Download Algebra II Chapter 1 Test

Algebra II Chapter 1 Test
Name _______________________
Find the value of each expression:
1.  5
2. 2 5
3. 5  2
4. 5  2
Arrange each list of numbers in order from least to greatest:
3 1 1 1 3
6.  ,  , ,  ,
4 4 2 2 4
5. -1.6, -2.6, -0.6, -1.8
Use the symbols <, =, or > to make a true statement.
7. 32 42 ___(3 4) 2
8. (9 – 3) – 2 ___ 9 – (3 – 2)
9.
3 2
42
___
3 2
42
Evaluate each expression if x = 3, y = 2, and z = 5.
10. 2 x 2  x  2
11. ( xz  zy)3
12.
z2
y2

x y zx
Match each property to an example of it in algebraic form:
13. Commutative Property ____
a. (2 + 3) + 4 = 2 +(3 + 4)
14. Associative Property ____
b. a + 0 = a
15. Property of Opposites ____
c. 2 + 3 = 3 + 2
16. Identity Property ____
d. 4 + -4 = 0
17. Distributive Property ____
e. 3(2 + x) = 6 + 3x
Simplify by combining like terms:
18. 8c + 2(c + 3)
19. 4(3 – y) + 2(1 – y)
20. (-a)(-b) + 6(ab)(-1)
21. 4(2y 2 - 3) – 2(4 + y 2 )
Evaluate the expression
22. y = 1
y ( y  3)
for the following value for y
y2
23. y = 4
24. y = 3
Solve the equation for the given variable (get that variable on one side by itself)
25. 2x – 5y = 10 for x
26. y = mx + b for x
27 . a(x – b) = c + ab for a
Solve each story Problem(Show the equation used to find the answer for full credit!):
28. Amy has $8 less than Maria. Together they have $30. How much money does each
girl have?
Amy $_____
Maria $_____
29. A music dealer ran a sale of records and tapes. Records were reduced to $7 each and
tapes to $7.50 each. The dealer sold 60 more records than tapes for a total sale of $2160.
How many records the dealer sell?
30. The perimeter of a certain basketball court is 266 ft, and its length is 35 ft more than
its width. Find the Dimensions of the court.
Length _____
Width _____