Complete Solutions to Practice Test -17-

1. Complete Solutions to Practice Test -17-

2. 1. What are the solutions to the quadratic equation Factor. You need two numbers that will multiply to 36 and add to -15. + 37 20 15 13 12 Now use the zero factor property. Answer C

3. 2. If for all x and y, , then Solve for b. Add b to both sides. Answer A

4. 3. For all Factor. Cancel. Answer B

5. 4. What is the value of the expression when Substitute and simplify. Answer A

6. 5. If then Radical Equation First isolate the radical. Subtract 4 from both sides. Square both sides to get rid of the radical. Subtract 5 from both sides. Divide by 5. Answer B

7. 6. For all Find the square root of x9. Each pair of (xx) inside represents one x outside. Choice D is the only answer that matches this result.

8. 7. If the ratio of 4 to b is 5 to 7 then b = ? Write the proportion as two equal fractions. Cross multiply. Divide by 5. Answer B

9. 8. Simplify When raising a power to a power multiply the exponents. Answer B

10. 9. Simplify Simplify the radicals. The common denominator is 3 Answer B

11. 10. Which equation best describes this graph? The y-intercept of the graph is (0, 3). This eliminates choices A and E. The point (0, 3) works in B, C, and D.

12. 10. Which equation best describes this graph? Try the point (-1, 4) in B. This eliminates choice B. Try the point (-1, 4) in D. This eliminates choice D.

13. 10. Which equation best describes this graph? Try the point (-1, 4) in C. Answer C

14. 11. For all B and C and A ≠ 0, if then Solve for x Subtract B Divide by A Answer D

15. 12. Simplify Simplify the radicals The common denominator is 15 Answer D

16. 13. If 25 is subtracted from the square of a certain number b the result is 11. Which of the following equations determines the correct value of b? Since the result is 11 we can expect the equation to = 11. Eliminate choices A, B, and C. The word “from” indicates that the equation will start with b2. Answer E or B

17. 14. For all x, Distribute the negative through the second parenthesis. Make sure you change all the signs. Combine like terms. Answer A

18. 15. If the reciprocal of a certain number x is added to the result is 2. What is x? If x is the number then the reciprocal of x is… Multiply by 3x to clear the denominators. Answer C

19. 16. Find the value of when Substitute x = 2 Answer C

20. 17. Which equation best describes this graph? Try the point (3, -4) in choice B. Verify choice A, try the point (3, -4) . The point (0, 5) does not work in choices C, D, or E. Answer A

21. 18 In the standard rectangular coordinate plane find the distance between (-3, 4) and (2 , -8). Use the distance formula. Answer B

22. 19 For all x, Answer E

23. 20. For all Answer E

24. 21. For all ¡ A. ¡ B. • C. • D. • E. Answer C

25. ¡ A. 14 ¡ B. 46 ¡ C. 54 ¡ D. -46 ¡ E. -54 2x3 – 3xy 2(-2)3 – 3(-2)(5) 2(-8) – 3(-10) -16 – -30 -16+30 = 14 22. If x = -2 and y = 5, what is the value of the expression 2x3 – 3xy ?

26. ¡ A. -12, -4 ¡ B. -8, -6 ¡ C. 6, 8 ¡ D. -6, 8 ¡ E. -8, 6 Set the equation equal to zero. x2 – 2x = 48 x2 – 2x – 48 = 0 Factor (x + 6)(x – 8) = 0 Write a solution set. x = {-6 , 8} 23. What are the solutions to the quadratic equation x2 – 2x = 48?

27. 24. For all x ¹ ±3, ¡ A. ¡ B. ¡ C. ¡ D. ¡ E.

28. 24. For all x ¹ ±3, Rational Expression Factor Cancel This is a match for D

29. 5y3 – 125y Factor out the common 5y 5y(y2 – 25) Difference of squares 5y(y + 5)(y – 5) 25. Which is the complete factorization of ¡ A. ¡ B. • C. • D. • E.