1. Solve for x 9x + 1 <= 7x-9 (greater than or equal to) 2. Write algebraic equation and use it to solve the problem. Four-sevenths of a number is - 24. What is the number? 3. Solve for y. 8(y - 1) = - 4(3 + y) 4. A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangular section is 8 feet shorter than twice the shortest side. The third side is 5 feet longer than the shortest side. The perimeter is 61 feet. How long is each side! Longest ? Shortest ? Third side ? 5. Write algebraic equation for the following problem and then solve it Svetlana and Kim walked on treadmills at the avm for the same amount of time. svetlana walks at 6 miles ver hour and Kim walks at 5.8 miles per hour. If Svetlana walked 0.9 miles farther than Kim, how long did they use the treadmills? The algebraic equation is 6x =? Hour many hours ? 6. new Community Center is being built in Junction City. The perimeter of the rectangular playing field is 270 vards The length of the field is 9 yards less than double the width. What are the dimensions of the playing field?length? Width? 7. Solve 1/4 -x-1/9 =x/4 8. Solve the absolute value equation. |x+1| - 2=16 9. Solve 6x - 12(x + 1) = - 6 + 16 10. Solve the absolute value equation. Check your solutions |4-3x| = 14