1. The Language and Tools of Algebra
Chapter 1
The Language and Tools of Algebra

2. Frayer Foldable- fold the paper in half both width and length wise
Frayer Foldable- fold the paper in half both width and length wise. While folded into fours, fold down the corner that has all creases. Open the paper and it should look like shown:

3. 1.1 Variables and Expressions
Addition
Plus
Increased by
More than
Sum of
Subtraction
Minus
Decreased by
Less than
Fewer than
Difference of

4. 1.1 Variables and Expressions
Multiplication
Multiplied by
Times
Product of
# of # (usually fractions)
Twice, etc.
Exponents
To the power
Squared, cubed, etc
Division
Divided by
Quotient of
Into

5. 1.1 Variables and Expressions
Write an algebraic expression for each verbal expression
13 less than a number
9 more than the quotient of b and 5
Write a verbal expression for each algebraic expression .

6. 1.1 Variables and Expressions
Evaluate each expression .

7. 1.2 Order of Operations P E M D A S Please Excuse My Dear Aunt Sally=
Parentheses Exponents Multiplication/Division Addition/Subtraction
Evaluate all expressions inside grouping symbols
Evaluate all the powers
Multiply and/or divide in order from left to right
Add and/or subtract in order from left to right

8. 1.2 Order of Operations
Evaluate:

9. 1.2 Order of Operations
Evaluate:

10. 1.2 Order of Operations
Evaluate:

11. 1.3 Open Sentences
Set up a chart/table with the replacement set and equation
Fill in the chart to find which elements of the replacement set are solutions
List the solution set

12. Find the solution set for 28=4(1+3d) if the replacement set is d={0, 1, 2, 3}
True or False 1 2 3
False
28=4(1+3(0)) 28=4(1) 28=4

13. 1.3 Open Sentences
Use the order of operations to solve the equation

14. 1.3 Open Sentences An open sentence with <, >, is an inequality
Solve for the solution set the same way as a regular open sentence equation

15. Find the solution set for 19>2y-5 if the replacement set is n={5, 6, 7, 8, 9}
True or False 5 6 7 8 9

16. 1. 4 Identity and Equality Properties 1. 5 Distributive Property 1
1.4 Identity and Equality Properties 1.5 Distributive Property 1.6 Commutative and Associative Properties
See text for properties and examples and also use property chart from in class
Property chart

17. 1.8 Number Systems Positive Numbers: listed to the right of zero
Negative Numbers: listed to the left of zero
Natural Numbers: 1, 2, 3, …
Whole Numbers: 0, 1, 2, 3, …
Includes natural numbers and zero
Integers: -3, -2, -1, 0, 1, 2, 3, …
Includes natural, whole, and negative numbers
Rational Numbers: any numbers that can be written as a fraction
Includes natural, whole, and negative numbers, and integers

18. 1.8 Number Systems
Square root: one of two equal factors of a number (what times itself equals the number?)
Irrational Numbers: numbers that cannot be written as terminating decimals or as a fraction
Real Numbers: all rational and irrational numbers

19. 1.9 Functions and Graphs
Frayer Foldable- fold the paper in half both width and length wise. While folded into fours, fold down the corner that has all creases. Open the paper and it should look like shown:

20. 1.9 Functions and Graphs Function
A relationship between input and output- the output depends on the input
A function is graphed using a coordinate system, formed by two intersecting number lines
x-axis: horizontal line/axis
y-axis: vertical line/axis
origin: (0, 0) where the axes intersect
(x, y): ordered pair

21. 1.9 Functions and Graphs
Independent variable: the variable in a function that is subject to choice (changes on its own)
Such as- years, days, hours, etc.
Dependent variable: the variable in a function that changes value based upon the independent variable

22. 1.9 Functions and Graphs Relation: a set of ordered pairs
{(1, 29), (2, 58), (3, 58), (4,87), (5, 116)}
Domain: all the x coordinates listed least to greatest
{1, 2, 3, 4, 5}
Range: all the y coordinates listed least to greatest
{29, 58, 87, 116}

23. 1.9 Functions and Graphs
Discrete function: a graph that consists of points that are not connected
Continuous function: a graph that has a line or smooth curve of connected points