MTAP REVIEWER

1. What is the slope of the line 2x + 3y = 5?______________________. 2. One number is more than another and their sum is 48. Find the larger number.________________. 3. If x = 2y, what is x2y when y = 2?___________________. 4. Solve for y: 3y +4 x = y 7 x ? ___________________. 5. What is the sum of 3 consecutive integers if the smallest is 3x + 2? ___________________. 6. If 5x + 4 = 3x -5, what is x? _______________________. 7. What is the value of 1 + ( 122 / 182) ? ______________________. 8. What is the y- intercept of the line 3y x + 4 = 0? _____________________. 9. What is the perimeter of a square having an area of 4a2 -4ab + b2 ? ______________________. 10. If 3x 5 > 5x + 7, what is x? ___________________________. 11. Find the roots of x2 + x -12 = 0. ________________________. 12. Find the smallest of the 3 consecutive integers such that twice the first added to 5 times the second exceeds 3 times the 3rd by 51. _______________________. 13. By how much does 6 ( a2 + 2ab) 2b2 exceed 2 (3ab b2)?__________________________. 14. Find x such that 12x + 31 = 5. ________________________. 15. If 3x- y = 7 and -5 x 5, what is the range of y? _____________________. 16. For what integral values of x is 1 2x 6 8 ? _______________________. 17. What is the slope of the line passing through the intercepts of 2x + 3y + 9 = 0?_____________. 18. Three numbers are in the ratio 2 : 3 : 5. If the smallest is 2p + 4 , find the sum of the three numbers._____________________________. 19. Find the area of the rectangular lawn whose perimeter is 112 m if the length exceeds twice the width by 5m. ________________________. 20. Find the equation of the line parallel to the line through the points ( 2, 5 ) and ( -2 , -1 ) and passing through ( -2, 3 ).__________________________. 21. The sum of two numbers is 25 . What are the two numbers if their product is to be a maximum? ______________________. 22. 23. 24. 25. 26. Simplify ( 1 - ) 3 ________________________________. Find the product of the GCF and LCM of 72 and 298. ________________________________. If x/ 3 2 = 1, what is x? ______________________________. If ax 2y + 3 = 0 is perpendicular to x + y = 0 , find a. ________________________________. The sum of the digits of 2 digit numbers is 9. If the digits are reversed, the new number is 9 less than the original number. Find the number._______________________ 27. If A ( 4, -2) , B ( 3,1) and C (x,7) are collinear, find x._______________________.