Drill 13 Evaluate each expression 1 2 Write

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Drill #13 Evaluate each expression: 1. 2. Write an algebraic expression for the verbal

Drill #13 Evaluate each expression: 1. 2. Write an algebraic expression for the verbal expression below then simplify the expression: 3. Six times the sum of a and 2 b increased by twice the sum of 3 a and b

1 -7 LOGICAL REASONING and COUNTEREXAMPLES Objective: Students should be able to identify the

1 -7 LOGICAL REASONING and COUNTEREXAMPLES Objective: Students should be able to identify the hypothesis and conclusion in a conditional statement and use a counterexample to show that assertion is false.

Conditional statement: If A then B If the popcorn burns, then the heat was

Conditional statement: If A then B If the popcorn burns, then the heat was too high.

(34. ) Conditional Statement, (35. ) Hypothesis, (36. ) Conclusion ** Definition: Conditional Statements:

(34. ) Conditional Statement, (35. ) Hypothesis, (36. ) Conclusion ** Definition: Conditional Statements: these are mathematical statements that can be written in the form If A, then B. Hypothesis: this is part of the statement immediately following if. Conclusion: this is part of the statement immediately following then.

Examples*: Identify the hypothesis and conclusion of each statement. 1. If it is Friday,

Examples*: Identify the hypothesis and conclusion of each statement. 1. If it is Friday, then Ofelia and Miguel are going to the movies. 2. If it is warm this afternoon, then we will have the party outside. 3. If 4 x + 3 > 27 , then x > 6.

Classwork 1 -7 Skills Practice #1 -3

Classwork 1 -7 Skills Practice #1 -3

1. Mary works at the bakery every Saturday. 2. Ivan only runs early in

1. Mary works at the bakery every Saturday. 2. Ivan only runs early in the morning. 3. A polygon that has five sides is a pentagon. 4. When Joseph has a fever, he stays home from school.

Identify the hypothesis & conclusion then write each statement in if-then form: 1. I

Identify the hypothesis & conclusion then write each statement in if-then form: 1. I will go to the ball game with you on Saturday. Hypothesis: it is Saturday Conclusion: I will go to the ball game with you.

Ex. #2. For a number x such that 6 x – 8 = 16,

Ex. #2. For a number x such that 6 x – 8 = 16, x = 4. Hypothesis: 6 x – 8 =16 Conclusion: x = 4

Classwork 1 -7 Skills Practice #4 -6

Classwork 1 -7 Skills Practice #4 -6

(37. ) Deductive Reasoning** The process of using facts, rules, definitions or properties to

(37. ) Deductive Reasoning** The process of using facts, rules, definitions or properties to reach a valid conclusion. Deductive Reasoning Example*: “If two numbers are odd then their sum is even. ” a. The numbers are 7 and 3. b. The sum of two numbers is 14. Does a valid conclusion follow? Explain…use a counterexample to justify.

Classwork 1 -7 Skills Practice #7 -14 (EVEN)

Classwork 1 -7 Skills Practice #7 -14 (EVEN)

Drill 17 Simplify each expression Drill 18 SimplifyDrill 17 Simplify each expression Drill 18 Simplify
Drill 25 Simplify each expression Drill 26 FindDrill 25 Simplify each expression Drill 26 Find
Drill 75 Simplify each expression Drill 76 SolveDrill 75 Simplify each expression Drill 76 Solve
Drill 29 Simplify each expression Drill 30 SimplifyDrill 29 Simplify each expression Drill 30 Simplify
Drill 3 Evaluate each expression if a 3Drill 3 Evaluate each expression if a 3
Drill 2 Evaluate each expression if a 6Drill 2 Evaluate each expression if a 6
Station 1 Evaluate Each Expression 1 Evaluate 2Station 1 Evaluate Each Expression 1 Evaluate 2
Drill Write each expression as a sum ofDrill Write each expression as a sum of
Drill 81 Solve each equation or inequality DrillDrill 81 Solve each equation or inequality Drill
Drill Evaluate each sum 12 22 32 42Drill Evaluate each sum 12 22 32 42
EXAMPLE 1 Evaluate expressions Evaluate the expression 27EXAMPLE 1 Evaluate expressions Evaluate the expression 27