Download Algebra

Algebra 1
Name: _______________________________________
Hour:
June 2014
Semester 2 Final Exam Review
Directions:
Show all your work to receive full credit.
The question numbers that are circled should be completed without a calculator.
Chapter 10:
1.)
Multiple Choice: How would you translate the graph of
A. Translate the graph of
y  x 2
B. Translate the graph of
y  x
2
left 4 units
y  x
2
up 4 units
2
down 4 units
C. Translate the graph of
D. Translate the graph of
y  x
y  3 x 2
y  x 2
to produce the graph of
right 4 units
2.)
Graph the function.
3.)
Describe how the graph of each function below compares to the graph of
a.)
1 1
y  0.5x 2
b.)
y  x2
4.)
How should the graph of
5.)
Find the vertex and the axis of symmetry of the parabola.
6.)
Graph the quadratic equation y  3x 2  6 x  9 .
Identify the vertex, y-intercept, and the zeros of
the function when you graph the function.
y  x2 .
y  9x 2
change in order to produce the graph of
y  x2  8 ?
y  2x 2  4 x  6
1
1
y  x 2  4
?
Algebra 1 Review
7.)
page 2
y  x 2  4 x  4
Multiple Choice: Which graph below represents the quadratic equation
List the solution(s) to the equation  x 2  4 x  4  0 :
A.
8.)
B.
49 49
,
36 36
B.) 
36 36
,
49 49
C.) 
6 6
,
7 7
7 7
,
6 6
b.) x 2  3  17
c.) 4 x 2  120  120
Solve each equation. Round the solutions to the nearest hundredth.
a.) 5x 2  75
b.) 7x 2  4  100
11.)
Solve the equation by completing the square. x 2  6x  3  0
12.)
Find the value of c that makes the expression a perfect square trinomial.
c.)
3x  6 2  33
b.) x2  22x  c
a.) x 2  18x  c
13.)
D.) 
Find all solutions to each quadratic equation
a.) x 2  9
10.)
D.
Multiple Choice: Find all solutions to the quadratic equation. 49x 2  36  0
A.) 
9.)
C.
Use the Quadratic Formula to solve the equation. Round your solution to the nearest hundredth, if necessary.
a.) x 2  2x  1  0
b.) 2x2  x  1
c.) 3x 2  x  3  0
Algebra 1 Review
page 3
14.) Multiple Choice:
Use the discriminant to find the number of real solutions to the equation 3x 2  3x  4  0 .
A. No real solutions
B. Not Enough Information
C . Two real solutions
D. One real solution
15.) Use the discriminant to determine the number of real solutions of each equation.
a.) 2x 2  6x  2  0
b.) 4x 2  3x  7  0
c.) 5x 2  3x  1  0
d.) 9x 2  30x  25  0
16.) Multiple Choice: The table gives the number of inner tubes, I, sold in a bike shop between 1985 and 1990.
Determine which model best fits the data.
Year, t
Inner tubes, I
1985
40
1986
56
A. Absolute Value
B. Exponential
1987
72
1988
88
1989
104
C. Linear
D. Quadratic
In 17-23, a.) Tell whether the table of values represents a linear, exponential, or quadratic function.
b.) Write an equation for the function.
17.)
x
y
–2
–1
4
9
4
3
18.)
x
y
–2
1
–1
7
19.)
x
y
–2
11
–1
10
20.)
x
y
–1
3
0
0
21.)
x
y
0
–5
1
–2
22.)
x
y
1
1
2
2
23.)
x
y
–2
18
–1
14
0
4
1
12
2
36
0
13
1
19
2
25
0
9
1
8
1
3
2
12
3
27
3
4
4
7
2
1
3
4
0
10
2
7
4
8
5
16
1
6
2
2
1990
120
Algebra 1 Review
page 4
Chapter 11
2.) Graph the function f (x)  x  1
1.) Graph the function f (x)  x  1
Domain: ____________ Range: ____________
Domain: ____________ Range: ____________
1
1
1
1
3.) Graph the function y  x  2  3
4.)
Domain: ____________ Range: ____________
Graph the function y  x  3  2
Domain: ____________ Range: ____________
1
1
1
1
5.) Simplify:
10  4
a.)
200
b.)
20
c.)
d.)
6  20
e.)
9
4
f.) 7 6  8 6  3 6
g.)
32  72
h.)
5
5
i.) 5 5  3 36  2 80
Algebra 1 Review
page 5
6.) Solve each equation. Check for extraneous solutions.
a.)
x  3  6
b.)
x 8 8  2
c.)
6 x  4  25
d.)
x  72  x
e.)
2x  7  5
f.)
1  2x  4
g.)
2x 2x
h.) 5 x  30  0
i.) 2x  1  5x  32
7.) Multiple Choice: Find the midpoint of (4, 16) and (9, –2).
A.
 5 17 
 , 
 2 2 
D. 13 ,  14 
B.
13 ,14 
 13

E.  , 7 
 2 
C.

7
10 , 
2

F.
 5

  ,  9
 2

8.) Find the midpoint of (2, –2) and (–2, –14).
9.) Find the distance between the two points.
a.) (–4, –2), (2, 3)
b.) (–5, 3), (4, –1)
10.) Find the distance and the midpoint of the segment with endpoints
C(8,4) and G(2,3) .