WorksheetsIllustrative Math Algebra 2
Total questions: 23
Worksheet time: 2hrs 55mins
Name
Class
Date
1.
What is the equation of the line through the points (4,2) and (-3,-5) in slope intercept form.
a)
y =1x +2
b)
y = x - 5
c)
y = x -2
d)
y - 2 = (x - 4)
2.
Write the equation of the following graph.
a)
y = 4/3 x - 2
b)
y = -2x + 3
c)
y = 3/4x - 2
d)
y = - 4/3 x - 2
3.
Which equation doesn't represent a function?
a)
y = 4
b)
x = 8
c)
y = |x - 1| + 3
d)
y = -x2
4.
How is the graph of y = (x+3)2 - 4 transformed from it's parent graph?
a)
right 3 down 4
b)
left 3 down 4
c)
down 4 and compressed horizontally
d)
left 4 and compressed horizontally
5.
How does the equation y = -|x| + 5 differ from its parent function?
a)
reflected over the x-axis and left 5
b)
reflected over the y-axis and down 5
c)
reflected over the y-axis and right 5
d)
reflected over the x-axis and up 5
6.
If you
have data representing the relationship between the boiling temperature of
water at different altitudes; how would you explain the correlation between the
two variables given the correlation coefficient, r =- 0.99?
a)
strong positive correlation
b)
strong negative correlation
c)
weak positive correlation
d)
weak negative correlation
7.
Which equation is represented by the following graph?
a)
y + 5 = 1/2(x - 4)
b)
y - 3 = 1/2 (x - 0)
c)
y + 5 = -1/2 (x - 4)
d)
y -4 = -1/2 (x -2)
8.
A delivery truck can carry at most 2400 lbs of tables &
chairs. The average table, t, weighs
30 lbs & an average chair, c,
weighs 10 lbs.
Write an inequality that describes this situation.
Write an inequality that describes this situation.
a)
30t + 10c <(or equal to) 2400
b)
30t + 10c < 2400
c)
30t + 10c > 2400
d)
30t + 10c >(or equal to) 2400
9.
Which equation would best describe the following graph?
a)
y = | x - 4| - 4
b)
y = |x + 3| + 4
c)
y = |x + 3| - 4
d)
y = | x -3| + 4
10.
Which piece-wise function would best represent this graph?
a)
f(x) = -2x if x<= -1
-3if -1< x < 4
x + 2 if x >= 4
-3if -1< x < 4
x + 2 if x >= 4
b)
f(x) = -2x if x< -1
-3if -1<= x <= 4
x + 3 if x > 4
-3if -1<= x <= 4
x + 3 if x > 4
c)
f(x) = -2x if x< -1
-3if -1<= x <= 4
x + 2 if x > 4
-3if -1<= x <= 4
x + 2 if x > 4
d)
f(x) = 2x if x< -1
-3if -1<= x <= 4
x + 2 if x > 4
-3if -1<= x <= 4
x + 2 if x > 4
11.
Which parent graph is shown?
a)
y = |x|
b)
y = x2
c)
y = x
d)
y = [x]
12.
What does the parent function look like for y = [x]?
a)
Horizontal Line
b)
A Vee
c)
Steps
d)
a diagonal line through the origin
13.
What does the parent function look like for y = |x|
a)
Horizontal Line
b)
A Vee
c)
Steps
d)
a diagonal line through the origin
14.
What is the Domain of this graph?
a)
{-6, -1, 4}
b)
[-6,4]
c)
(-6,4)
d)
[-6, -1, 4]
15.
What is the Range of the following graph?
a)
[-5,-2] U (1, 4]
b)
(-5,-2) U [1,4)
c)
{-5,-2,1,4}
d)
[-5,-2,1,4]
16.
State the range over the interval of -4 <= x <= 0.
a)
positive infinity
b)
(1,4)
c)
[1,4]
d)
[-4,0]
17.
Write
the equation of each in the indicated form
through (5, -7) with m = - 13/5 in slope-intercept form
through (5, -7) with m = - 13/5 in slope-intercept form
a)
y = -13/5x + 5
b)
y = -13/5x -7
c)
y = -13/5x + 13
d)
y = -13/5 x + 6
18.
Write
the equation of each in the indicated form
6x - 3y = 42 in slope-intercept form
6x - 3y = 42 in slope-intercept form
a)
y = -1/2x - 7
b)
y = 2x -14
c)
y = -2x + 14
d)
y = 1/2x + 7
19.
Given the two lines, determine if they are parallel,
perpendicular, or neither.
4x – 2y = -10 6x – 3y = 3
4x – 2y = -10 6x – 3y = 3
a)
Parallel
b)
Perpendicular
c)
Neither
20.
What makes two lines parallel?
a)
same slope
b)
same y - intercept
c)
opposite reciprocal slopes
d)
opposite slopes
21.
What makes two lines perpendicular?
a)
same slope
b)
same y-intercept
c)
opposite reciprocal slopes
d)
opposite slopes
22.
Given
f(x) = 6x +1, find f(-4/3).
a)
f(-4/3) = -7
b)
f(-4/3) = -6/18
c)
f(-4/3) = -7/18
d)
f(-4/3) = 7
23.
Given
f(x) = x2 + 2x + 7, find f(5m).
a)
f(5m) = 5m2 + 25m + 7
b)
f(5m) = 35m + 7
c)
f(5m) = 5m2 + 10m + 7
d)
f(5m) = 25m2 + 10m + 7
100 %
