Lesson Basic Algebra Practice Final

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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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