Always, Sometimes, or Never True Solve for X Name The Property Algebra Term & Symbols 10 20 30 40 50...

Always,Sometimes,

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50Hardtke Jeopardy Template 2011Click here for game DIRECTIONS

If x is a repeating decimal, then x is a rational

number.Click to check answer

ALWAYSHint: Use as an easy way to remember this.

Click to return to game board

10 Always, Sometimes, or Never

If x is a whole number, then

is an irrational number.Click to check answer

SOMETIMES

Hint: is rational while is irrationalClick to return to game board


If x is an integer, then x is a natural number.

Click to check answer

SOMETIMESHint: Integers {… ,-2, -1, 0, 1, 2, …}

Natural (or Counting) numbers {1, 2, 3, …}Click to return to game board


If x is a non-negative real number, then


SOMETIMESHint: true when x > 1, but false when 0 ≤ x ≤ 1.



The solution set of an identity is .


NEVERHint: is the solution set of a contradiction.

{All real numbers} is the solution set of an identity.



x =


– 5Hint: this becomes (-9)(5)


10 Solve for X


– 16

Hint: “opposite of 5 squared plus negative 3 squared”This becomes -25 + 9


20 Solve for X

X is the smallest value fromthis list of real numbers:

, , , 0.444…Click to check answer

Small to large:= 4,, 0.444…


30 Solve for X

| x | > 5 is equivalent to

{x| _______or _______}.Click to check answer

{x| x < -5 or x > 5}Hint: Where is the distance to the origin greater than five?


40 Solve for X

X is the only real number from this list:

, Click to check answer

Hint:


50 Solve for X

6 + 2x = 2(3 + x)Click to check answer

DISTRIBUTIVE PROPERTYHint: recall the full name is “Distributive Property of Multiplication

over Addition” and properties can be applied in either order. 5(a + b) = 5a + 5b and 6x + 9 = 3(2x + 3) are both examples of

Distributive Property.


10 Name the Property

2 + (3 + x) = (2 + 3) + x


ASSOCIATIVE PROPERTYHint: order of terms stayed the same, only

the grouping symbols movedClick to return to game board


For a


INVERSE PROPERTY OF MULT. Hint: this can also be called the

Property of ReciprocalsClick to return to game board


If a + b = c and c = d + f,then a + b = d + f.


TRANSITIVE PROPERTY (of Equality) Hint: Reflexive a = a

Symmetric If a = b, then b = aTransitive If a = b & b = c, then a = c.



2 + (3 + x) = (3 + x) + 2


COMMUTATIVE PROPERTY

Hint: this is same as a + b = b + a



Name this set of numbers:{0, 1, 2, 3, . . . }


WHOLE NUMBERSHint: Natural (or Counting) Numbers{1, 2, 3, …}

Integer {…, -2, -1, 0, 1, 2, …}Click to return to game board

10 Algebra Terms & Symbols

An equation that has{all real numbers}

as its solution. For example: 2x + 5 – x = 1 + x + 4


IDENTITYHint: Contradiction has no solutions;

Conditional equation has a finite number of solutions; Identity has all real numbers as solution.



Write the set{x| -3 ≤ x < 7}

in interval notation.Click to check answer

[ -3, 7 )Click to return to game board


Write this statement using absolute value symbols:

“x is no more than 7 units from -3”


| x + 3 | ≤ 7 or | -3 – x | ≤ 7Hint: Distance from a to b is defined as |a – b | or | b – a|



Write the definition of the absolute value of x as a

piecewise definition.Click to check answer

Hint: you only need to take the opposite to change the sign when x is negative to begin

with.Click to return to game board


Jeopardy Directions• Any group member may select the first question and students rotate choosing the next

question in clockwise order regardless of points scored.

• As a question is exposed, EACH student in the group MUST write his solution on paper. (No verbal responses accepted.)

• The first student to finish sets down his pencil and announces 15 seconds for all others to finish working.

• After the 15 seconds has elapsed, click to check the answer.– IF the first student to finish has the correct answer, he earns the point value of the question and no

other students earn points.– IF that student has the wrong answer, he subtracts the point value from his score and EACH of the

other students with the correct answer earns/steals the point value of the question. (Those students do NOT lose points if incorrect, only the first student to “ring in” can lose points in this game version.)

• Each student should record a running total of his own score.

• Good sportsmanship and friendly assistance in explaining solutions is expected! Reviewing your math concepts is more important than winning.

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Always, Sometimes, or Never True Solve for X Name The Property Algebra Term & Symbols 10 20 30 40 50...

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