Problem Solving with Equations
Algebra, and more...

 1 EASY Solve $$4x=12$$

 2 EASY Solve $$x+5=2$$

 3 EASY Solve $$5x+3=0$$.

 4 EASY Solve $$\frac{4x}{3}-7=17$$

 5 MEDIUM Three times a number is six more than the number. What is the number?

 6 MEDIUM If a rope is cut into three segments with equal length, each segment will be $$4$$ meters longer than the segments if the rope is cut into four equally long segments. If the rope is cut into six equally long segments, how long is each segment?

 7 MEDIUM In a cage are $$100$$ animals. Those animals are either rabbits or chickens. If the number of legs is $$268$$, how many animals are chicken and how many are rabbits? (Note: Rabbits have $$4$$ legs and chickens $$2$$ legs.)

 8 HARD Jason and I have a total of $$100$$ books. If Jason gives half of his books to me, I will have four times books as Jason has. How many books do I have?

 9 HARD The speed of water is $$5$$ kilometers per hour to the East. When Lisa swam towards the East, it took her $$\frac{3}{5}$$ the time as when she swam towards the West. What was Lisa's speed? (Note: please assume that Lisa swam at a constant speed.)

 10 HARD Jerry ran from his home to school with a speed twice as much as his speed when he ran from school to home. If it took Jerry $$3$$ hours in total to run to school and then back to home, how long did it take Jerry to run from home to school?

 11 HARD When Gary drove from City A to City B, he drove at $$60$$ kilometers per hour. When He drove from City B to City A, he drove at $$80$$ kilometers per hour. What was Gary's average speed for driving from A to B and then from B to A? (Hint: $$average\ speed=\frac{total\ distance}{total\ time}$$)