The video tutorial covers solving inequalities, calculating triangle perimeters, identifying counterexamples for divisibility and prime numbers, and understanding logical conclusions. It also explains the zero product property in equations, providing a comprehensive overview of algebraic problem-solving and logical reasoning.

What is the solution to the inequality x - 5 > 14?

• x < 9

• x < 19

• x > 19

• x > 9

Tags

CCSS.3.MD.D.8

If the perimeter of a triangle is 56 cm and the sides are y, y+1, and 7 cm, what is the value of y?

• y = 26

• y = 25

• y = 23

• y = 24

Tags

CCSS.3.MD.D.8

What is the perimeter of a triangle with sides y, y+1, and 7 cm if y = 24?

• 59 cm

• 56 cm

• 57 cm

• 58 cm

Which number is a counterexample to the statement 'All positive integers are divisible by 2 or 3'?

• 57

• 100

• 30

• 25

Tags

CCSS.4.OA.B.4

Which of the following numbers is divisible by both 2 and 3?

• 100

• 30

• 57

• 25

What is the conclusion of the statement 'If x^2 = 4, then x is -2 or 2'?

• x is -2 or 2

• x is 4

• x is 2

• x is 0

Tags

CCSS.RI.7.1

CCSS.RL.6.1

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

If a student is a high school band member, what can be concluded?

• All musicians are band members

• All students are band members

• All students are musicians

• All band members are good musicians

Which of the following is NOT a valid conclusion from the statement 'If a student is in the high school band, then they are a good musician'?

• Some students are not musicians

• All students are good musicians

• Some musicians are not band members

• All band members are good musicians

Tags

CCSS.6.EE.B.5

Which value of x disproves the statement that x^2 + x + 5 is always prime for positive x?

• x = 1

• x = 2

• x = 3

• x = 5

Tags

CCSS.HSA-REI.B.4B

What property is used when concluding that if (x+2)(x+3) = 0, then x+2 = 0 or x+3 = 0?

• Distributive Property

• Zero Product Property

• Associative Property

• Commutative Property

Tags

CCSS.HSA-REI.B.4B