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Pre-Algebra
Review Fundamentals of Algebra
Name ______________________________________________
1
Period ________
Read the instructions for each set of problems. Show all of your work and answers on
your own paper.
1.1 I can compare, order, and locate real numbers on a number line.
Rewrite each statement with <, >, or = to make a true statement.
#1
2
__ -1.5
3
#2
-75.56 __ -75.65
List the numbers in order from smallest to largest.
1
92
#4
-18,  18 ,  350 , 
#5
2
5
Plot the given numbers on a number line.
39
6
7, 
#6
, -1.234,  1
9
#7
7
, 12 , -0.75, -5
10
#3
89 , 
8 __ 2 2
25
, -14.2156, 10
3
Pre-Algebra
Review Fundamentals of Algebra
2
1.2 I can evaluate an expression using order of operations.
Simplify the following expressions.
#8
#9
7  2(15  6)
#11
#14
 36  60

 18
12
17  47  8
(2) 4

18  2  3  5 3
#10
5 4 3  2(9  6)
#12
(11  4)  (5  12)
2
#13
1
(8) 2
4
#15
 3  4 306  81

Pre-Algebra
Review Fundamentals of Algebra
3
Insert parenthesis to make each statement true. Verify your answer.
#16 18  30  2  24
#17 108  17  2  3  23
1.3 I can evaluate algebraic expressions.
Evaluate each expression for the given variable values.
#18 100  2d 2  9
#20
for d = 6
(x  0.3) 2  0.72 for x = -0.4
#19
#21
8b  1
7  2a
for b = -4 and a = -2
2(a 2  b )  3c  5ab
for a = 2, b = 3, and c = -5
Pre-Algebra
Review Fundamentals of Algebra
4
1.4 I can evaluate expressions involving absolute value.
Simplify the following expressions.
#22  3 2  8
#23
 12  3  48  2
#24
 2  10  3
#27
(3 15) 2
#30
396
1.5 I can simplify radical expressions.
Simplify the following radical expressions.
300
54  6
#25
#26
#28
28  48
#29
8  75
Pre-Algebra
Review Fundamentals of Algebra
5
Number line:
Order of Operations:
P
E
M
D
A
S
parenthesis and other grouping symbols
exponents
multiplication
Multiply and divide from left to right.
division
addition
Add and subtract from left to right.
subtraction
Some perfect squares:
4
9
16
25
36
49
64
81
100 121 144 169 196 225