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COMPASS Algebra Practice Test 5. This practice test is 10 items long. Record your responses on a sheet of paper. The correct answers are on the slide after the last question. Complete solutions follow the answer slide. Click the mouse or use the spacebar to advance to the next question.
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COMPASS AlgebraPractice Test 5 • This practice test is 10 items long. • Record your responses on a sheet of paper. • The correct answers are on the slide after the last question. • Complete solutions follow the answer slide. • Click the mouse or use the spacebar to advance to the next question.
¡ A. ¡ B. ¡ C. ¡ D. -3 ¡ E. 3 1. What is the value of when x = -5?
¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 2. Simplify
3. In the figure below what is the distance between point A and B? ¡ A. 11 ¡ B. 10 ¡ C. ¡ D. 9 ¡ E.
4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)? ¡ A. 9 ¡ B. 10 ¡ C. ¡ D. 14 ¡ E.
¡ A. -18 ¡ B. ¡ C. 9 ¡ D. ¡ E. 5. 27 -2/3 = ?
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)
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
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)
¡ 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?
10. For all x and y, (x + 2y)2 - 4y(x + y) = ? ¡ A. x2 ¡ B. x2 - 4xy ¡ C. x2 - 2xy ¡ D. x2 + 8y2 ¡ E. (x + 4y)(x - 4y)
E E E B E D B E C A Answers Algebra Practice Test 5
¡ A. ¡ B. ¡ C. ¡ D. -3 ¡ E. 3 1. What is the value of when x = -5?
1. What is the value of when x = -5? Substitution, watch the signs Spend enough time on simple problems to insure that you have it correct. Answer E
¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 2. Simplify
2. Simplify Answer E Now find a common denominator.
3. In the figure below what is the distance between point A and B? ¡ A. 11 ¡ B. 10 ¡ C. ¡ D. 9 ¡ E.
3. In the figure below what is the distance between point A and B? Use the Pythagorean Theorem. 4 7 Answer E
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.
4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)? 6 If you do not like the distance formula you can use the Pythagorean Theorem. 8 10
¡ A. -18 ¡ B. ¡ C. 9 ¡ D. ¡ E. 5. 27 -2/3 = ?
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)
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) ¡ 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)
-3 -2 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 -2.4
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)
¡ 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?
¡ 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) = ?