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Algebra II
Exam Review II
Name ______________________
1.
Name the sets of numbers to which each number belongs:
(Natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers)
a. 100
b. 12
c. 2.25
2.
Name the property that is illustrated in each statement.
1
a. (x+4) + 5 = 5 + (x + 4)
b. 5  = 1
5
c. 2(4x – 3) = 2(4x) – 2(3)
Simplify:
3.
3(-2)3 –5(-6)
4.
5 + 3(2-122)
5. 6 + 8  2 
1
– 10
4
Solve and graph on the number line: Write answer in set builder notation.
6. 5 – 2x < 7x – 13
7. x + 8  0 or –7x  14
8. –3 > 2n – 9 > -7
9.
–2 < 5 -
1
1
h and 5 - h  -4
3
3
12. 2 2 x  5  8  24
10. 8 < 5 – 3y or 5 – 3y  14
13.
x2 6
11. 3x – 4  -1 or x – 1  0
14.
3x  2  10
15. Name the slope of the line.
Write the equation of each line.
16.
17.
18.
Solve each system of equations. (You may solve by hand or using inverse matrices.)
20. 3x – y = 0
21. 3x + y = 7
22. 5x + 4y = 12
x – y = -2
6x + 2y = -5
7x – 6y = 40
.
23.
x + y + z = -4
2x – y + 3z = 1
3x + 2y – z = 4
Graph.
24. 6x – 3y = 0
2x + y = 4
25.
x + y > -2
3x – y > -2
26. y = x  3  2