### The complete guide to SAT Math Word problems

A Word problem is given mostly on written description. The students are not provided with the equation, chart, or graph on a word problem but they have to give the explanation the words of the question into an effective math problem. Word problems check the Reading comprehension and visualize the given information. SAT Word problems are usually grouped into three categories: (i) Word problems in which the questions prompt you to set up an equation, (ii) Word problems in which the questions prompt you to solve a specific value, and (iii) Word problems in which the questions prompt you to solve the logic puzzles.

**Word Problem: How to set up an equation?**

Examinees use the information given in the question to set up the equation to solve these questions.

**Sample Question**: On a car trip Alice drove i KM, Sara drove twice as many KM as Alice, and Prik drove 15 fewer KM than Sara, therefore in terms of i, how many KM did Prik drive?

(A) 2i + 15

(B) 2i - 15

(C) i/2 + 15

(D) (i + 15 ) / 2

(E) i/2 - 15

**Solution**: Lets us discuss an organized list of who is driving what number of distance covered in KM based on the given question.

**Alice**: i KM

Now, if Sara drove “twice as many” KM as Alice, then it is multiplied by 2 with distance covered by Alice in KM.

**Sara**: 2i KM

If Prik drove “20 miles fewer” than Sara, then include distance covered by her, and subtract 15 to find distance covered by Prik in KM.

**Prik**: 2i - 15 KM

The final answer would be (B) 2i - 15.

**Word Problem: How to Solve a Specific Value?**

In New SAT, most of the Word problems come in this category, and examinees are expected to set up the equation, and also get the solution for specific part of a set of the information. You must have a sound knowledge of the Math topic in order to solve the Word problem questions.

**Sample Question**: There are 6 Magenta, 6 Purple, 6 Orange and 6 Maroon Stoles packaged in 24 indistinguishable unmarked packets, 1 stole per box. Write the least number of packets that must be selected in order to be sure that among the packets selected 3 or more containing Stoles of the same colour.

(A) 3

(B) 6

(C) 7

(D) 8

(E) 9

**Solution**: We need 3 Stoles having the single colour (any of them), and the 4 distinct colours are mentioned in the question. If we select at random, then there would be getting a different colour stole on each selection.

**Elect to choose 1**: Magenta

**Elect to choose 2**: Purple

**Elect to choose 3**: Orange

**Elect to choose 4**: Maroon

Fine, we certainly do not get 3 Stoles of the same colour, so let us do this process again.

**Elect to choose 5**: Magenta

**Elect to choose 6**: Purple

**Elect to choose 7**: Orange

**Elect to choose 8**: Maroon

Again we selected a different coloured stole each time. Now we have 2 Stoles of each colour which means in the next** ‘Elect to choose’ **process we have 3 Stoles of the same colour, but wait here colours can be any distinct colour.

**Elect to choose 9**:?

It is also not clear that which colour has been elected in the 9^{th} round, so we will now have 3 Stoles that are the same colour, whether it would be Magenta, Purple, Orange, or Maroon. The whole process takes 9 rounds to undertake that we will get 3 Stoles of the same colour of any of them. The final answer assessed is:

(E) 9

**Sample Question**: In New SAT, the geometry question is given as Word problem. In the given Figure, m is not a set degree value, but it can be a value which is greater than 51, let say 52°. Find the value of *n*.

**Solution**: Since *m* = 52° so the next angle of the given triangle would be 2*m*, i.e., 2 ´ 52° = 104°. Let us draw a rough sketch of the given problem that could be as follows:

All angles of a triangle are equal to 180°. The value of *n* would be:

104° + 52° + *n* = 180°

*n* = 180° - 156°

*n* = 24°

**Word Problem: How to Solve the Logic Puzzle?**

**Sample Question**: How can you move three matchsticks to form three triangles?

**Solution**: This can be done as follows:

You are to be expected to observe both a diagram or equation problem and a Word problem for Math on the New SAT. Therefore many Word problems are asked on the basis of math topic in order to get the solution of consequent Word problem. For example, examinees are not able to find a general term for the given arithmetic sequence -2, 5, 8, 11, … then they will not be able to solve a Word problem based on arithmetic progression. If you are having some specific areas of mathematical weakness, then you need to brush up on them, or else SAT Word problems can be trickier than you are expecting.

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