Many students find solving algebra word problems difficult. The best way to approach word problems is to “divide and conquer”. Break the problem down into smaller bits and solve each bit at a time.
First, we need to translate the word problem into equation(s) with variables. Then, we need to solve the equation(s) to find the solution(s) to the word problems.
How to recognize some common types of algebra word problems and how to solve them step by step.
The following shows how to approach the common types of algebra word problems.
Digit Problems involve the relationship and manipulation of digits in numbers.
Distance Problems involve the distance an object travels at a rate over a period of time.
We can have objects that Travel at Different Rates, objects that Travel in Different Directions or we may need to find the distance Given the Total Time
Fraction Problems involve fractions or parts of a whole.
Mixture Problems involve items or quantities of different values that are mixed together. This involve Adding to a Solution, Removing from a Solution, Replacing a Solution,or Mixing Items of Different Values
Motion Word Problems are word problems that uses the distance, rate and time formula.
Proportion Problems involve proportional and inversely proportional relationships of various quantities.
For more Algebra Word Problems and Algebra techniques, go to our
Geometry Word Problems
Angle Word Problems
Perimeter Word Problems 1
Perimeter Word Problems 2
Perimeter Word Problems 3
Area Word Problems
Area of Rectangle Word Problems
Area of Triangle Word Problems
Area of Parallelogram Word Problems
Volume Word Problems
Volume Word Problems
Geometry Word Problems using Quadratic Equations
Pythagorean Theorem Word Problems
Trigonometry Word Problems
Have a look at the following videos for some introduction of how to solve algebra problems:
Angela sold eight more new cars this year than Carmen. If together they sold a total of 88 cars, how many cars did each of them sell?
One number is 4 times as large as another. Their sum is 45. Find the numbers.
Devon is going to make 3 shelves for her father. She has a piece of lumber 12 feet long. She wants the top shelf to be half a foot shorter than the middle, and the bottom shelf to be half a foot shorter than twice the length of the top shelf. How long will each shelf be if she uses the entire 12 feet of wood?
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