always, sometimes , or never true

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Always, Sometimes , or Never True. Solve For the Unknown. Everything About Slopes. Algebra Term & Symbols . 10. 10. 10. 10. 20. 20. 20. 20. 30. 30. 30. 30. 40. 40. 40. 40. 50. 50. 50. 50. Click here for game DIRECTIONS. Hardtke Jeopardy Template 2011. - PowerPoint PPT Presentation

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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.

Click to check answer

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

the slopes are and .

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20 Always, Sometimes, or Never

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.

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30 Always, Sometimes, or Never

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

Click to check answer

ALWAYSHint: By definition opp. Reciprocals

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

40 Always, Sometimes, or Never

The graph of a line is a function.

Click to check answer

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

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

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50 Always, Sometimes, or Never

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

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

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10 Solve for an Unknown

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

Click to check answer

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

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20 Solve for an Unknown

Find the x-intercept of

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Hint: Let y = 0.

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30 Solve for the Unknown

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

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(-3, 3)

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

Click to return to game board

40 Solve for the Unknown

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

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

Hint: Slope is

Click to return to game board

50 Solve for the Unknown

This is the slope of the x-axis.

Click to check answer

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

Click to return to game board

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

20 Everything About Slopes

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

Click to check answer

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

Click to return to game board

30 Everything About Slopes

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

slope of – 2.Click to check answer

Hint:

Click to return to game board

40 Everything About Slopes

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.

Click to return to game board

50 Everything About Slopes

This is called the slope-intercept form.

Click to check answer

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

Click to return to game board

10 Algebra Terms & Symbols

This is the Point-Slope Formula.

Click to check answer

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.

Click to return to game board

20 Algebra Terms & Symbols

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

Click to return to game board

30 Algebra Terms & Symbols

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

Click to check answer

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.

Click to return to game board

40 Algebra Terms & Symbols

Write the domain and range of the function shown.

Click to check answer

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.

Click to return to game board

50 Algebra Terms & Symbols

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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