confident about? Which problems were hard? Have you worked on problems like these in
previous math classes? Use the table to make a list of topics you need to learn more about, and a
list of topics you just need to practice more.
CL A-128.
Answers and Support for Appendix A Closure
MN = Math Note, LL = Learning Log
Problem Solution
CL A119.
a. arithmetic
b. geometric
c. neither
d. arithmetic
Need Help?
More Practice
Section A.2
Problems A-42, A-44, A50, A-87, and A-114
MN: A.3.2
CL A120.
a. t(n) = −3n + 7
b. t(n) = 5(1.2)n or t(n) = 6(1.2)n-
Lessons A.2.2 and A.3.2
Problems A-37, A-64, A68, A-83, A-87, and A-99
CL A121.
a. (7, 5)
b. (−1, 3)
Explanations and practice of
topics from previous courses
are available in the Core
Connections Algebra Parent
Guide with Extra
Practice,available free
atwww.cpm.org.
Problems A-7, A-22, A36,A-54, A-70, and A-88
1
c. (− , 3)
d. (1, 1)
CL A122.
a. −6
b. 4
c. 7.5
Topic from previous course
Problems 1-40, 1-52, A15,A-87, and A-105
Topic from previous course
Problems A-9, A-10, A13,A-24, A-56, and A-102
Topic from previous course
Problems A-11, A-16, A37, A-46, and A-92
d.
CL A123.
a. 9x2
b.
c.
d. 162x4
CL A124.
a. y = 4x − 6
b. y =
x−
CL A125.
b. t(n) = 24 −7n
Lesson A.2.3
c. t(n) =
CL A126.
CL A127.
(5)n
Problems A-71, A-78, A83, A-89, and A-104
MN: A.3.2
Problems A-25 and A-118
a. Domain: all real numbers
Range: y 0b. 15 t-shirts, 3
sweatshirts
b. Domain: all positive integers;
Range: all numbers of the form 3n −
5
2a + 3c = 56.5, a + 4c = 49.5
adults cost $15.50, children cost
$8.50
Lesson A.3.3
LL: A.3.3
Problems A-71 and A-81