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Chapter 1 Summative Assessment Review
Evaluate the numerical expressions using the Order of Operations.
(PEMDAS)
Example:
5 · 2 + 42
5 · 2 + 16 (Exponent)
10 + 16 (Multiplication left to right)
26 (addition)
Practice:
10 · 80 - 53
6 × 2 + 18 ÷ 6
Evaluate the algebraic expression.
Example:
b2 + 4 if b = 2.
22 + 4 (substitute the value for the variable)
4 + 4 (Evaluate using the Order of Operations, Exponents)
8 (addition)
Practice
x + 5y if x = 12 and y = 9
x + y ÷ 2 if x = 12 and y = 8
Solve the algebraic equation.
Example:
9 + y = 11
y = 2 (I know that 9 + 2 = 11)
Practice:
m - 5 = 12
22s = 66
Convert the Units.
Example:
52,000 mL = 52 L
- Divide to get from smaller unit to bigger unit
- 1,000 mL = 1 L
- Divide 52,000 by 1,000
Practice:
2.2 g = ______mg
630 mL = ______L
Geometric and Arithmetic Sequence
Geometric Sequence– multiply the previous term by the same number
Arithmetic Sequence – add the same number to each previous term
Describe the sequence and find the next 3 terms:
1, 5, 9, 13, 17 …
b) 8, 9, 11, 14…
Exponents
Exponential Form: 45
Product of the same factor: 4· 4· 4· 4· 4
Evaluate: 1,024
Practice:
23
71
33
Properties of Multiplication and Addition
Commutative Property of
Addition: 4 + 6 = 6 + 4
Multiplication: 9 · 3 = 3 · 9
Associative Property of
Addition: (9 + 4) + 6 = 9 + (4+ 6)
Multiplication: (8 · 9) · 4 = 8 · (9 · 4)
Distributive Property: 6(2 + 3) = 6(2) + 6(3)
Identify Property of
Addition: 9 + 0 = 9
Multiplication: 7 · 1 = 7
Zero Property of Multiplication: 7 · 0 = 0
Practice:
Use distributive property to write an equivalent expression:
7 · (3 + 4)
Rewrite 5 + (6 + 7) using the Associative Property. (2 pts)
Use the associative property to solve (9 · 2) · 50 using mental math.
(2 pts)
Scientific Notation
The product of a number and a power of ten
Example:
Scientific Notation: 6.2 × 105
Standard Form: 620,000
Practice:
5.7 × 105
7.567 × 106
7,890,000
22,540,000