Download Algebra Unit 5 Corrective 1 4 1 4 3 2 +

Algebra
Unit 5
Corrective 1
Show all work on a separate sheet of work paper. Remember to follow the criteria
for credit.
Competency 1: Eq. Of Line (slope/int)
1.
Write an equation of the line
shown in the graph below:
Competency 2: Point-slope/st. form
6.
Write the equation y =
4
x − 2 in
5
standard form.
y
7.
Write the equation
y + 2 = 4( x + 3) in standard
form.
8.
Write an equation of the line that
passes through (2,-3) and has a
slope of -3.
9.
Write an equation of the line that
passes through (6,3) and (4,2).
Put your answer in standard
form.
10.
Write an equation of the line that
passes through (2,-6) and
(2,-4). Put your answer in
standard form.
5
4
3
2
1
-5 –4 -3 –2 -1
-1
1
2
3
4
x
5
–2
-3
–4
-5
2.
Find the equation of the line
whose slope is
1
and whose
4
Competency 3: Fit. Line /Lin. Models
y-intercept is -4
3.
Find the equation of the line that
has a y-intercept of 3 and a
slope of 0.
4.
Find the equation of the line that
is parallel to the graph of
11.
Using the scatter plot below,
state whether x and y have a
positive correlation, negative
correlation, or no correlation.
2
y = − x + 4 , and whose
3
4
y-intercept is 5.
5.
Y
6
2
Find the equation of the line that
is perpendicular to the graph of
0
-6
-4
-2
0
-2
5
y = x − 2 , and whose
4
2
4
6
X
-4
y-intercept is 6.
-6
Page 1 of 3
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Algebra
12.
Unit 5
Draw a properly labeled scatter
plot for the data in the chart
below:
(years)
Age
# of Movies
Attended
17
28
18
26
18
24
19
20
20
16
22
20
22
12
24
12
25
12
26
8
Corrective 1
18.
Find the slope and y-intercept of
the graph of 2x + 3y = -4.
19.
Graph 3x + 2y = 4.
20.
If f ( x) = −2 x − 18, find f (− 3) .
Competency 5: D.P. #2
13.
For the scatter plot in #12, draw
a line of best fit and then find the
equation of this line.
14.
Use the scatter plot and the
equation of the best fit line to
predict the number of movies
attended at age 30, if the trend
continues.
15.
Graph f(x) = 4x -1 and
g(x) = 4x – 4. Then describe the
transformation from f(x) to g(x).
5
(3 x − 6) + 1 = 4
3
21.
Solve:
22.
Using the formula V = lwh,
calculate the length of a
container if the volume is
147 cm 3 , the width is 7 cm, and
the height is 3 cm.
23.
If you randomly select two
numbers from {12,13,14}, what is
the probability that the sum of
the two numbers is even? A
number can only be used once
in the sum.
24.
You are selecting 3 books to buy
on sale. You have decided to
pick one mystery book, one
romance novel and one sports
autobiography. Your bookstore
has 3 mysteries, 2 romance
novels, and 6 sports
autobiographies. How many
varieties of books could you buy
on sale?
25.
Determine if the point (-3, 4) is
on the graph of 3x – 4y = -22.
Justify your answer.
Competency 4: D.P. #1
16.
Find the slope of the line through
(-6, 2) and (5,2).
17.
Find the x and y intercepts of the
equation 3x – 2y = 9.
Page 2 of 3
© Mastery Mathematics
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Algebra
Unit 5
Corrective 1
19.
y
5
26.
Answers:
1.
y = x+4
1
y = x−4
4
2.
3.
4
3
2
1
-5 –4 -3 –2 -1
6.
7.
8.
9.
10.
11.
12.
2
3
4
5
x
-3
–4
2
y = − x+5
3
4
y =− x+6
5
5.
1
–2
y=3
4.
-1
-5
4x – 5y = 10
4x – y = -10
3x + y = 3
x – 2y = 0
x=2
no correlation
13.
20.
-12
21.
x=
22.
7 cm
23.
1
3
24.
25.
Movie Attendance By Age
28
24
13
5
36
The number of subscriptions you
sell is the independent variable.
20
16
12
8
4
0
17
19
21
23
25
27
Age (years)
14.
15.
16.
17.
y = -2x + 60 or with calculator
y = -1.98x + 59.54
0 movies
m=0
x-intercept is 3,
y-intercept is −
18
9
2
2
4
m = − and b = −
3
3
Page 3 of 3
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