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Algebra Review

                               SHOW ALL WORK!!!!!

Name:                                                   Date:

                                                        Answer Column

Simplify the following expressions.

1.   4[62 – 3(2 + 5)]  12 + 3                          1.




2.   (a + b)(b – a)2 – a + b     when a = 3 and b = 6   2.




3.   3(2 – x) – 2(3 – x)                                3.
4.   Simplify the expression for the perimeter of the   4.
     triangle below.




Solve the following equations.

     2
5.     x + 4 = −2                                            5.
     3




6.   9(−5 − a) = −10 − 2a                                    6.




      2
7.   − w = 70                                                7.
      3
8.    Find the slope of the line in the graph below.                 8.




State whether these lines are parallel (Yes or No).
                             1
9.    y = 3x + 2         y= x+4                                      9.
                             3




10.   3y = 15x + 4       y = 5x + 1                                  10.




11.   Write an equation in slope-intercept form of the line below.   11.
12.   Write an equation in slope−intercept form of the line            12.
      that passes through the given points.

                     (−5, 3) and (−1, −5)




13.   Which of the following lines are perpendicular?                  13.

                    1                                 1
      line p: y =     x+2          line q: y = 5x −       line r: y = −5x + 3
                    5                                 2




14.          Graph the following line.

                                                 2
                                            y=     x+2
                                                 3
15.   Graph:      y  x −1




16.   Simplify:                                    16.

                                       (3y)(3y2)




17.   Simplify:                                    17.

                                       (-2n2)3




18.   Rewrite in decimal form:                     18.

                                 8.4162 x 10−2
19.   Rewrite in scientific notation:              19.

                                827.66




20.   Find the product:                            20.

                                (2x − 5)(3x + 7)

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Algebra review

  • 1. Algebra Review SHOW ALL WORK!!!!! Name: Date: Answer Column Simplify the following expressions. 1. 4[62 – 3(2 + 5)]  12 + 3 1. 2. (a + b)(b – a)2 – a + b when a = 3 and b = 6 2. 3. 3(2 – x) – 2(3 – x) 3.
  • 2. 4. Simplify the expression for the perimeter of the 4. triangle below. Solve the following equations. 2 5. x + 4 = −2 5. 3 6. 9(−5 − a) = −10 − 2a 6. 2 7. − w = 70 7. 3
  • 3. 8. Find the slope of the line in the graph below. 8. State whether these lines are parallel (Yes or No). 1 9. y = 3x + 2 y= x+4 9. 3 10. 3y = 15x + 4 y = 5x + 1 10. 11. Write an equation in slope-intercept form of the line below. 11.
  • 4. 12. Write an equation in slope−intercept form of the line 12. that passes through the given points. (−5, 3) and (−1, −5) 13. Which of the following lines are perpendicular? 13. 1 1 line p: y = x+2 line q: y = 5x − line r: y = −5x + 3 5 2 14. Graph the following line. 2 y= x+2 3
  • 5. 15. Graph: y  x −1 16. Simplify: 16. (3y)(3y2) 17. Simplify: 17. (-2n2)3 18. Rewrite in decimal form: 18. 8.4162 x 10−2
  • 6. 19. Rewrite in scientific notation: 19. 827.66 20. Find the product: 20. (2x − 5)(3x + 7)