# One-step Algebra Equations with Addition and Subtraction

## Grade 6 Math Worksheets

In math, an equation means an expression with an **equal (“=”) sign**.

When we solve an equation we try to find the value of the variable. The expression/value on the left is equal to that on the right.

We follow a method where we separate the variable on one side of the equation using **Opposite Operations**. Learn Math concepts from our 6th grade math tutors or practice now 6th grade math worksheets.

**How do you solve an equation?**

#### Balance Method to Solve Equations

Add or subtract the same number from both sides to keep the equation in balance.

Solve: *x* + 8 = 12

*Example 1*.

+ 3 = 8

* x* + 3 = 8

-3 = -3

———————-

** x = 5**

———————-

*Example 2.* Solve *x* + 9 = -12

*Example 3*.**Lily has d watermelons. If she adds 25 to them, it will become 40. Find the value of d.**

**Equation is** *d* + 25 = 40

-25 = -25

————–

* d* = 15

————–

*Example** 4*.**Monica has $ x. After shopping for $155 on a sofa, she has only $25. What is the value of x?**

**Equation is ***x* – 155 = 25

+155 = +155

——————–

** x = $180**

——————–

*Example 5*.**Greg has x no. of books in his office shelf. There are 30 times more books in one of the shelves in the public library. If it’s equal to 4500, how many books does Greg have?**

**Equation** is 30*.b *= 4500

30*.b *÷ 30 = 4500 ÷ 30

* **b *= 150

**Check Point**

*x*+ 15 = 60

=

*x* = _____

*r*– 23 = 49

+ 23 = + 23. Find *r*.

- Max has
*b*number of cars at his taxi service. If he rents out 20, he is left with 25. Find*b*.

- Georgia has
*n*oranges. She adds 12. She is now left with 27. Find*n*.

- Earl has
*c*candies. Mini has 6 times more than what Earl has. If Mini has 36 candies, how many does Earl have?

- Mathew has $
*n*in his wallet. He withdraws $200 from an ATM. He has $235 now. What is amount he had earlier?

##### Answer key

- 45
- 26
- 45
- 15
- 6 candies
- $35

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, 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 Demo 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!*

## Pricing for Online Tutoring

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

5 sessions | 1 Month | $129 |

1 session | 1 Month | $26 |

10 sessions | 3 months | $249 |

15 sessions | 3 months | $369 |

20 sessions | 4 months | $469 |

50 sessions | 6 months | $1099 |

100 sessions | 12 months | $2099 |

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird