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:
