1. Always,
Sometimes,
or Never True
Solve
for X
Name
The
Property
Algebra
Term & Symbols 10 10 10 10 20 20 20 20 30 30 30 30 40 40 40 40 50 50 50 50
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Hardtke Jeopardy Template 2011

2. 10 Always, Sometimes, or Never
If x is a repeating decimal, then x is a rational number. Click to check answer
ALWAYS
Hint: Use 1 3 =0. 3 as an easy way to remember this.
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3. 20 Always, Sometimes, or Never
If x is a whole number, then 𝑥 is an irrational number. Click to check answer
SOMETIMES
Hint: is rational while is irrational
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4. If x is an integer, then x is a natural number. Click to check answer
Always, Sometimes, or Never
If x is an integer, then x is a natural number. Click to check answer
SOMETIMES
Hint: Integers  {… ,-2, -1, 0, 1, 2, …}
Natural (or Counting) numbers  {1, 2, 3, …}
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5. 40 Always, Sometimes, or Never
If x is a non-negative real number, then 𝑥 <𝑥. Click to check answer
SOMETIMES
Hint: true when x > 1, but false when 0 ≤ x ≤ 1.
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6. The solution set of an identity is . Click to check answer
Always, Sometimes, or Never
The solution set of an identity is . Click to check answer
NEVER
Hint:  is the solution set of a contradiction.
{All real numbers} is the solution set of an identity.
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7. x = −6 −3 −2 −3 ÷9 Click to check answer
Solve for X
x = −6 −3 −2 −3 ÷9 Click to check answer
– 5
Hint: this becomes (-9)(5) ÷9
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8. −5 2 + −3 2 Click to check answer
20 Solve for X
− − Click to check answer
– 16
Hint: “opposite of 5 squared plus negative 3 squared”
This becomes
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9. Solve for X
X is the smallest value from this list of real numbers: 0, −𝜋, −2 2 , − , − 0.444… Click to check answer
−𝟐 𝟐
Small to large: −2 2 = − 4, −𝜋, − 0.444…,− =− 1 3 =−0.333…, 0
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10. 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?
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11. Click to return to game board
Solve for X
X is the only real number from this list: −5 , −3 2 − 7 , − 2 4 𝜋−𝜋 , −9 Click to check answer
𝟏𝟖 −𝟑 𝟐 − 𝟕
Hint: 0 0 𝑜𝑟 𝑛𝑜𝑛−𝑧𝑒𝑟𝑜 0 ,𝑜𝑟 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒 𝑎𝑟𝑒 𝑛𝑜𝑡 𝑟𝑒𝑎𝑙, 𝑏𝑢𝑡 0 𝒏𝒐𝒏−𝒛𝒆𝒓𝒐 𝑖𝑠 𝑟𝑒𝑎𝑙
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12. 6 + 2x = 2(3 + x) Click to check answer
Name the Property
6 + 2x = 2(3 + x) Click to check answer
DISTRIBUTIVE PROPERTY
Hint: 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.
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13. 2 + (3 + x) = (2 + 3) + x Click to check answer
Name the Property
2 + (3 + x) = (2 + 3) + x Click to check answer
ASSOCIATIVE PROPERTY
Hint: order of terms stayed the same, only the grouping symbols moved
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14. For a ≠0, 𝑎∙ 1 𝑎 =1 Click to check answer
Name the Property
For a ≠0, 𝑎∙ 1 𝑎 =1 Click to check answer
INVERSE PROPERTY OF MULT.
Hint: this can also be called the
Property of Reciprocals
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15. If a + b = c and c = d + f, then a + b = d + f. Click to check answer
Name the Property
If a + b = c and c = d + f, then a + b = d + f. Click to check answer
TRANSITIVE PROPERTY (of Equality)
Hint: Reflexive a = a
Symmetric  If a = b, then b = a
Transitive  If a = b & b = c, then a = c.
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16. 2 + (3 + x) = (3 + x) + 2 Click to check answer
Name the Property
2 + (3 + x) = (3 + x) + 2 Click to check answer
COMMUTATIVE PROPERTY
Hint: this is same as a + b = b + a
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17. Name this set of numbers: {0, 1, 2, 3, . . . } Click to check answer
Algebra Terms & Symbols
Name this set of numbers: {0, 1, 2, 3, } Click to check answer
WHOLE NUMBERS
Hint: Natural (or Counting) Numbers{1, 2, 3, …}
Integer  {…, -2, -1, 0, 1, 2, …}
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18. 20 Algebra Terms & Symbols
An equation that has {all real numbers} as its solution. For example: 2x + 5 – x = 1 + x + 4 Click to check answer
IDENTITY
Hint: Contradiction has no solutions;
Conditional equation has a finite number of solutions;
Identity has all real numbers as solution.
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19. 30 Algebra Terms & Symbols
Write the set {x| -3 ≤ x < 7} in interval notation. Click to check answer
[ -3, 7 )
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20. 40 Algebra Terms & Symbols
Write this statement using absolute value symbols: “x is no more than 7 units from -3” Click to check answer
| x + 3 | ≤ 7 or | -3 – x | ≤ 7
Hint: Distance from a to b is defined as |a – b | or | b – a|
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21. 50 Algebra Terms & Symbols
Write the definition of the absolute value of x as a piecewise definition. Click to check answer
𝒙 = 𝒙 𝒊𝒇 𝒙 ≥𝟎 −𝒙 𝒊𝒇 𝒙<𝟎
Hint: you only need to take the opposite to change the sign when x is negative to begin with.
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22. Return to main 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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