Fun with Inequalities & Equations
Throwback
Formulas
Math Rocks
Graph-aganza
100
Is the shadeing above or below the line?
Is the line dashed or solid?
y > 3x - 9
Shaded above
Dashed
100
Provide the Domain and Range:
{(2, 10), (-3, 10), (4, -20), (5, 30)}
Domain: {-3, 2, 4, 5}
Range: {-20, 10, 30}
100
What is the point-slope form of a linear equation:
y - y1 = m(x - x1)
100
Find the x- and y-intercept:
2x + 3y = –18
x-intercept (–9,0)
y-intercept (0,–6)
100
What is the slope of this linear graph?
2/3
200
Solve for x:
4x + 7 = 31
x = 6
200
Is this a function?
Yes; It passes the vertical line test.
200
What is Slope Intercept Form?
y = mx + b
200
A dog kennel costs $114.79. It is on sale for 15% off and the sales tax rate is 5.5%. How much will the kennel cost?
114.79 x .85 = 97.5715
97.5715 x 1.055 = 102.9379
$102.94
200
Sketch the graph:
y = -2/3(x) + 1
<Graph>
300
Solve for x:
2(3x - 4) + 22 = 34
x = 4
300
Is it a Linear Equation?
y = 10x - 7
y = x2 - 6x + 9
y = x/8 - 3
xy = 4
yes, no, yes, no
300
What formula can be used to find any term in the following sequence?
20, 17, 14, 11
an = 20 - 3(n-1)
an = -3n + 23
300
Write the equation for the line with a slope of 0 that goes through the point (-6,2).
y = 2
300
Which graph best represents: −5y=−6x+15?
C
y = 6/5(x) - 3
400
Solve for x:
-3|9-2x|=-9
x = 3 or x = 6
400
Translate:
The sum of a number cubed and five is the same as the product of the same number and fifteen.
n3 + 5 = 15n
400
What is the Standard Form of a linear equation? Provide the rules.
Ax + By = C
no -A value
no decimals/fractions
no common factors
400
What's the slope and y-intercept?
-3x - 5y = 45
y = -3/5(x) - 9
m = -3/5
y-intercept: (0, -9)
400
What is the Standard Form equation of this linear graph?
y = -2/3x + 5
2/3x + y = 5
2x + 3y = 15
500
Solve the compound inequality. Give your answer as a solution set.
-6 < 3x + 6 < 8
{x|-4<x<2/3}
500
Combine like terms:
2x3 - 10xy2 + 3x3 - xy2 - 7 + 4
5x3 - 11xy2 - 3
500
Y varies directly as x and y = 8 when x = 6. Write a direct variation equation for the situation.
y = 4/3(x)
500
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7x – 4y = 4 x – 4y = 3
Put in slope intercept form:
y = 7/4(x) - 1
y = 1/4(x) - 3/4
neither
500
Solve the system:
y < 4
x < 3
y > -4/3(x) + 4
Triangles with corners at:
(0,4)
(3,4)
(3,0)