Always, Sometimes , or Never True

Always,Sometimes,

or Never True

SolveFor the

Unknown

EverythingAboutSlopes

AlgebraTerm &

Symbols

1020304050

1020304050

1020304050

1020304050

Hardtke Jeopardy Template 2011Click here for game DIRECTIONS

If c is any real number, then x = c is a horizontal line.

Click to check answer

NEVERHint: x = c is a vertical line with undefined slope.

Click to return to game board

10 Always, Sometimes, or Never

2x + 3y = 12 and y = 1.5x – 1 are perpendicular lines.


ALWAYSHint: Slopes of perpendicular lines are opp. reciprocals. Here

the slopes are and .



A line with a negative slope will contain some points in

quadrant II.Click to check answer

ALWAYSHint: lines with negative slopes are falling

from left to right.



The product of the slopes of perpendicular lines is – 1.


ALWAYSHint: By definition opp. Reciprocals

have a slope of – 1.Click to return to game board


The graph of a line is a function.


SOMETIMESHint: Vertical lines are the only lines that are not functions

since they have the same x-coordinate used many times.



(n, 5) is a pointon 2x – 3y = – 7. Find n.


4Hint: substitute n for x and 5 for y.2n – 15 = – 7 2n = 8 n = 4


10 Solve for an Unknown

Given x + 2, find f(6) + f(-3).


6Hint: f(6) = 4 + 2 = 6 and f(-3) = -2 + 2 = 0


20 Solve for an Unknown

Find the x-intercept of


Hint: Let y = 0.


30 Solve for the Unknown

Find the coordinates of the point of intersection ofy = 3 and 6x + 5y = – 3


(-3, 3)

Hint: Set y = 3 6x + 15 = -3 6x = -18



For linear function, f,find f(7) given that

f(0) = – 1 and f(1) = 7Click to check answer

Hint: Slope is



This is the slope of the x-axis.


0Hint: The slope of any horizontal line is zero since horizontal lines have a run, but no rise.


10 Everything About Slopes

What do all lines that rise from left to right have in

common?Click to check answer

POSITIVE SLOPESClick to return to game board


Find the slope of a line parallel to 2x – 7y = 21.


Hint: change to y = mx + b or use shortcut that slope from standard form is -



Find the value of k so that3x – (2k + 1)y = 8 will have a

slope of – 2.Click to check answer

Hint:



Find x if is vertical given A(2x + 3, 7x + 1)

and B(5x, x – 9)Click to check answer

x = 1Hint: Denominator of slope must be zero for vertical line.

This is OK since the numerator would then be -16, it cannot also be zero.



This is called the slope-intercept form.


y = mx + bHint: m is slope and b is the y-intercept


10 Algebra Terms & Symbols

This is the Point-Slope Formula.


y – y1 = m(x – x1)Hint: Use this formula when you know two points or a point and the slope,

but you do not know the y-intercept.



Given f(x) = 5x – 2, what is f(a + 3)?Click to check answer

f(a + 3) = 5a + 13Hint: f(a + 3) = 5(a + 3) – 2



This is the test to determine whether a relation is a function.


VERTICAL LINE TESTOr “Check that no x-coordinate is repeated”

Hint: Recall that it is OK for y’s to be repeated, but not x’s.



Write the domain and range of the function shown.


D {x| -2 ≤ x ≤ 2} andR {y| -1 ≤ y ≤ 2}

Hint: Domain is the set of all x’s andRange is the set of all y’s.



Jeopardy Directions• Any one student 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 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.

Return to main game board

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Always, Sometimes , or Never True