Algebra 2
Name
Unit 4 Review
Date
FactorAND Check! What are the factors?
l)
9x2
-
2) 25x2+20x+4
r44
3) 3x2-5x-12
5)
8x2
4) -5x4
- 35x2
-I2x-8
Solve.
6) You want to build a storage shed so that
the base of the shed will cover 88 square
feet. You want the length of the
rectangular barn to be 3 feet longer than
its width. What will the leneth and width
be ofthe barn?
Graph.
(q. x<o
lx. x<0
t'l"-3,xzo
7\l
'(x',x)0
Find the solutions.
9) The graph below shows the functions
f(*) = -*' + 2 and s(i = -2. what are
the solutions to
/(x) =
gIx)Z
-l-
Period
Solve.
x 8'x
0 100
10) Two quadratic functions, f(x) and SG),
are described below. The quadratic
equation
/(x)
has the equation
"f(*) = -3x2 + l2x + 28. The quadratic
function S(") trur the table of values
shown in question #11. How much
greater is the maximum value of g(r)than
the maximum value of f(x)?
0.5
t 1)
T
1.s
102.s
IO4
104.5
2 104
2.s 102.5
3 100
Solve
12)
3x2
-10x-8=0
13) l2x2 = IJx + 5
Solve.
14) At what POINTS do the two equations
4x+y+8=3x+6
and
!=-x2
l5)
intersect?
16) At what x values do the two equations
f(*) = *' - 8* + 13 and
g(r) = -*' + 4x - 3intersect?
Solve the system of equations shown
below.
!=x2 +3x-I
1t-x=7
17) The quadratic function /(x) is graphed
below. The quadratic function g(x) is
given ut S(t) : -x2 + 4x - 3. For each
function, find the vertex, state the max or
min value, find the y-intercepts, find the
x-intercepts, and state the axis of
symmetry. You must then write 3
sentences comparing the max or min
values, the y-intercepts, and the
x-intercepts of the two functions.
z