Review Unit 3

Multiple Choice

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

Multiple Choice

Which of the following is true about the conditional statement below?

If you are flying, then you are in a

jet.

• Hypothesis: you are flying

  Conclusion: you are in a

  jet

• Hypothesis: IF you are flying

  Conclusion: THEN you are in a

  jet

• Hypothesis: THEN you are in a

  jet

  Conclusion: IF you are flying

• Hypothesis: you are in a

  jet

  Conclusion: you are flying

Multiple Choice

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

• Hypothesis: you are in Alaska

  Conclusion: you are

  cold

• Hypothesis: IF you are in Alaska

  Conclusion: THEN you are

  cold

• Hypothesis: THEN you are

  cold

  Conclusion: IF you are in Alaska

• Hypothesis: you are

  cold

  Conclusion: you are in Alaska

Multiple Choice

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

• If an object is made of gold, then it is a ring.

• If an object is not a ring, then it is not made of god.

• If an object is not made of gold, then it is not a ring.

• There is no converse of the statement.

Multiple Choice

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

• If an object can fly, then it is a bird.

• If an object is not a bird, then it cannot fly

• If an object cannot fly, then it is not a bird

• There is no converse of the statement

Multiple Choice

Which of the following is the CONVERSE of the statement below?

If your grade is a 96, then you are

making an A.

• If you are making an A, then your grade is a 96.

• If you are not making an A, then your grade is not a 96.

• If your grade is not a 96, then you are not making an A.

• There is no converse of the statement.

Multiple Choice

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

• If you wear a uniform, then you play football.

• If you do not play football, then you do not wear a uniform.

• If you do not wear a uniform, then you do not play football.

• There is no converse of the statement.

Multiple Choice

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

• If an object is not a computer, then it does not have a hard drive.

• If an object does not have a hard drive, then it is not a computer.

• If an object has a hard drive, then it is a computer.

• There is no inverse of the statement.

Multiple Choice

Which of the following is the INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

• If an object is not a battery, then it is not

  rechargeable.

• If an object is rechargeable, then it is not a battery.

• If an object is not rechargeable, then it is not a battery.

• There is no inverse of the statement.

Multiple Choice

Which of the following is the INVERSE of the statement below?

If an animal is black and white,

then it is a penguin.

• If an animal is not black and white, then it is not a penguin

• If an animal is a penguin, then it is black and white.

• If an animal is not a penguin, then it is not black and white.

• There is no inverse of the statement.

Multiple Choice

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

• If a species is not human, then it does not walk on two feet.

• If a species is human, then it walks on two feet.

• If a species does not walk on two feet, then it is not human.

• There is no contrapositive of the statement.

Multiple Choice

Which of the following is the CONTRAPOSITIVE of the statement below?

If a gem is a ruby, then it is red.

• If a gem is not red, then it is not a ruby.

• If a gem is not a ruby, then it is not red.

• If a gem is red, then it is a ruby.

• There is no contrapositive statement.

Multiple Choice

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

• If a species does not live in water, then it is not a fish.

• If a species is not a fish, then it does not live in water.

• If a species lives in water, then it is a fish.

• There is not contrapositive of the statement.

Multiple Choice

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

• If there is not lightning, then there is not thunder.

• If there is thunder, then there is lightning.

• There is lightning if and only if (iff) there is thunder.

• There is no biconditional statement.

Multiple Choice

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

• If it is not wet, then it is not water.

• If it is wet, then it is water.

• It is water if and only if (iff) it is wet.

• There is no biconditional statement.

Multiple Choice

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

• If an angle is acute, then it has a measure less than 90°.

• If an angle is not acute, then it does not have a measure less than 90°.

• If an angle is acute, then it is acute.

• If an angle does not measure less than 90°, then it is not acute.

Multiple Choice

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

An angle is acute if and only if (iff) it has a measure less than 90°.

• Biconditional

• Converse

• Inverse

• Contrapositive

Multiple Choice

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

• Contrapositive

• Converse

• Biconditional

• Inverse

Multiple Choice

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

• Converse

• Contrapositive

• Biconditional

• Inverse

Multiple Choice

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

• Inverse

• Contrapositive

• Biconditional

• Converse

Algebraic Expressions

T1 - Evaluate numeric and algebraic expressions

T2 - Generate equivalent expressions

Combine Like Terms

Terms: the "words" in a math sentence

Like Terms: terms that have the same variable raised to the same power.

Multiple Choice

How many terms are in the following expression?

3x + y + 42

• 2 terms

• 3 terms

• 4 terms

Multiple Choice

How many terms are in the following expression?

5 - 72x + 43y - 109 + 5z

• 3 terms

• 4 terms

• 5 terms

• 6 terms

Multiple Choice

Combine like terms.

3x + 2x + 7

• 12x

• 5x + 7

• 14x

• 3x + 2x + 7

Multiple Choice

Combine like terms.

 $3x^2+3y+4-2y+x$  

•  $4x^2+1y+4$  

•  $3x^2+1y+4+x$  

•  $3x^2+3y+4-2y+x$  

• 13xy

Distributive Property

• Remember: "Distribute" means to share

• Share (by multiplying) what is on the outside with EVERYTHING that is on the inside.

Multiple Choice

Use the Distributive Property.

2(3x+4)

• 8x+24x

• 6x

• 6x+4

• 6x+8

Fill in the Blank

3(7x+10)

Fill in the Blank

10(x+4)

Open Ended

3-MINUTE BRAIN BREAK!!

Try to solve the riddle, stand up and stretch, get a drink, etc.

I am tall when I am young, and I am short when I am old. What am I?

Type in your answer.

Factoring

• Think "reverse of Distributive Property"

• Instead of sharing, we are taking things away by dividing

Multiple Choice

What is the most we can take away (divide) from BOTH numbers?

12 and 4

• 2

• 4

• 6

• 8

Multiple Choice

What is the most we can take away (divide) from BOTH numbers?

12 and 20

• 2

• 4

• 5

• 10

Multiple Choice

Use factoring to take out the most that you can.

10 + 12

• 5(2+12)

• 2(5+6)

• 4(4+3)

• 1(10+12)

Multiple Choice

Use factoring to take out the most that you can.

12x + 16

• 2(6x+8)

• 12(1x+2)

• 3(4x+6)

• 4(3x+4)

Fill in the Blank

Use factoring to take out the most that you can.

2x + 8

Poll

How do you feel about simplifying algebraic expressions?

• I feel pretty good!

• I think I understand most of it.

• I have some questions.

• I'm really struggling.

Multiple Choice

Inductive or Deductive?

• Inductive

• Deductive

Multiple Choice

Is the reasoning Inductive or Deductive?

• Inductive

• Deductive

Multiple Choice

Inductive or Deductive?

• Inductive

• Deductive

Multiple Choice

Is this Inductive or Deductive reasoning?

• Inductive

• Deductive

Multiple Choice

Inductive or Deductive? You choose.

• Inductive

• Deductive

Multiple Choice

Is this Inductive or Deductive reasoning?

• Inductive

• Deductive

Multiple Choice

Is this Inductive or Deductive logic?

• Inductive

• Deductive

Multiple Choice

Inductive or Deductive?

• Inductive

• Deductive

Multiple Choice

Which of the following question marks canbe solved by Inductive reasoning?

• 2, 4, 6, 8, ?

• 2, 4, ?, 8, 10

• 0, 1, 3, 6, ?, 15

• -3, -2, -1, ?

Multiple Choice

Which reasoning method can support the population prediction below?

• Inductive

• Deductive

Multiple Choice

The conclusion that X=30 degrees is Inductive or Deductive reasoning?

• Inductive

• Deductive

Multiple Choice

What reasoning method will we need to find the next member of this pattern?

• Inductive

• Deductive

Multiple Choice

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Multiple Choice

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Multiple Choice

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

Multiple Choice

Fill in the reason for number 5. 

• Definition of congruent angles
• Angle Addition Postulate
• Substitution Property
• Transitive Property

Multiple Choice

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles
• Substitution
• Definition of Congruent Angles
• Vertical Angles are congruent.

Multiple Choice

Which proof is incorrect?

Multiple Choice

Which property justifies the next step?

• Definition of linear pair
• Definition of supplementary angles
• Congruent supplements thm
• Linear pair postulate

Multiple Choice

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

Multiple Choice

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Multiple Choice

1) Which statement restates the Given from the question?

Multiple Choice

2) Which statement represents what you have to prove from the question?

Multiple Choice

3) What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

Multiple Choice

4) What is the reason for Statement 3

• Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180°

• Same-side Interior Angles Theorem

• Vertical Angles Theorem

Multiple Choice

9) What is the Given for Statement 1?

Multiple Choice

11) What is the reason for Statement 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

Multiple Choice

13) What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem