# Linear Equation Word Problems

## Grade 7 Math Worksheets

** Step 1 :** Read the problem.

** Step 2 : **There should be one such quantity which you need to find. Represent that quantity in terms of a variable.

** Step 3 :** Relate all other unknown quantities in terms of the variable assumed in step 2.

** Step 4 :** Form an equation according to the information in question.

** Step 5 :** Solve the equations to find the value of variables.

### Schedule a Free session to clear worksheet doubts

*No credit card required, no obligation to purchase. *

*Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!*

** Example:** The sum of three consecutive even numbers is 78. What is the smallest of these numbers?

Let us assume that the three consecutive even numbers are *x*, *x* + 2, and *x* + 4.

*x* + *x* + 2 + *x* + 4 = 78

3*x* + 6 = 78

3*x* = 72 implies *x* = 24

*Check your answer*:*x* + (*x* + 2) + (*x* + 4) = 24 + (24 + 2) + (24 + 4) = 24 + 26 + 28 = 78

** Example: **If the difference between two numbers is 38, and the ratio of two numbers is 6:5. Find the numbers.

Let the numbers be x and y.

Then *x* – *y* = 38 … Equation (1)

* x* : *y* = 6 : 5 … Equation (2)

From equation (1), *x *= 38 + *y*

Equation (2) implies => 5*x* = 6*y*

Put *x *= 38 + *y* in 5*x* = 6*y* Þ 5(38 + *y*) = 6y

228 + 5*y* = 6*y* implies *y* = 228

*x* = 38 + 228 = **266**

**The numbers are 228 and 266.**

## Check Point

- Denise bought a magazine for $2 and some notepads for $3 each. She spent a total of $11. How many notepads did she buy?
- For a field trip 28 students rode in cars and the rest filled six buses. How many students were in each bus if 232 students were on the trip?
- Joe’s bikes rents bikes for $15 plus $8 per hour. Julia paid $47 to rent a bike. For how many hours did she rent the bike?
- Shelly had $24 to spend on five pencils. After buying them, she is left with $14. How much did each pencil cost?
- Ted sold half of his comic books and then bought 15 more. He now has 45. With how many did he begin?

##### Answer key

- 3
- 34
- 4
- $2
- 60

## Personalized Online Tutoring from eTutorWorld

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a **FREE TRIAL **Session.

*No credit card required, no obligation to purchase. *

*Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!*

Learn more about Scientific Method and other important topics with 7th Grade Science Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules and convenience of learning from home.

## Pricing for Online Tutoring

Tutoring Package | Validity | Grade (1-12), College |
---|---|---|

5 sessions | 1 Month | $124 |

1 session | 1 Month | $25 |

10 sessions | 3 months | $239 |

15 sessions | 3 months | $354 |

20 sessions | 4 months | $449 |

50 sessions | 6 months | $1049 |

100 sessions | 12 months | $2049 |