2 Step Equation Story Problems

Ii-step equations – give-and-take issues

Simply put, two-step equations – discussion bug are 2 footstep equations expressed using words instead of just numbers and mathematical symbols. They are just a scrap more complicated than ane-step equations with word bug and they demand only a bit more effort to solve. If y'all are not confident in your abilities to solve two-step equations with word problems, you can go to one-step equations – word issues and practise some more before continuing with this lesson. But if y'all feel set, we volition show you how to solve it using this example:

Hermione's Bikes rents bikes for $10 plus $4per hour. Janice paid $30 to rent a bike. For how many hours did she hire the cycle?

Commencement thing we take to exercise in this consignment is to find the variable and see what its connexion is with the other values. The matter we do not know is the number of hours Janice rented the bicycle for and nosotros have been asked to observe that out. That ways the number of hours is our variable.

The cost of renting a bike is 10$ to take the wheel and 4$ for every hour it spends in our possession. The final sum Janice paid is $30. Let u.s. write that down as an equation.

4 * x + 10 = 30

Now, in order to make things neater and more articulate, allow us motility all the numbers (except for the number 4 – we have to get rid of information technology in a unlike way) to the right side of the equation. Similar this:

4 * x = 30 – 10

To simplify things further, allow us perform the subtraction.

4 * x = 20

The next matter to practice is to get rid of the number 4 in front of the variable. Nosotros will practice that by dividing the whole equation past iv.

4 * x = twenty |:4

10 = 5

Now that nosotros have calculated the value of the variable, nosotros tin tell that Janice rented that bike for v hours. If you want to cheque the upshot – y'all can. If you multiply $4 that Janice paid per hr by the 5 hours she spend with that bike and and so add the $10 she had to pay regardless of the time she spent with the wheel, yous will get a total sum of $xxx that is indeed the full sum she paid.

two step equations word problems

These word problems are called two-step because you have to perform two mathematical operations in order to solve them. In this case – add-on (subtraction) and multiplication (segmentation). To exercise solving two-pace equations – discussion problems, feel free to use the worksheets below.

Two-step equations – word issues exams for teachers

Examination Name	File Size	Downloads	Upload date
Integers
2-stride equations – Word issues – Integers – very piece of cake	460.7 kB	49294	September 3, 2019
Ii-step equations – Word issues – Integers – easy	461.vi kB	45772	September 3, 2019
2-step equations – Word issues – Integers – medium	461.4 kB	65132	September 3, 2019
Two-step equations – Word problems – Integers – hard	462 kB	33278	September 3, 2019
2-footstep equations – Word problems – Integers – very hard	462.5 kB	21741	September 3, 2019
Decimals
Two-step equations – Discussion bug – Decimals – very easy	460.nine kB	6136	September 3, 2019
Two-pace equations – Give-and-take problems – Decimals – piece of cake	461.4 kB	7376	September iii, 2019
Ii-step equations – Discussion problems – Decimals – medium	461.five kB	11536	September 3, 2019
Two-step equations – Word problems – Decimals – hard	462.ane kB	10148	September 3, 2019
Ii-step equations – Word problems – Decimals – very hard	462.2 kB	7832	September 3, 2019

Ii-step equations – word problems worksheets for students

Worksheet Name	File Size	Downloads	Upload appointment
Two-stride equations – Give-and-take problems – Integers	553.2 kB	50016	September 3, 2019
2-step equations – Word problems – Decimals	555.5 kB	13836	September three, 2019