And a few other things:
1. . Simplify these
" 2 % (3
a. $ ' =
# 3&
b.. (2-3)(32)(8)(6-1)=
e. 81-3/4
" 1 %3
$x 4 '
f. $ 1 '
$ 6'
#x &
c. log 3
1
=
81
g. lne 5 =
!
d. log10,000 =
h. log1/ 2 32 =
!
2.
a.
b.
c.
The equation of a line Given these
! two points A = (-2,3)
! and B = (4,-1)
Find the distance between A and B. State the answer in reduced radical form.
Determine the slope of the line through A and B.
Write the equation of the line determined by A and B in slope-intercept form.
(y = mx+b)
d. Write an equation of a line perpendicular to the line in part c which goes through the
origin.
e. Sketch the points and both lines in parts c and d on this coordinate system:
3. A linear inequality: Determine all solutions to this inequality | 2x-4 | < 2
a. Solve and state the solution
b. Graph the solution
---|----|----|----|----|----|----|----|----|----|----|----|----|---|----|----|----|----|----|---0 1
4. Graphing transformations: Given this graph of y = |x|, use the shifting techniques to
draw each of the following:
y = |x|
y = -|x|+1
y = |x-3|
y = |x+2|-3
5. The number line: Determine the value of each letter and place the letter at the correct
position on the number line. Draw a dot and write the letter.
A = 82/3 = _________
B= !
3/ 8
3/4
= __________ C =
3
!27 =__________
1
2
D=
E = (2-5)0 = ________________
2 1
+
3 6
----|----|----|----|----|----|----|----|----|----|----|----|----|---|----|----|----|----|----|----1
0
1
2"
! 6. Logs and exponents: solve for a, b, c, x, y, z
log 5 a = 3
!
log b 16 = 2
log 4 1 = c
!
811/ 4 = x
y 3 = 64
5 z = 625