Download CHAPTER 2 REAL NUMBERS

Algebra
UNIT 1
REAL NUMBERS
UNIT 1 REAL NUMBERS TEST STUDY GUIDE
2-1
2-7
RATIONAL NUMBERS ON THE NUMBER LINE
SQUARE ROOTS AND REAL NUMBERS
SKILLS:
1)
2)
3)
4)
5)
6)
2-2
2-3
2-4
ADDING AND SUBTRACTING RATIONAL NUMBERS
MULTIPLYING RATIONAL NUMBERS
DIVIDING RATIONAL NUMBERS
SKILLS:
1)
2)
3)
4)
5)
6)
11-1
SIMPLIFYING RADICAL EXPRESSIONS
SKILLS:
1)
2)
Evaluate absolute value.
Evaluate square roots.
Compare numbers using >, <, or =.
Classify numbers.
Plot numbers on a number line.
Write a set of numbers given the graph of a number line.
Add signed numbers.
Subtract signed numbers.
Explain the rules for adding and subtracting signed numbers.
Multiply signed numbers.
Divide signed numbers.
Explain the rules for multiplying and dividing signed numbers.
Simplify square roots of products.
Simplify square roots with coefficients.
MCD/LPG/MPH 9/12
1
Algebra
PART I – NO CALCULATOR
Evaluate each of the following without using a calculator.
1)
78
2)
- 43
3)
0
4)
64
5)
-
25
81
6)
± 121
7)
-8 + -3
8)
-16 + 7
9)
5 + -9
10) -2 – 5
11) 11 - -8
12) 6 – 13
13) -5 – 5
14) (9) (0)
15) (7) (-2)
16) (-3) (-5)
17) (-4) (11)
18) -6 ÷ 2
19) -27 ÷ -3
20) 24 ÷ -12
21) (-4) (2) (-5) (1)
22) -3 + 5 + -7 + -2
23) 4 - -9 – 8 – 7
24) (-3) (2) (-1)
25)
2 -1
+
3 4
26)
-7 -2
+
9
3
27)
8 4
15 5
28)
-6 -14
·
35 9
29)
-2 8
¸
5
15
30)
- 9 - 15
¸
22
44
MCD/LPG/MPH 9/12
2
Algebra
PART II – WITH CALCULATOR
1)
Complete the diagram.
Integers
Irrational
Natural
Rational
Real
Whole
2)
Classify each of the following numbers using all the words that apply: natural, whole,
integer, rational, irrational, real. Check all the boxes that apply.
NATURAL
WHOLE
INTEGER
RATIONAL
IRRATIONAL
REAL
-15
23
16
8
-5
6
0
36
49
11
3)
Complete each of the following statements with >, <, or =.
a)
2.34
MCD/LPG/MPH 9/12
8
3
b)
-3
5
-6
7
3
Algebra
4)
Approximate each of the following using your calculator. Round to thousandths.
a)
5)
11
b)
- 17
c)
4
± 9.23
Name the set of numbers represented by each number line.
a)
–4
–3
–2
–1
0
1
4
3
2
b)
–2
6)
–3/2
–1
–1/2
0
1/2
2
3/2
1
List the following numbers in order from least to greatest and graph the set of
numbers on a number line.
-3
–4
–3
11
–2
16
8
–1
0
-5
6
-17
0
1
2
9
3
4
List: _________________________________________________
MCD/LPG/MPH 9/12
4
Algebra
7)
Simplify each of the following square roots. Answers should be exact.
a)
24
b)
75
c)
242
d)
7 12
e)
-5 98
f)
6 81
g)
9 150
h)
3 192
MCD/LPG/MPH 9/12
5