Multistep Problems in Grade VII

Algebra! Who invented this boring branch of mathematics. Many students usually ask this question. But my dear students I am here to take your pain and to make this boring subject an interesting one for you. Whenever you deal with any math problem try to understand the problem behind the concepts and relate it with the real life problems then surely friends you will understand the problem properly. Now, move towards the today’s topic that is multistep problems in grade VII. What do you understand by the term multistep problems? As the name says multistep, you easily understand its concept that multistep means multiple step and by multistep problems we mean that how to solve problems involving different steps.

In multistep problems, a problem is solved in different steps and each and every step is very important. If you solve any problem and if any of its step is wrong then you won’t get the final answer right. In such type of problems each and every step must be right otherwise the output will be wrong even a minute mistake can cause problem to your answer. so be careful whenever you solve these types of problems and check and all the steps properly and carefully. The multistep problems can be in any form like they can be in equation form or word problem form.

Let’s take an example and understand the problem properly.  

First take an example of equation which is solved in multistep.

Example: Solve the given equation for the variable q

20 = 3(2 q + 8) + 4

Answer:

-20 = 3 (2q + 8) + 4

Eliminate the parentheses,

-20 = 3 (2 q) + 3 (8) + 4

-20 = 6q + 24 + 4

-20 = 6q + 28

Subtract 28 on both sides of the equation

-20 - 28 = 6q + 28 – 28

-48 = 6q

Divide by 6 on both sides of the equation

-48/6 = 6q/6,

-8 = q

This is the final answer of the equation.

 

 

Now, here is an example of the same but the form of word problems.

Question: Allen earns a base salary of $94 per week with a commission of 14% of sales. if she had $100 in sales last week, then find her total pay.

Solution: as you all know the formula to calculate commission and total pay.

Commission = commission percentage x sales,

Total pay = base salary + commission.

First calculate the commission. For this we can use the first formula

Commission = commission percentage x sales,

= 14 % x 100

= 14 /100 x 100,

= 14.

so the commission is $14.

Now we can easily calculate the total pay, using second formula,

total pay = base salary + commission,

= 94 + 14,

= 108,

The total pay was $108.  

in this the simple way to solve multistep problems only take care that all the calculations and formula used are right or not, then you can easily solve all the different problems.