Mathematics Problem Solving Quiz

The video tutorial covers solving various mathematical problems, including finding the arithmetic mean of two variables, determining the number of raffle tickets sold by individuals, verifying algebraic equations, checking for repeated integers, and comparing line segments. Each problem is approached by analyzing given statements to determine sufficiency for solving the problem.

What is the average of j and k if the average of j+2 and k+4 is 11?

• 10

• 9

• 8

• 7

Tags

CCSS.6.EE.B.7

If the average of j+k and 14 is 10, what is the value of j+k?

• 14

• 12

• 18

• 16

Tags

CCSS.7.EE.B.3

If Paula and Sandy sold 100 tickets together, and Sandy sold 2/3 as many as Paula, how many did Paula sell?

• 40

• 50

• 60

• 70

Tags

CCSS.6.RP.A.3C

If Sandy sold 8% of all tickets for club x, can we determine how many tickets Paula sold?

• Yes, because Sandy's percentage is enough

• No, because Paula's percentage is needed

• No, because the total number of tickets is unknown

• Yes, with the given information

Tags

CCSS.6.EE.B.5

Is the equation ax = 3 - bx true if x(a + b) = 3?

• Yes, always

• No, never

• Yes, if a = b

• Yes, if x = 1

Tags

CCSS.6.EE.B.5

If a = b = 1.5 and x = 1, does ax equal 3 - bx?

• Yes

• No

• Only if x = 2

• Only if a = 2

If more than 40 people wrote down one of the first 30 integers, were any integers repeated?

• Yes, if more than 50 people

• No, not possible

• No, if less than 50 people

• Yes, definitely

Tags

CCSS.5.NBT.A.2

If less than 70 people wrote down an integer, can we determine if any integers were repeated?

• Yes, if more than 30 people

• No, if less than 30 people

• No, not enough information

• Yes, always

Tags

CCSS.HSG.CO.C.10

In a line segment problem, if AD = 20 and AB = CD, can we determine if CD is greater than BC?

• No, if AB = 5

• Yes, if AB = 10

• No, not enough information

• Yes, always

If AB = CD and AD = 20, can we conclude CD is greater than BC?

• Yes, if BC = 4

• No, if BC = 10

• No, not necessarily

• Yes, if AB = 8