Unit 02 Logic & Proof Review

What is the converse of the statement:

If you play a guitar, then you play a stringed instrument.

• If you do not play a guitar, then you do not play a stringed instrument.

• You play a guitar if and only if you play a stringed instrument.

• If you play a stringed instrument, then you play a guitar.

• If you do not play a stringed instrument, then you do not play a guitar.

What is the inverse of the statement:

If you play a guitar, then you play a stringed instrument.

• If you do not play a guitar, then you do not play a stringed instrument.

• You play a guitar if and only if you play a stringed instrument.

• If you play a stringed instrument, then you play a guitar.

• If you do not play a stringed instrument, then you do not play a guitar.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the contrapositive of the statement:

If you play a guitar, then you play a stringed instrument.

• If you do not play a guitar, then you do not play a stringed instrument.

• You play a guitar if and only if you play a stringed instrument.

• If you play a stringed instrument, then you play a guitar.

• If you do not play a stringed instrument, then you do not play a guitar.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the biconditional of the statement:

If you play a guitar, then you play a stringed instrument.

• If you do not play a guitar, then you do not play a stringed instrument.

• You play a guitar if and only if you play a stringed instrument.

• If you play a stringed instrument, then you play a guitar.

• If you do not play a stringed instrument, then you do not play a guitar.

Select the answer with the correct reasons.

• 1. Distributive Property

  2. Subtraction Property

  3. Addition Property

  4. Given

• 1. Distributive Property

  2. Given

  3. Subtraction Property

  4. Addition Property

• 1. Given

  2. Distributive Property

  3. Subtraction Property

  4. Addition Property

• 1. Given

  2. Multiplication Property

  3. Addition Property

  4. Addition Property

Find the next term in the pattern:

2, 4, 8, 16, 32, __

• 48

• 64

• 128

• 40

Tags

CCSS.4.OA.C.5

Which part is the hypothesis of the statement:

If it is raining outside, then I will bring my umbrella.

• If

• then

• it is raining outside.

• I will bring my umbrella.

Which part is the conclusion of the statement:

If it is raining outside, then I will bring my umbrella.

• If

• then

• it is raining outside.

• I will bring my umbrella.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Determine if the following is true or false:

The product of any two prime numbers is always odd.

• True

• False

Tags

CCSS.3.OA.D.9

Determine if the following is true or false:

If two angles are complementary, then both angles must be acute.

• True

• False

Tags

CCSS.7.G.B.5