Download Review - Coweta County Schools

• How do I work
with absolute
values?
Rewrite the absolute value equation as two linear equations.
1.
2.
3x  2  14
3

 x  1  9
4

Write in words what the absolute value equation means.
3.
x  5  3
4.
3x  9  12
5.
4x  1  5
Solve each absolute value equation.
6.
x  11  17
7.
2  3x  8
Solve each absolute value equation.
8.
8x  1  23
Solve each absolute value equation.
9.
25  54x  3
Solve each absolute value equation.
10.
17  32x  7  4
Solve each absolute value equation.
11.
2
3x  4  15  7
5
Rewrite the absolute value inequality as a compound inequality.
12.
x  3  9
13.
2x  5  8
Write in words what the absolute value inequality means.
14.
x  7  3
15.
2x  8  10
16.
3x  1  5
Solve each absolute value inequality and graph the solution on a number line.
17.
x  9  4
Solve each absolute value inequality and graph the solution on a number line.
18.
3  2x  11
Solve each absolute value inequality and graph the solution on a number line.
19.
7x  2  16
Solve each absolute value inequality and graph the solution on a number line.
20.
23x  2  11  7
Solve each absolute value inequality and graph the solution on a number line.
21.
5x  2  7  4
For the function (a) Tell whether it opens up/down, (b) Identify the vertex, and
(c)
whether the function is wider, narrower, or the same width as the graph of y = |x|.
22.
y  3x  1  8
a. _____________________
b. _____________________
c. _____________________
23.
1
y  x  7  2
3
a. _____________________
b. _____________________
c. _____________________
Graph each absolute value function. Then answer each of the following:
a. Identify the vertex
b. any reflections
c. vert. stretch/shrink (s.f.)
d. vert/horiz. shift
e. inc/dec
f. y-intercept
g. zeros
24.
f
x x  5  1
a._______________________________
b._______________________________
c._______________________________
d._______________________________
e._______________________________
f._______________________________
g._______________________________
Graph each absolute value function. Then answer each of the following:
a. Identify the vertex
b. any reflections
c. vert. stretch/shrink (s.f.)
d. vert/horiz. shift
e. inc/dec
f. y-intercept
g. zeros
25.
f
x 2x  3  5
a._______________________________
b._______________________________
c._______________________________
d._______________________________
e._______________________________
f._______________________________
g._______________________________
Graph each absolute value function. Then answer each of the following:
a. Identify the vertex
b. any reflections
c. vert. stretch/shrink (s.f.)
d. vert/horiz. shift
e. inc/dec
f. y-intercept
g. zeros
26.
1
f
x  x  2  4
2
a._______________________________
b._______________________________
c._______________________________
d._______________________________
e._______________________________
f._______________________________
g._______________________________
Evaluate the piecewise function when x = 3, x = 0, x = 2.
27.




2x  4, if x  1

f
x 




 3  x, if x  1
Evaluate the piecewise function when x = 3, x = 0, x = 2.
28.




5x  2, if x  0

f
x 




4  2x, if x  0
Evaluate the piecewise function when x = 3, x = 0, x = 2.
29.




2x, if x  2







f
x 
x  3, 2  x  1








5  x, if x  1


Evaluate the piecewise function when x = 3, x = 0, x = 2.
30.




3

4x,
if
x

1







f
x 
x, 1  x  0








5x  2, if x  0


Graph the piecewise function. Find the x-coordinate for which there are points of
discontinuity.
31.




x  3, if x  2

f
x 




x  1, if x  2
Graph the piecewise function. Find the x-coordinate for which there are points of
discontinuity.
32.




2x  3, if x  3

f
x 




 3  x, if x  3
Graph the piecewise function. Find the x-coordinate for which there are points of
discontinuity.





1


x  3, if x  2

x 
2
33. f 




if x  2



2x  2,
Graph the piecewise function. Find the x-coordinate for which there are points of
discontinuity.




x  4, if x  3







f

x


2, if  3  x  1

34.








x  3, if x  1


Write a piecewise function for the step function shown.
35.
Write a piecewise function for the step function shown.
36.
Write a piecewise function for the step function shown.
37.
Write the function as a piecewise function.
38.
f
x x  5  2
Write the function as a piecewise function.
39.
f
x x  2  1
Write the function as a piecewise function.
40.
f
x 2x  5  6
2.Rev
Absolute Value
Chapter 2 Review Worksheet