MAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.41. Use the discriminant to determine the number and type(s) of solutions for 24 8 4 0x x- + =.A. One real solutionB. One complex solution of the form a bi+.C. Two real solutionsD. Two complex solutions of the form a bi�2. Simplify: 140-.A.2 35B. 2 35-C. 2 35i-D. 2 35i3. Find the area of a square with a side of 6 3 cm. A. 108 cm2B. 36 3cm2C. 324 cm2D. 18 cm24. If 2( ) 3 and ( ) 12 1, where is ( ) ( )?f x x g x x f x g x= =- - =A. 12 333- �B. 6 393- �C. 6 333- �D. 6 336- �5. Evaluate and write the answer in standard form:9 75ii++.A. 5 i-B. 2 i+C. 524 24i+D. 1 713 26i+Page 1 of 8MAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.46. What is the equation of the graph shown below? You may assume that each tick mark represents one unit.A. 2( 3) 2y x=- + -B. 2( 3) 2y x=- + +C. 2( 3) 2y x= + -D. 2( 3) 2y x= + +7. What is true of 2( ) 2 4?f x x x= + +A. The y-intercept is(0, 4)-.B. It is a parabola that opens downward.C. The vertex is at (2,4).D. ( )f x has no real roots.8. Simplify: ( 10 2 16) ( 2 2 4)- + - - - - -.A. 8 12i- +B. 8 4i- +C. 12iD. 12 12i- +Page 2 of 8x yMAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.49. Multiply and simplify, assuming that the variables represent nonnegative numbers:5 13 173 3xy x y�.A. 4 7 23x y xyB. 4 7 23x y x yC. 4 83x y xyD. 4 5 2 23x y x y10. Rationalize the denominator and simplify: 65 9+.A. 3 30 9 614-B. 30 9 614-C. 3 30 9 676+-D. 30 9 676--11. Use the quadratic formula to solve: 210 29 0x x- + =. A. 7, 3x x= =B. 10 4x i= �C. 5 2x i= �D. 5 2x i=- �12. Does 2( ) 4 8 4f x x x=- + + open upward or downward, and does it have a maximum or minimum value?A. The function opens downward and has a minimum value.B. The function opens downward and has a maximum value.C. The function opens upward and has a minimum value.D. The function opens upward and has a maximum value.13. Simplify: 2 7 162 4 8- +. A. 54 2-B. 3 2-C. 3 172-D. 54 172-Page 3 of 8MAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.414. A storage pod with a rectangular base has a length of 18 feet and a width of 50 feet. What is the perimeter of the base of the pod? A. 16 2ft. B. 8 2 ft. C. 8 5 ft. D. 16 5 ft.15. What must be added to both sides of the equation 218 20x x- = to complete the square? A. 0 B. 81 C. 81-D. none of these16. Solve: 2(4 6) 11t + =.A. 54t =�B. 11 6t =� -C. 11 64t� +=D. 11 64t� -=17. What is the range of the function shown below? You may assume that each tick mark represents one unit.A. [3, )�B. [ 3, )- �C. ( ,3]- �D. ( , 3]- �-Page 4 of 8 x yMAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.418. Multiply and simplify:( ) ( )5 10 12 10 12+ -. A. 82-B. 38 C. 38 8 30-D. 62 4 22-19. Simplify: 369625xy.A. 34 65x xyB. 334 65xyC. 2 334 65x xyyD. 334 65xy20. What is true of 2( ) 2 7f x x x=- - -?A. It has a maximum value at( 6, 1)- -.B. It has a minimum value at( 6, 1)- -.C. It has a minimum value at( 1, 6)- -.D. It has a maximum value at( 1, 6)- -.21. A rug must fit into a room so that there is a border of equal width on all sides. If the room is 28 feet by 23 feet and the area of the rug is 234 square feet, how wide will the border be? A. 5.0 feet B. 4.5 feet C. 3.5 feet D. 2.5 feet22. If5( ) and ( ) 7 , find ( ) ( )f x x g x x x f x g x= = + �.A. 67x x+B. 27x x+C. 37x x+D. 37x x+23. What are the x-intercepts of2( ) 3 18f x x x= - -?Page 5 of 8MAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.4A. (6,0),(3, 0)B. (6,0),( 3,0)-C. ( 6,0), (3,0)-D. ( 6,0), ( 3,0)- -24. What is the axis of symmetry of the graph shown below? You may assume that each tick mark represents one unit.A. 0x =B. 0y =C. 5x =D. 5y =25. Add and simplify: 3 6 35 53 2 5 2x y x y+.A. 35(3 5) 2y x y+B. 2 35(3 5) 2y x y+C. 358 2x yD. This expression cannot be simplified.26. What is the vertex of 2( ) 4 32 67f x x x= - +? A. ( 4, 3)- -B. (4,3)C. ( 3, 4)- -D. (3, 4)Page 6 of 8 x yMAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.427. What is the minimum value of the function graphed below? You may assume that each tick mark represents one unit. A. 1y =B. 9y =-C. 2y =-D. 4y =28. A ball is thrown upward with an initial velocity of 56 ft/sec. The height, in feet, after t seconds is approximated by ( ) (56 16 )h t t t= -. What is the maximum height attained by the ball? A. 43.6 feet B. 65.3 feet C. 98 feet D. 49 feet29. What is the axis of symmetry of2( ) 2 11f x x x= - +? A. 1x =-B. 0x =C. 10x =D. 1x =30. Use the quadratic formula to solve22 3 2 5x x x+ = +.A. 1 52x�=B. 1 52x- �=C. 1 5x = �D. 1 5x =- �Page 7 of 8 x yMAT135 Review for Test 4 Akst & BraggSec. 7.3, 7.4, 7.6, 8.1, 8.2, 8.4KEY Review for Test 41. A2. D3. A4. C5. B6. C7. D8. A9. B10. D11. C12. C13. A14. A15. B16. D17. C18. C19. A20. D21. A22. C23. B24. C25. A26. B27. B28. D29. D30. APage 8 of