Functional Relationships
What is the slope and y-intercept in the equation
y - 4x= 7?
Slope: 4
y-intercept: 7
Simplify (3m3n)2
9 m6 n2
Which description best compares the graphs given by the equations.
y = x + 1 and y=-x + 1
a) Parallel b) Perpendicular
C) Coincident d) Intersecting but not perpendicular
Perpendicular
Solve -4(p - 5) = 0
p = 5
Find the factor form and the rots using the functions
y=x2 + 4x - 5
Factor form (x + 5) (x - 1)
Roots: X=-5, x=1
In the sequence below, 5 is the first term when x = 1.
5, 10, 15, 20, 25, …..
a) y = x+5 c) y = x5
b) y = 5x d) y = 5x
b) y = 5x
Simplify ((a b2 c3)3 / (a b2 c3))
a2b4 c6
A line contains the points (7, 11) and (-2, -7). Find slope and y-intercepts,
M =2, b = -3.
Solve (x + 2)/5 = x/6
x = -12
If f(x) = 5x2 - 8x + 7, find f(-4)
119
What is the value of y in the equation y = 2/3x - 6 when x = 12
y = 2
The expression 2b3 c represents the length of a rectangle, and 5ab2 represents the width. What is the area of the rectangle?
10ab5c
Which equation represents a line that contains the point (-5, -3) and has y-intercept of 12?
a) y + 3x = 12 b) y+ 3x = -19
c) 3x - y = -12 d) 3/5x - y = -12
c) 3x - y = -12
Solve the equation: 8 - 4(m + 5) = 3(m - 9)
m = 15/7
How does the graph of y = 4x2 + 1 differ from the graph of y=4x2 - 3?
a) The graph of y=4x2 +1 is narrower than the graph of y= 4x2 - 3.
b) The graph of y = 4x2 + 1 is wider than the graph of y = 4x2 - 3.
c) The graph of y = 4x2 + 1 is translated 4 units up from the graph of y = 4x2 - 3.
Correct: c
What equation represents a line that has a slope of -3 and passes through the point (0, -4)?
y=-3x - 4
Simplify (2x2 - 5a) - (-4 a2 - 3a + 6)
6a2 - 2a - 6
Given slope-point form, y + 2 = 4/3(x - 1/2), write in standard form.
4x - 3y =-8
Graph 5x - 2y > 10
b = 5 m = 5/2
Shaded right side(bottom) with a dotted line.
1The area of a trapezoid can be found using the formula A = 1/2(b1 + b2)h, solve the formula for h.
h = 2A/(b1 + b2)
Given two points on a line, (-2, 5)and (4 -4), find an equation in standard form.
Equation: 3x + 2y = 4
Factor 5x2 - 11x + 2, find the factor form and the roots.
(x - 2) (5x - 1)
x = 2, x =1/5
Given (2, 8) and (4, -8), find an equation in slope-intercept form.
In addition, find the perpendicular and parallel line that passes through a point ( -1, -8)
Slope-intercept form: y = -8x + 24
Parallel line: y = -8x -16
Perpendicular line: y=1/8x - 16
Use the system of equation below.
-4x - 3y = 1 12x + 9y = -3
What statement correctly describes the graphs of these equations?
a) The lines are parallel.
b) The lines coincide.
c) The lines intersect at exactly one point.
d) The liens intersect at exactly two points.
Correct: C
Given f(x) = -2(x + 3)2 -5.
Find the vertex points.
Find the standard form.
Maximum Vertex point: (-3, -5)
Standard Form: f(x)=-2x2 - 12x - 23