Algebra 2 with Trig
Chapter 1 Review Material
Name____________________________
Mrs. McConnell
The material in Chapters 1-3 that you were taught in Algebra 1 will be gone over quickly in this class. Here are
some problems that you can do to prepare yourself for the Chapter 1 Quiz (time limit: 45 minutes). Solutions
will be posted on Vision. There will be about 20-25 minutes for questions on the day of the quiz. If that is not
enough time for you, please see me before school. These are non-calculator problems.
1.1
Sets of Numbers
To what specific set of numbers do the following numbers belong?
1.  7.4 ________________________
2.
3. 0 ___________________________
4. 8.717171... _______________________
5.  8 ________________________
6.
7. 2.989889888... __________________
8. 2 _____________________________
72
___________________________
12
9.
49 _________________________
11.
10.
25 ____________________________
8
______________________________
12
81
__________________________
100
12. 6  5i ___________________________
13. 7  0i ________________________
14. Give an example of a number that is an integer, but is not a natural number._______________
1.2
Order of Operations and Properties
Order of Operations: Evaluate each expression. Please leave answers in fraction form.
1. (7  5 y )  (2 x) when x 
3. 6  5[2 2  4(3)]
1
and y  3
6
2. 2a 3  (2a) 2 when a  3
1  3 5  5
4. 5      
2  5 6  8
2
3
5. 3  4    2  8  
4

6.  x 2 when x = 4
7. ( x) 2 when x = 4
8.  x 2 when x = -4
9. ( x) 2 when x = -4
10.  ( x) 2 when x = -4
11.  ( x) 2 when x = 4
12.  x 3 when x = 4
13.  x 3 when x = -4
#14-15 Add parentheses to make a true statement.
14. 9  12  3  1  15
15. 8  5 2  6  3  9
PROPERTIES
Name the property that illustrates each statement.
____________________________________1. If 4  3 x  8, then 3x  8  4.
____________________________________2. 4  1  4
____________________________________3. 3(bc)  (3b)c
____________________________________4. t 1  t
____________________________________5. 3x 2 yz  3x 2 yz
____________________________________6. 5( x  8)  5(8  x)
____________________________________7. 11  11  0
____________________________________8. 7 
1
1
7
____________________________________9. (r  6)  4  r  (6  4)
____________________________________10. 3x  4  3x  4
____________________________________11. 4 x  7 y  7 y  4 x
____________________________________12. xyz  1xyz
____________________________________13. If 3  7  10 and 10  6  4, then 3  7  6  4.
____________________________________14.  8  8  0
____________________________________15. ab  ba
1.3
Solving Equations
Solve each equation. Leave answers in fraction form.
3
3
y2
8
4
1. 13  8  6r
2.
4. 6x  5  7  9x
5. 5(6  4 y )  y  21
1.4
3.
3 1
4
 n
4 2
5
6. 4(6 y  5)  23  3(8 y  1)
Solving for a variable.
Solve each of the following for the indicated variable. (Pay close attention to the starred problems.)
1. Solve for m : 4 x  7  2m  5
*2. Solve for b :
2 1
 5
a b
3. Solve for h : V 
r 2 h
5. Solve for b1 : A 
*4. Solve for a : 2ab  a  4
3
1
(b1  b2 )h
2
*6. Solve for x : 3 x  2 xy  8
7. Solve #6 for y.
1.6 Solving and Graphing Inequalities
Graph the solution set of each of the following inequalities.
1. 3x  1  2x  2
4. 3 
1
x 1  5
2
2.  4  2  x  10
3. x  4  2 or x  4  12
5. x  3  1 or x  2  4
6. 4 x  10  10 and 6 x  4  22