2. COMPASS Practice Test E Algebra Stuff This PowerPoint presentation will present 10 sample problems with answers. You can save this file to your computer and use it offline if you have PowerPoint installed on your computer.

3.  A.  B.  C. E1. What is the value of when x = -5?  D. -3  E. 3

4. E1. What is the value of when x = -5? Answer E

5. E2. Simplify  A.  B.  C.  D.  E.

6. E2. Simplify Answer E

7. E3. In the figure below what is the distance between point A and B?  A. 11  B. 10  C.  D. 9  E. A B

8. E3. In the figure below what is the distance between point A and B? A B Use the Pythagorean Theorem. 4 7

9.  A. 9  B. 10  C.  D. 14  E. E4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)? Use the distance formula.

10. E4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)? If you do not like the distance formula you can use the Pythagorean Theorem. 6 8 10

11. E5. 27 -2/3 = ?  A. -18  B.  C. 9  D.  E.

12. E6. The parabola below is a graph of which equation? (-2, 4) (-4, 0) (0, 0)  A. y = (x - 2) 2 + 4  B. y = (x + 2) 2 + 4  C. y = -(x - 2) 2 + 4  D. y = -(x + 2) 2 + 4  E. y = x 2 + 4x + 8

13. Plug (-2, 4) into choice C y = -(x - 2) 2 + 4 4 = -(-2 - 2) 2 + 4 4 = -(-4) 2 + 4 4 = -16 + 4 4 = -12 False E6. The parabola below is a graph of which equation? (-2, 4) (-4, 0) (0, 0) Because the parabola points down we know that the x 2 term will be negative. (Negative Frown Face)  C. y = -(x - 2) 2 + 4  D. y = -(x + 2) 2 + 4 Plug (-2, 4) into choice D y = -(x + 2) 2 + 4 4 = -(-2 + 2) 2 + 4 4 = -(0) 2 + 4 4 = -0 + 4 4 = 4 True

14. E7. The solution of the equation below falls between what two integers? 2x + 8 = 7x + 20  A. -4 and -3  B. -3 and -2  C. -2 and -1  D. 1 and 2  E. 2 and 3

15. E8. What is the solution of the system of equations below?  A. (3a, 2a)  B. (-3a, 2a)  C. (15a, 11a)  D. (15a, -11a)  E. (3a, -2a)

16.  D.  E. E9. What is the slope of the line in the standard coordinate plane determined by the equation 2x - 3y = 12?  A.  B.  C.

17. E10. For all x and y, (x + 2y) 2 - 4y(x + y) = ?  A. x 2  B. x 2 - 4xy  C. x 2 - 2xy  D. x 2 + 8y 2  E. (x + 4y)(x - 4y) (x + 2y) 2 - 4y(x + y) =(x + 2y)(x +2y) - 4xy - 4y 2 = x 2 + 4xy +4y 2 - 4xy - 4y 2 = x 2

18. The End Compass E