Download Algebra Unit 5 Review Assignment 1 3 2 − = x y 7 2 5 + = x y 7 3

Algebra
Unit 5
Review Assignment
Show all work on a separate sheet of work paper. Remember to follow the criteria
for credit.
Competency 1: Equation of a Line
(slope - intercept)
1.
Competency 2: Point-slope / standard
form
Write an equation of the line
shown in the graph below:
y
6.
Write the equation y = 3 x − 7 in
standard form.
7.
Write the equation
1
y − 2 = (x + 1) in standard
5
5
4
form.
3
2
1
-5 –4 -3 –2 -1
-1
1
2
3
4
5
x
8.
Write an equation of the line that
passes through (-3,0) and has a
slope of 6.
9.
Write an equation of the line that
passes through (-1,2) and (5,2).
Put your answer in standard
form.
10.
Write an equation of the line that
passes through (7,-3) and
(-1,-1). Put your answer in
standard form.
–2
-3
–4
-5
2.
Find the equation of the line
whose slope is –2 and whose
y-intercept is 1.
3.
Find the equation of the line that
has no y-intercept, has an
x-intercept of -4 and whose
slope is undefined.
4.
Competency 3: Fit. Line /Lin. Models
11.
Using the scatter plot below,
state whether x and y have a
positive correlation, negative
correlation, or no correlation.
Find the equation of the line that
passes through the point (6, -1)
and is parallel to the graph of
Y
2
y = x −1.
3
5.
6
4
Find the equation of the line that
is perpendicular to the graph of
y=
5
x + 7 , and whose
2
2
0
-6
-4
-2
0
2
4
6
-2
y-intercept is -4.
X
-4
-6
Page 1 of 3
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Algebra
12.
13.
14.
15.
Unit 5
Draw a properly labeled scatter
plot for the data in the chart
below:
# of Years
after 1950
# of tornadoes
0
201
5
593
15
897
20
654
30
866
35
684
40
1133
45
1234
Review Assignment
Competency 4: D.P. #1
16.
Find the slope of the line through
(5, -1) and (6,0).
17.
Find the x and y intercepts of the
equation 4x + 2y = 6.
18.
Find the slope and y-intercept of
the graph of x – 3y = 7.
19.
Graph 3x – 2y = 8.
20.
If f (x) = −3x + 12, find f   .
 1
 3
Competency 5: D.P. #2
3x − 1
+2=6
4
21.
Solve:
For the scatter plot in #12, draw
a line of best fit and then find the
equation of this line
22.
Use the scatter plot and the
equation of the best fit line to
predict the number of tornadoes
in 2015, if the trend continues.
Use the formula I = prt, to find
the principal (p), if the interest (I)
earned was $60 for 1 year (t) on
a 12% (r) investment
23.
If you randomly select two
numbers from {6,7,8}, what is the
probability that the product of the
two numbers is even? A number
can only be used once in the
product.
24.
If there are 3 ways to get from
Phoenix to Flagstaff, and 2 ways
to get from Flagstaff to the
Grand Canyon, how many
different routes are there from
Phoenix to the Grand Canyon?
25.
Determine if thr point (4, -1) is on
the graph of 5x -2y = 22. Justify
your answer.
Graph f(x) = 2x – 3 and
g(x) = 2x + 2. Then describe the
transformation from f(x) to g(x).
Page 2 of 3
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Algebra
Unit 5
Review Assignment
19.
Answers:
3
x+2
2
1.
y=
2.
3.
y = -2x + 1
x = -4
4.
y=
6
4
2
2
x+5
3
2
y =− x−4
5
5.
6.
7.
8.
9.
10.
11.
12.
2
4
6
-2
-4
-6
Tornado Activity
1400
1200
1000
800
600
400
200
0
10
0
-6 -4 -2
3x – y = 7
x – 5y = -11
6x – y = -18
y=2
x + 4y = -5
negative correlation
13.
0
y
20
30
40
20.
11
21.
x=
22.
23.
24.
25.
$500
1
6 routes
The amount you earn is the
dependent variable.
17
3
50
# of Years after 1950
14.
15.
16.
17.
(estimate-answers may vary)
y = 15.9x + 400
(with calculator, y = 16.7x + 386)
estimate: 1434 tornadoes
(1472 with calculator)
m =1
x-intercept is
3
,
2
y-intercept is 3
18
m=
Page 3 of 3
1
7
and b = −
3
3
© Mastery Mathematics
update
x