1'1 Expressions and Formulas

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1.1 Expressions and Formulas

• Objective
• 1)To use the order of operations to evaluate
  expressions.
• 2) To use formulas

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• Order of Operations
• P (parentheses)
• E (exponents)
• M (multiply)
• D (divide)
• A (add)
• S (subtract)

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• 1) Joe has 600 feet of fencing and wishes to
  enclose a rectangular area. Express the area of
  the rectangle as a function of the width x of
  the rectangle.

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• 2) Joe has 400 feet of fencing and wishes to
  enclose a rectangular area. One of the lengths of
  the enclosed area is next to a river and that
  side doesnt need to be enclosed with fencing.
  Express the area of the rectangle as a function
  of the width x of the rectangle.

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• 1.1 Assignment
• Page7 (4 8), (14 17), (21 25)
• Joe has 800 feet of fencing and wishes to enclose
  a rectangular area. Express the area of the
  rectangle as a function of the width x of the
  rectangle.
• 2) Joe has 200 feet of fencing and wishes to
  enclose a rectangular area. One of the lengths of
  the enclosed area is next to a river and that
  side doesnt need to be enclosed with fencing.
  Express the area of the rectangle as a function
  of the width x of the rectangle.

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1.2 Properties of Real Numbers

• Objective
• To determine the sets of numbers to which a given
  number belongs.
• To use the properties of real numbers to simplify
  expressions.

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• Number Sets
• R Real numbers
• Q Rational numbers
• Z Integers
• W Whole numbers
• N Natural numbers

• I Irrational Numbers

Repeating decimals or terminating decimals
Non-repeating decimals and non-terminating
decimals
Positive, negative, and neutral whole numbers.
Positive and neutral whole numbers
Positive whole numbers
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• Name the number sets of numbers to which each
  value belongs.
• (1) 5.2 (2) (3) (4)

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• Name the property of each.
• (5) 5x (4y 3x) (4y 3x) 5x (6) 6 -6 0

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• Name the property of each.
• (7) 4n 0 4n (8) 3x(2y) 2y(3x)

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• Name the additive inverse and the multiplicative
  inverse.
• (9) 5/6 (10) -1.25

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• 1.2 Assignment
• Page 14 (19 41 odd), 45, 47, 49, 66, 67

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1.3 Solving Equations

• Objective
• To translate verbal expressions and sentences
  into algebraic expressions and equations.
• To solve equations by using the properties of
  equality.
• To solve equations for a specific variable.

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Properties of Equality(properties used to solve
equations)
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• Name the property illustrated by each statement.
• x 9 6 9 (2) 28 6y 4 (3) r (6 9)
  32
• 6 9 15 6y 4 28 r 15 32
• x 9 15

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• Solve for the specified variable.
• (4) (5)

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• 1.3 Assignment
• Page 22 (22 28), (30 33), (35 41 odd),
• (45 49 odd), (53 57 odd), 59

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1.4 Solving Absolute Value Equations

• Objective
• To solve equation containing absolute vale
• To solve problems by making lists

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• Evaluate each expression if a -2.
• (1) (2)

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• Solve each equation. Check each solution.
• (3) (4)

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• Solve each equation. Check each solution.
• (5)

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• 1.4 Assignment
• Page 30, (14 42 even), 58, 60, 61

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1.5 Solving Inequalities Using Interval Notation

• Objective
• 1) To solve inequalities, graph the solution
  sets, and represent the answers in interval
  notation

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• Interval Notation

Inequality
Inequality
Interval Notation
Interval Notation
Inequality
Inequality
Interval Notation
Interval Notation
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• Express each inequality in interval notation.
• 1) 2)
• 3) 4)

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• Solve, graph, and write answer in interval
  notation.
• (3) 6x 3 gt 5x 2 (4)

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• Solve, graph, and write answer in interval
  notation.
• (5) (6) 5x 10 gt 5x 10

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• 1.5 Assignment
• Directions Express answers using interval
  notation.
• Page 37 (11 35 odd), 38, 39, 55

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1.6 Solving Absolute Value Inequalities

• Objective
• To solve compound inequalities using
• To solve inequalities involving absolute value,
  graph the solutions, and represent answers in
  interval notation.

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• Solve each inequality, graph, and represent
  answers using interval notation.
• (1) 9 lt 3x 6 lt 15 (2)

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• Solve each inequality, graph, and represent
  answers using interval notation.
• (3) (4)

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• State the absolute value inequality for each and
  then graph the solution set.
• (5) All numbers less than 18 (6) all numbers
  greater than 3
• and greater than 18 and less than -3

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• Solve each inequality, graph, and represent
  answers using interval notation.
• (7) (8)

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• 1.6 Assignment
• Page 45 (12 20 even), (24 30 even), (34 40
  even), (41 43), (45 49 odd), 68, (71 74)
• Represent each solution set using interval
  notation.