Always, Sometimes , or Never True

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

10 Always, Sometimes, or Never If c is any real number, then x = c is a horizontal line.Click to check answer NEVER Hint: x = c is a vertical line with undefined slope. Click to return to game board

20 Always, Sometimes, or Never 2x + 3y = 12 and y = 1.5x – 1 are perpendicular lines.Click to check answer ALWAYS Hint: Slopes of perpendicular lines are opp. reciprocals. Here the slopes are and . Click to return to game board

30 Always, Sometimes, or Never A line with a negative slope will contain some points in quadrant II.Click to check answer ALWAYS Hint: lines with negative slopes are falling from left to right. Click to return to game board

40 Always, Sometimes, or Never The product of the slopes of perpendicular lines is – 1.Click to check answer ALWAYS Hint: By definition opp. Reciprocals have a slope of – 1. Click to return to game board

50 Always, Sometimes, or Never The graph of a line is a function.Click to check answer SOMETIMES Hint: Vertical lines are the only lines that are not functions since they have the same x-coordinate used many times. Click to return to game board

10Solve for an Unknown (n, 5) is a pointon 2x – 3y = – 7. Find n.Click to check answer 4 Hint: substitute n for x and 5 for y. 2n – 15 = – 7  2n = 8  n = 4 Click to return to game board

20Solve 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 Click to return to game board

30 Solve for the Unknown Find the x-intercept of Click to check answer Hint: Let y = 0. Click to return to game board

40 Solve for the Unknown Find the coordinates of the point of intersection ofy = 3 and 6x + 5y = – 3Click to check answer (-3, 3) Hint: Set y = 3  6x + 15 = -3  6x = -18 Click to return to game board

50 Solve for the Unknown For linear function, f,find f(7) given thatf(0) = – 1 and f(1) = 7Click to check answer Hint: Slope is Click to return to game board

10 Everything About Slopes This is the slope of the x-axis.Click to check answer 0 Hint: The slope of any horizontal line is zero since horizontal lines have a run, but no rise. Click to return to game board

20 Everything About Slopes What do all lines that rise from left to right have in common?Click to check answer POSITIVE SLOPES Click to return to game board

30 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

40 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

50 Everything About Slopes Find x if is vertical given A(2x + 3, 7x + 1) and B(5x, x – 9)Click to check answer x = 1 Hint: 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

10 Algebra Terms & Symbols This is called the slope-intercept form.Click to check answer y = mx + b Hint: m is slope and b is the y-intercept Click to return to game board

20 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

30 Algebra Terms & Symbols Given f(x) = 5x – 2, what is f(a + 3)?Click to check answer f(a + 3) = 5a + 13 Hint: f(a + 3) = 5(a + 3) – 2 Click to return to game board

40 Algebra Terms & Symbols This is the test to determine whether a relation is a function.Click to check answer VERTICAL LINE TEST Or “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

50 Algebra Terms & Symbols Write the domain and range of the function shown.Click to check answer D {x| -2 ≤ x ≤ 2} and R {y| -1 ≤ y ≤ 2} Hint: Domain is the set of all x’s and Range is the set of all y’s. Click to return to game board

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

Always, Sometimes , or Never True