Test 1 Retake Review

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given the conditional;

"If our class earns ten trucks, then we get a treat."

What is the contrapositive?

• If our class doesn't earn ten trucks then we don't get a treat.

• If our class doesn't get a treat, then we didn't earn ten trucks.

• If out class earns ten trucks then we don't get a treat.

• Trucks!

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given the statements:

If a shape is a parallelogram, then it's consecutive angles are supplementary.

A square is a parallelogram.

Which is a logical conclusion from the given statement?

• The consecutive sides of a square supplementary.

• The opposite angles of a square are supplementary.

• A square is a quadrilateral.

• The consecutive angles of a square are supplementary.

Tags

CCSS.HSG.CO.C.11

Which is the contrapositive of the following statement?

If ^x∕_y=z, then x=zy.

• If x = zy, then ^x∕_y = z.

• If ^x∕_y ≠ z, then x ≠ zy.

• If x ≠ zy, then ^x∕_y ≠ z.

• If x = zy, then ^x∕_y ≠ z.

Let p represent; Sam gets a job.

Let q represent; Sam will be available after school.

Which symbolically represents the following argument;

If sam gets a job, then he won't be available after school.

Sam is available after school.

Therefore, Sam did not get a job.

• p-> ~q

  q

  ∴~p

• p-> q

  ~q

  ∴~p

• q-> p

  ~q

  ∧~p

• p-> ~q

  ~q

  ∨~p

Tags

CCSS.8.SP.A.4

Given the statement;

If an angle is right, then it has an angle measure of 90°

<ABC is a right angle.

Which is a valid conclusion?

• <ABC is a right angle.

• <ABC is an angle in a square.

• <ABC has a measure of 90°

• There is not enough information

Tags

CCSS.7.G.B.5

Let p represent: Two angles are supplementary.

Let q represent: The angles have a sum of 180°

What is the symbolic representation of the following statement;

If two angles have a sum of 180°, then the angles are supplementary.

• p -> q

• q -> p

• ~p -> q

• ~q -> ~p

Tags

CCSS.7.G.B.5

What is the converse of the following statement?

If the figure was dilated with a scale factor greater than one, then the figure was enlarged.

• If the figure was not dilated with a scale factor greater then on, then the figure was not enlarged.

• If the figure was enlarged, then the figure was dilated with a scale factor greater then 1.

• If the figure was not enlarged, then the figure was dilated with a scale factor less then one.

• If the figure was enlarged, then the figure was dilated with a scale factor less than one.

Tags

CCSS.8.G.A.3

Given the following statements, which is a valid conclusion;

If the Blue Socks beat the Green Socks, then they will go to the championship game. If they go to the championship game, then they will play the Orange Socks.

• If the Green Socks go the the championship game, then the Blue Socks will play the Orange Socks.

• If the Orange Socks go to the championship game, then the Blue socks will beat the Green Socks.

• If the Blue Socks don't beat the Green Socks, then the Green Socks will play the Orange Socks.

• If the Blue Socks beat the Green Socks, then they will play the Orange Socks.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

Let p represent John passes his SOL.

Let q represent John graduates.

Let r represent John goes to summer school

Symbolically represent the following;

If John passes his SOL, then he graduates.

If John graduates, then he doesn't go to summer school.

John passes his SOL

Therefore John doesn't go to summer school.

• p -> q

  q -> ~r

  p

  ∴~r

• p -> q

  q -> ~r

  p

  ∴r

• p -> ~q

  ~q -> r

  p

  ∴~r

Tags

CCSS.HSS.CP.A.1