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BASIC ALGEBRA PRACTICE FINAL
FORM AA*
SHOW ALL WORK ON THIS TEST OR
ON SEPARATE PAPER. Circle answers.
TURN IN ALL WORKSHEETS.
CALCULATORS ARE PERMITTED ON THIS TEST.
1.
2. –3(2x – 5) = 7 – 4(x – 6)
3. If x=–5 and y=3,
find the value of x2
– y2.
4. The perimeter of a rectangle
5. A box contains $8.70 in quarters and
is 700
meters. The length is
dimes. There are a total of 42 coins.
10 less than
twice the width. How many of each are there?
Find the
length and width.
6. Solve for
x, and graph:
7. Multiply: (3x – 5)2
4 – 2(x – 5) ≤
4x – 16
In 8 - 10,
factor completely.
8. 12x2y
– 18xy2
9. y4 – 16y2
10. x2 – 16x + 48
11. Factor
by grouping: x3 – 2x2 – 49x
+ 98
12. Solve for x: x2
– 10 = 3x
13. Find x, where x is a
leg of a triangle
14. Simplify without negative exponents.

whose hypotenuse is 25 and whose
other leg is 24.
15.
16.
17.
18.
19.
Solve :
20.
Solve :
21.
Graph:
22. Graph: 3x – 2y = –6
23. Find the
slope, the x-intercept,
24. Find the slope between
and the y-intercept: 3x – 2y = –6
(5, –2) and (–3, 4).
25.
Solve the system: 4x – 3y = 9
26. Simplify:

x + 2y = –6
27.
Simplify:
28. Simplify:

29.
Simplify:
30. Simplify:
31. Calculate the value:

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