CP -Algebra 1
Unit 3 Student Targets
3.1 Big idea: Write and graph linear equations in slope-intercept form
Target
Example
1.
I can solve a literal equation for a specific
variable.
1.
Rewrite the equation so that y is a function of x
a. y  3  x
b. 2 y  x  6
c. 4x  8 y  16
2.
I can identify slope and y-intercept.
2.
Identify the slope and y-intercept of the equation.
1
a. y  x  5
2
b. 6x  3 y  9
3.
I can graph an equation using slope–intercept
form.
3.
Graph the following equations.
2
a. y   x  1
3
b. 6x  2 y  4
4.
I can use the graphing calculator table to graph
a linear equation
4.
5.
I can write the equation of a line in slopeintercept form given the slope and y-intercept.
5.
6.
I can write the equation of a line in slopeintercept form given a point and a y-intercept
or a graph.
I can write the equation of a line as a linear
function.
I can translate word problems into a linear
equation and solve.
6.
1
2
Use a graphing calculator to create a table and graph the linear equation y   x 
4
5
1
Write the equation of a line with m= and a y-intercept of 8
2
Write the equation of the line that passes through the points 0,5 and  2,3
7.
Write an equation for the linear function f with values f 0  6 and f 7  22
8.
A landscape company charges a flat rate of $30 to deliver mulch. The mulch costs $23 per cubic yard.
Write an equation that gives the total cost (in dollars) of having mulch delivered to your house as
function of the number of cubic yards.
9.
I can write the equation of a line in slopeintercept form given a point and the slope.
9.
Write an equation of the line in slope-intercept form that passes
through the point  2,4 and has a slope of 3.
10.
I can write the equation of a line in slopeintercept form given two points or a graph.
10.
a. Write an equation of the line in slope-intercept form that passes
through the points 3,1 and  4, 3 .
7.
8.
b. Write the equation of the line shown to the right.
11.
I can write the equation of a line as a linear
function.
11.
Write an equation for the linear function f with values f 3  6 and f 7  22 .
3.2 Big idea: Write and graph linear equations in point-slope form
12.
I can write the equation of a line in SLOPEINTERCEPT form by first using point-slope
form, given a point and a slope.
12.
13.
I can write the equation of a line in SLOPEINTERCEPT form by first using point-slope
form given two points or a graph.
I can graph an equation in point-slope form.
13.
14.
14.
Write the equation of a line in slope-intercept form by first using point-slope form that passes
3
through the point  6, 3 and has a slope of 
4
Write the equation of a line in slope-intercept form by first using point-slope form of the line
that passes through the points  2, 3 and  4, 1
Graph the equation y  1 
5
 x  4
4
3.3 Big idea: Write and graph linear equations in standard form
15.
I can write the equation of a line in standard
form given a point and the slope.
15.
16.
I can write the equation of a line in standard
form given two points or a graph.
I can translate word problems into a linear
equation and solve.
16.
17.
18.
Given the equation of a linear function in
standard form, I can calculate the intercepts
and graph.
17.
18.
3
2
Write an equation in standard form of a line that passes through the points 1,5 and  2, 1
Write the equation of a line in standard form through  2,2 with a slope of 
a. You are taking karate lessons that cost $15 a month. In addition, you need to purchase a
uniform for your classes. If you paid a total of $108 after 6 months (for classes and a uniform),
write the equation that gives the total cost (in dollars) as a function of the length of time you
have been taking classes (in months).
b. Your cell phone plan charges you $.02 to send a text message and $.07 to receive a text
message (your parents haven’t let you have unlimited yet). You plan to spend exactly $5 a
month on text messages. Write an equation that models the possible combinations of sent text
messages and received text messages.
Calculate the x-intercept and the y-intercept of the graph of 2x  3 y  12 . Then graph.
3.4 Big idea: Arithmetic Sequences
19.
I can identify an arithmetic sequence.
20.
I can identify the common difference of an
arithmetic sequence.
21.
I can graph an arithmetic sequence.
19.
State whether the following sequences are arithmetic. If so, find the next 2 terms.
a. 6, 2,  2,  6,  10,...
b. 1, 2, 4, 8, 16,...
20. State whether the following sequence are arithmetic. If so, find the common difference.
7
9
2
2
b. 1,  3,  7,  11,...
a. 3, , 4, , 5,...
21. Graph the sequence 2, 1, 4, 7, 10,...
22.
Given an arithmetic sequence, I can write an
explicit rule.
22. a. Write an explicit rule for the sequence 8, 3,  2,  7,...
b. Find a50 for the sequence above (part a)
c. Write an explicit rule for the sequence given a13  10 and d  3 .
d. Identify the y-intercept for the explicit rule above (part c).
3.5 Big idea: Compare and contrast the forms of linear functions
23.
I can determine the most efficient way to write
the equation of a linear function based on the
given information.
23.
EXPLAIN which form of writing linear equations is most efficient given the following
information. You do not need to write the equation!
a. Slope =-4 and through point 0, 3
b. through points  1,4 and 6, 2
c. through points f 2  8 and f 0  10
24.
I can rewrite the equation of a linear function
into equivalent forms.
24.
Given the equation y  2 
1
 x  6 , first write the equation in slope-intercept form and
2
then rewrite in standard form.
Target Solutions
yx3
1a.
y  12 x  3
1b.
2a.
2b.
y  12 x  2
m  12 , b   5
m  3, b  2
5.
6.
y  12 x  8
yx5
7.
f  x 
8.
f  x   23x  30
y  3 x  10
y   4 x  13
y  32 x  5
1c.
9.
10a.
10b.
11.
12.
13.
16
7
15.
16.
17.
18.
19a.
19b.
20a.
20b.
x y  1
2x  y   3
y  15 x  18
x-int (6, 0), y-int (0,-4)
arithmetic -14, -18
not arithmetic
arithmetic d =  12
arithmetic d = -4
22a.
22b.
an   5n  13
a50   237
22c.
22d.
23a.
23b.
23c.
24.
an  3n  29
(0, -29)
y-intercept form
point-slope form
y-intercept form
y  12 x  1 and 12 x  y  1
x6
f  x   4x  6
y   3x  5
y  13 x  73
3
2