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Algebra 1A
Unit 1: Evaluation Notes
Name:
Date:
Period:
Assignment Sheet
1) Page 28 #56 -64
2) Page 35 #1 – 12
3) Pages 35 – 36 #13 – 47 odd
4) Pages 35 -36 # 12 – 48 even
5) Page 8 #50 – 68
6) Pages 12 – 13 #17 – 58 column
7) Pages 12 – 13 #19 – 60 column
8) Page 67 #1 – 15
9) Pages 67 – 68 #18 – 60 even
10) Pages 67 – 68 #17 - 61 odd
11) Page 75 #12 – 42 even
12) Page 75 #13 – 41 odd
13) Pages 19 – 20 #14 – 42 even
14) Pages 19 – 20 #13 – 41 odd
15) Page 22 #58 – 72 even
16) Page 22 #59 – 71 odd
17) Page 22 #1 – 26
18) Pages 38 #67 – 78; skip 73
19) Page 39 #1 – 13
20) Page 70 #88 – 102
21) Page 76 #43 -50
22) Page 85 #1 – 20
23) Page 95 #94 – 113
24) Page 113 #75 – 100
25) Chapter Review
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#
Algebra 1A
Unit 1: Evaluation Notes
Name:
Date:
Period:
Definitions:
_______________________:
Two real numbers that are the same distance from the origin of the real number line are opposites
of each other.
Examples of opposites:
2 and -2
-100 and 100
- √15 and √15
Reciprocals:
Two numbers whose product is _________
Examples of Reciprocals:
1
and 5
5
are reciprocals of each other.
1
5
4
-3 and − 3
4
and 5
Absolute Value:
The absolute value of a number is its __________________________ from 0 on the number line. The
absolute value of x is written |𝑥|.
Examples of absolute value:
3
3
|−5| = 5
and
| |=
7
Examples-Definitions:
2
7
E1. What is the opposite of − ?
2
E2. What is the reciprocal of − 7?
2
E3. What is |− 7|?
2
E4. What is the opposite reciprocal of − 7?
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7
Properties:
__________________________Property of Addition:
a+b=b+a
When adding two numbers, the order of the numbers does not matter.
Examples of the Commutative Property of Addition
2+3=3+2
and
(-5) + 4 = 4 + (-5)
Commutative Property of _________________________:
ab=ba
When multiplying two numbers, the order of the numbers does not matter.
Examples of the Commutative Property of Multiplication
23=32
and
(-3)  24 = 24  (-3)
Associative Property of _______________________:
a + (b + c) = (a + b) + c
When three numbers are added, it makes no difference which two numbers are added first.
Examples of the Associative Property of Addition
2 + (3 + 5) = (2 + 3) + 5
and
(4 + 2) + 6 = 4 + (2 + 6)
_______________________ Property of Multiplication:
𝑎 × (𝑏 × 𝑐) = (𝑎 × 𝑏) × 𝑐
When three numbers are multiplied, it makes no difference which two numbers are multiplied first.
Examples of the Associative Property of Multiplication
2  (3  5) = (2  3)  5
and
(4  2)  6 = 4  (2  6)
Identity Property of _____________________ (aka _____________________ Identity Property):
a+0=a
The additive identity property states that if 0 is added to a number, the result is that number.
Example
3+0=3
_____________________ Property of Multiplication (aka Multiplicative Identity Property):
a×1=a
The multiplicative identity property states that if a number is multiplied by 1, the result is that
number.
Example
51=5
Additive _________________________ Property:
a + -a = 0
The additive inverse property states that opposites add to zero.
Example
7 + (-7) = 0 and -4 + 4 = 0
_______________________________ Inverse Property:
1
a×𝑎=1
The multiplicative inverse property states that reciprocals multiply to 1.
Example
1
2
3
5×5=1
and
× 2=1
3
____________________________ Property of Multiplication:
𝑎×0=0
The Zero Property of Multiplication states that if a number is multiplied by 0, the result is always 0.
Example
17  0 = 0
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Examples-Properties:
Identify the property that supports the following statements.
E1. 4  (8  2) = (4  8)  2
E2. 6 + 8 = 8 + 6
E3. 12 + 0 = 12
E4. 5 + (2 + 8) = (5 + 2) + 8
E5.
5
9
9
×5 = 1
E6. 5  24 = 24  5
E7. 18 + -18 = 0
E8. -34  1 = -34
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Order of Operations:
P E MD AS
Step 1: Parenthesis
Evaluate all parenthesis until there is only a single number left
Step 2: Exponents
Evaluate all exponents
Step 3: Multiplication and Division
Evaluate all multiplication and division from ______________________ to ________________________
Step 4: Addition and Subtraction
Evaluate all addition and subtraction from left to right
Error Alert: many students will attempt to evaluate multiplication before division. Multiplication
and Division are one step and NEED to be evaluated as they appear from left to right.
Example:
Simplify:
8
× (3 × 6) × 3
5−1
8
× (18) × 3
4
2 × 18 × 3
108
Example:
Evaluate:
𝑝𝑛 + (𝑛 + 𝑚)2 ; 𝑢𝑠𝑒 𝑚 = 1, 𝑛 = 4 𝑎𝑛𝑑 𝑝 = 6
6(4) + (4 + 1)2
6(4) + (5)2
6(4) + 25
24 + 25
49
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Examples-Order of Operations:
E1:
Simplify
(8 + 5) ×
E2:
Simplify
20 ÷ (4 − (10 − 8))
E3:
Simplify
35
5
+6
45
8(5−4)−3
E4:
Evaluate
(𝑎2 − 𝑏) ÷ 6; 𝑢𝑠𝑒 𝑎 = 5 𝑎𝑛𝑑 𝑏 = 1
E5:
Evaluate
𝑐×
E6:
Evaluate
𝑦 − (𝑧 + 𝑧 2 ); 𝑢𝑠𝑒 𝑦 = 10 𝑎𝑛𝑑 𝑧 = 2
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𝑏𝑐
4
− (7 − 𝑎); 𝑢𝑠𝑒 𝑎 = 4, 𝑏 = 8 𝑎𝑛𝑑 𝑐 = 5
Warm-ups
Use the provided spaces to complete any warm-up problem or activity
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Warm-ups
Use the provided spaces to complete any warm-up problem or activity
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