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Math Practice Test - Solve Geometry and Algebra Questions

Test your math skills with geometry and algebra questions. Find distances, solve equations, and identify parabolas. Practice and improve your math knowledge.

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Math Practice Test - Solve Geometry and Algebra Questions

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  1. COMPASSPractice Test 14

  2. ¡ A. ¡ B. ¡ C. ¡ D. -3 ¡ E. 3 1. What is the value of when x = -5?

  3. 1. What is the value of when x = -5? Answer E

  4. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 2. Simplify

  5. 2. Simplify Answer E

  6. A B 3. In the figure below what is the distance between point A and B? ¡ A. 11 ¡ B. 10 ¡ C. ¡ D. 9 ¡ E.

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

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

  9. 4. 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

  10. ¡ A. -18 ¡ B. ¡ C. 9 ¡ D. ¡ E. 5. 27 -2/3 = ?

  11. 6. The parabola below is a graph of which equation? ¡ 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 = x2 + 4x + 8 (-2, 4) (-4, 0) (0, 0)

  12. 6. The parabola below is a graph of which equation? Because the parabola points down we know that the x2 term will be negative. (Negative Frown Face) (-2, 4) ¡ C. y = -(x - 2)2 + 4 ¡ D. y = -(x + 2)2 + 4 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 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 (-4, 0) (0, 0)

  13. 7. 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

  14. 8. 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)

  15. ¡ D. ¡ E. ¡ A. ¡ B. ¡ C. 9. What is the slope of the line in the standard coordinate plane determined by the equation 2x - 3y = 12?

  16. ¡ A. x2 ¡ B. x2 - 4xy ¡ C. x2 - 2xy ¡ D. x2 + 8y2 ¡ E. (x + 4y)(x - 4y) (x + 2y)2 - 4y(x + y) =(x + 2y)(x +2y) - 4xy - 4y2 = x2 + 4xy +4y2 - 4xy - 4y2 = x2 10. For all x and y, (x + 2y)2 - 4y(x + y) = ?

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