Download CAHALG Exam 8

CAHSEE Algebra Chptr 8: Radicals & Quad Equations
page 1 of 4
Evaluate.
144
81
1.
4  1 0 0
4
2.
2
3.
16
3  2 5
4.
5
36
7. Multiple choice: Simplify
8. Simplify
4
5.
25 x16
49
6.
a. 5
x
4
b. 5
x
8
c. 5
x10
9. Circle the numbers which are perfect squares { 90, 144, 9, 25, 50, 88, 49}.
10. True or False:
________ (i) The numbers 3/4 and 12.4 are rational numbers.
________ (ii) The numbers
11. Multiple Choice: The number
25
and
3 6
50
are both irrational numbers.
.....
a. equals -6
b. equals 6 or -6
c. equals 6
d. does not exist
12. Multiple Choice: Which number is irrational?
a.
81
b. -18
c. 7/9
13. Multiple Choice: Solve for x. What are the solutions?
5
x
2
= 45
d.
60
x
14
CAHSEE Algebra Chptr 8: Radicals & Quad Equations
page 2 of 4
2
Change the equations below into the following form: a x  b x  c  0
14.
x
2
+ 5x + 13 = 2x + 1
16. Fill-in the Blank: The value of
15.. 2
41
x
2
+ 3x = 55
is
between the consecutive integers
and
.
17. Matching: Which example matches each vocabulary word?
A. Irrational numbers
_____
B. Integers
_____
C. Rational numbers
_____
D. Whole numbers
_____
18. Which of the 5 numbers below are rational numbers?
24
90
8.4
44
19. Which of the 5 numbers above are integers?
____________________
-18
____________________
2
20. Multiple choice: What are the solutions for the equation x + 6x = 16 ?
a. -2 & -8
b. -2 & 8
21. Multiple Choice: What is the domain and
range of the graph at right?
a. -5 ≤ x ≤ 5,
4≤y≤5
b. -5 ≤ x ≤ 5,
1≤y≤5
c. 0 ≤ x ≤ 5,
1≤y≤5
d. 0 ≤ x ≤ 5,
4≤y≤5
c. 2 & -8
d. 2 & 8
CAHSEE Algebra Chptr 8: Radicals & Quad Equations
page 3 of 4
The Quadratic Formula states that the solutions
2
to the equation a x
b  b  4 a c
2
 b x  c  0
are:
22. Identify the a, b, and c values for the equation
23. Put the quadratic equation 3
values.
x2
2a
x=
x2
+ 5x – 3 = 0 .
– 7x + 7 = -3 in standard form and identify the a, b, and c
24. Multiple Choice: Use the quadratic formula to
find the solutions to the equation
7 
7  1 7
a.
2
b.
2
x2
+ 7x + 4 = 0
32
2
7 
c.
17
4
7 
d.
4
x2
25. Multiple Choice: Find the solutions to the equation
– 3x – 10= 0
a. 5 or -2
b. 1 or -1
c. 2 or 7
5 
8
2
26. Multiple Choice: Describe the type of solutions:
a. 2 rational solutions
c. 2 irrational solutions
b. 1 rational solution
d. no solutions
27. Multiple Choice: Solve the
equation
x2
a. 1 or -1
b. 2 or 7
c. 7 or -1
d. 1 or 2
– 9x = -14
d. 1 or 5
32
CAHSEE Algebra Chptr 8: Radicals & Quad Equations
page 4 of 4
Complete the x,y charts for the following
equations.
29. y = 2
x2
+1
30 y =
32. Which type of equation has a
graph of a parabola?
a. linear equation
b. quadratic equation
c. cubic equation
(i) {0, 1, 2, 3, 4, 5, 6,...}
x2
+ 3x
CAHSEE Algebra Chptr 8: Radicals & Quad Equations
page 5 of 4
(ii) Its decimal expansion is infinite with no pattern.
(iii) It can always be written as a fraction.
(iv) {....-3, -2, -1, 0, 1, 2, 3,....}
a. x = -3
b. x = 3 or -3
c. x = 9 or -9
d. x = 9
BONUS: Simplify
Complete each step!
x 1 1 x 1 2
4
5
x 
=
x2
31. Graph y =
– 2 using
the integers from -3 to 3 as your domain.
Connect the points below completing the graph.
33. True or False: The range of the function is y ≤ 8.
34. What is the equation of the graph above?
a. y =
x2
b. y = 8
x
c. y = 8 –
d. y =
x2
+2
2
x2
–4
28. Multiple Choice: Describe the type of graph and provide its equation.
a. It is a linear graph,
y = 3x
b. It is a quadratic graph,
y=
x2
c. It is a cubic graph,
y=
x3
CAHSEE Algebra Chptr 8: Radicals & Quad Equations
page 6 of 4
-2
-1
0
1
2
x
y
-3
3
Name: __________________________
Date: __________ Row: ____ Per: ____
MHS, 2008-09