Relations & Functions
Slope / Direct Variation
Write Equations of Lines
Parallel / Perpendicular
Linear Inequalities
100
Is the relation a function? Justify. (8,5), (-6,4), (3,-2), (-6,7)
No because -6 has more than one output
100
Find the slope and classify the line through the points (3, -2) and (-4, -2).
m = 0 Horizontal
100
Write the equation of the line with m=-4 passing through (7, -2).
y = -4x + 26
100
What do we know about the slopes of parallel lines?
They are equal
100
Is (6, 4) a solution to -2x <= y - 11?
True / Yes
200
Identify the Domain and Range: (-2,1), (5,6), (0,2), (9,6)
D: -2, 0, 5, 9 R: 1, 2, 6
200
Find the slope and classify the line through (9, 6) and (-7, -4).
m = 5/8 Rises
200
Write the equation of the line passing through (4, 5) and (6, -7).
y = -6x + 29
200
What do we know about slopes of perpendicular lines?
They are opposite and reciprocal
200
Is (4, 3) a solution to y < 1/4 x + 9
True / Yes
300
Given f(x) = x2 - 5x + 4. Evaluate f(2)
f(2) = -2
300
If y varies directly with x and y=7 when x=21, write the equation. Then evaluate when y = -12.
y = 1/3 x x = -36
300
Write an equation of the line through (-1, -3) and (1, -2) in Point-Slope Form.
y + 3 = 0.5(x + 1) OR y + 2 = 0.5(x - 1)
300
Write an equation of line through (1, -4) and parallel to y = -3x + 8
y = -3x - 1
300
Graph the inequality in the coordinate plane: 3x + y <= 6
See Board
400
Given h(x) = 5x - 10, Evaluate h(-5).
h(-5) = -35
400
If y varies directly with x and y=8 when x=0.5, write the equation. Then evaluate when x=3.
y = 16x y = 48
400
Write an equation of the line in standard form through (0, 4) and (4, 2)
x+ 2y = 8
400
Write an equation of the line through (9, -1) and perpendicular to y = 1/4 x - 7
y = -4x + 35
400
Graph the inequality in the coordinate plane: 4x + 7y > -28
See Board
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