Algebra 2 Chapter 1 Test

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CHAPTER
Algebra 2 Chapter 1 Test
/
pts
1
3
1.Order the numbers  2,  ,1.45,1.3 , 0 from least to greatest.
2
2.Identify the property demonstrated by the expression 3(5  6)  5(6  3).
3.Estimate
34 to the nearest tenth.
Simplify, keeping in radical form.
4.
5 7
6
.
5. 5 6  24
6. Simplify
 
3 x3
2
.
7.Evaluate 3y  5xy  x for x  4 and y  2.
8. Simplify 3x(5y  4)  2xy  10x  6x2.
9. Evaluate 53.
10. What are the coordinates of the point (1, 2) after a translation right 9 units and up 3 units?
3
 2x 4 y 7 
11.Simplify 
 . Assume all variables are nonzero. (2pt)
5
 x

12. Evaluate
2.0  10 7
. Write the answer in scientific notation. (2pt)
8.0  10 9
1
13. Simplify:
 3 
 . (2pts)

  22 


14. Give the domain and range for the relation. (2pt)
Number of Days in February
Year
Number
2000 2001 2002 2003 2004
29
28
29
28
29
15. Is the relation in #14 a function? Why or why not?
16. Evaluate f(x)  8  4x for f(0) and f(2). (2pt)
f(0) =
f(-2) =
17. A commuter has $75. Each day’s commute costs $3.50. Write a function to represent the
total amount the commuter has remaining after d days. What is the value of the function
for an input of 5, and what does it represent? (2pt)
18. Name the 4 parent functions you learned about in this chapter and complete the table
below: (8pts)
Parent Function
Equation
Sketch
L
Q
A
E
19. (3pts)
Graph the data from the table. Describe the parent function and the transformation
that best approximates the data set.
x
4
2
0
1
3
y
10
-2
-6
-5
3
20. Change machines charge a fee of $0.09 for every dollar of change turned into cash. The
fee is taken from the cash amount returned to the user. (4 pts)
a. Write a function that represents the amount returned in cash.
b. Sketch and label the function graph.
c. Identify the parent function for this function.
d. What amount is returned from $21.91 of change converted to cash?
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