ALGEBRA 1E
UNIT 1
1-1
1-2
Sets/Union/Intersection
*WS 1 – 1/ 1 – 15
100/ 20, 22
Domain/Range of Sets
*WS 1 – 1/ 16 – 19
*WS 1 – 2/ ALL
1-3
Solving Multistep Equations with Algebra Proof
*20/ 38 - 46
*94/ 30, 33, 34 Solve in Proof Form
1-4
Solving Linear Inequalities/Interval Notation
*300/ 12, 17 Solve in Proof Form
*300/ 31, 32
94/ 32, 35 Solve in Proof Form
1-5
Solving Literal Equations with proof
* 129/ 8, 9, 13, 22 Solve in Proof Form
301/ 14, 15 Solve in Proof Form
1-6
Solving Verbal Problems about Numbers (Consecutive Integers)
*94/ 24, 26, 28, 51a
94/ 36 Solve in Proof Form
301/ 19 Solve in Proof Form
1-7
Review/Performance Task
Review Assignment due on the day of the Unit 1 Test
1-8
Test/Cumulative Review
DUE DATES
ALGEBRA 1E
WORKSHEET 1-1
Questions 1-5:
1.
2.
3.
4.
5.
NAME: _____________________________
State whether the given statement is TRUE or FALSE. If the statement is false, provide
an example to show that it is false (this is called a counterexample).
All natural numbers are whole numbers.
All whole numbers are natural numbers
Irrational numbers are always real numbers.
All real numbers are rational.
Some irrational numbers are integers.
Questions 6-11:
State whether the given statement is TRUE or FALSE. If the statement is false,
provide a counterexample to prove your assertion.
6.
7.
8.
9.
10.
11.
The set of odd numbers is closed with respect to addition.
The set of integers is closed with respect to multiplication.
The set of whole numbers is closed with respect to subtraction.
The set of real numbers is closed with respect to division.
The set {1, 2, 3} is closed with respect to multiplication.
The set {0, 1} is closed with respect to addition.
12.
Each of the 12 numbers on the number line below is a subset of one or more of the following
sets:
N = Natural Numbers
Q = Rational Numbers
W = Whole Numbers
Q = Irrational Numbers
Z = Integers
R = Real Numbers
Write the symbol(s) of every set below each number for which each number is a subset.
2.7 2  3
1
0.63
0
1
3
13.
If U  1, 2,3, 4,5,6,7 and A  2, 4,7 , find A.
14.
If A  1, 2,8,10 and B  4,9 , find
(a) A B
(b) A B
15.
If A  2, 4,6,8 and B  3, 4,5,6 , find
(a) A B
(b) A B
0.5 1

2
2
6
16.
If function f define to be f 
 0,1 , 1,6 ,  2,11,
(a) State the domain of function f.
(b) State the range of function f.
17.
If function g define to be g 
 2,1 ,  4,1 ,  6,1,
(a) State the domain of function f.
(b) State the range of function f.
18.
A function, S  n  , is used to model the rate at which students proceed through the lunch line
of a high school cafeteria where n represents the number of student in line at specific times.
Which of the following would be the most appropriate domain for the function?
19.
(1)
10, 7, 18,14, 27
(3)
(2)
5,12,18, 20, 27
(4)
0,


1
3
,1, , 2
2
2
2, 3, 5, 7, 8

Which of the following numbers is classified as imaginary? Justify your response.
(1)  17
(2)
4
9
(3)
4
(4) 5.323323332...
ALGEBRA 1E
NAME: _____________________________
WORKSHEET 1-2
1. State the domain and range of the following relation. Is the relation a
function? Why or Why not?
{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}
2. State the domain and range of the following relation. Is the relation a
function?
{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}
3. State the domain and range of the following relation. Is the relation a
function?
{1, 4, 8, 9, 10}
4. State the domain and range of the following relation. Is the relation a
function?
{(1, 2), (2, 4), (3, 1), (4, 9)},
5. State the domain and range of the following relation. Is the relation a
function?
{( 3,7 ), ( 1,1 ), ( 6, 5), (2, 4)}
ALGEBRA 1E
NAME: ____________________________
REVIEW TEST 1
Show all necessary work on a separate sheet
1.
Express the graph below as an inequality. Use the letter x as your variable. _________________
2.
3
Solve each equation for the indicated variable.
(a) bx  a for x
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
(b) A 
1
2
bh for h
(c) ax + by = c for y
Solve with proof and check each equation.
(a) x  4  16  3 x
(b) 3( y  5)  1  10  2( y  8)
Solve with proof and, graph and check the inequality
(a) 2(2b  4)  2(b  1)  0
Given: 4( x  9)  2( x  7)  6
Prove: x  22
1
Solve using proof: A   r  t  d for d
2
Solve algebraically. *Be sure to include all steps for solving word problems*
a) Find three consecutive even integers such that have a sum of 48
b) Find three consecutive integers such that the sum of the first two integers is 24 more
than the third integer.
c) If 6 less that a number is multiplied by 5, the result is 40. Find the number
Write a simple equation that represents when you would need to use:
a. Addition Property of Equality
b. Subtraction Property of Equality
c. Multiplication Property of Equality
d. Division Property of Equality
e. Substitution
f. Distributive Property
Let A  {1,3,5, 7,9} , B  {2, 4, 6,8,10} and C  {3, 7,9} find:
[3 each]
a. A  B
b. B  C
If U  {1, 0,1, 2,3, 4,5} , A  {1, 2} , and B  {1,3,5} determine
[3 each]
a. A
b. A  B
Given the relation H = {(1, 3), (0, 5), (3, 5), (–1, 3)}; Determine:
a) whether H is a function and why
b) the domain of H
c)the range of H:
Write the symbol for each set of numbers.
__________
Natural Numbers
__________
__________
Real Numbers
__________
__________
Whole Numbers
__________
__________
Rational Numbers
[3 each]
Integers
Irrational Numbers
Empty Set