Two-Step Equations With Negative Numbers
Written by Adi Ackerman, Head Teacher
"Two-Step Equations With Negative Numbers" is written for 6th Grade (Ages 11-12). If your student is a year younger but already steady on algebra, the page still works. You may just need to read the instructions out loud. And if they are older and two-step equations never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: solve 12 two-step equations with negative numbers, such as 3x + 7 = negative 8 and x/3 + 8 = 3. Answer key included. Part of our two-step equations algebra collection.
How do I use this worksheet?
Begin with Undo Two Operations to Solve Equations so students write the new equation after each step. Use Solve and Check Two-Step Equations before the word problem pages so checking becomes a habit.
What students will practice
- Students will solve 12 equations using the rules for adding, subtracting, multiplying and dividing integers.
- Students will divide by a negative coefficient, as in negative 2n = 8 so n = negative 4.
- Students will find positive and negative solutions from negative 15 to 14.
Curriculum Links
Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this two-step equations worksheet?
⌄
Begin with Undo Two Operations to Solve Equations so students write the new equation after each step. Use Solve and Check Two-Step Equations before the word problem pages so checking becomes a habit.
What does this worksheet teach?
⌄
Solve 12 two-step equations with negative numbers, such as 3x + 7 = negative 8 and x/3 + 8 = 3. The directions on the page read: Solve each equation. Use the rules for adding, subtracting, multiplying and dividing integers. Show your steps under each equation. An answer key is included.
Can I use this two-step equations worksheet for homeschool or classroom?
⌄
Yes, both. We made it for 6th Grade algebra, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with two-step equations. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you solve a two-step equation?
⌄
Undo the operations in reverse order. For 3x + 5 = 20, subtract 5 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.
How do you solve a two-step equation with a fraction?
⌄
Undo the addition or subtraction first, then multiply both sides by the reciprocal of the fraction. For 2/3x + 4 = 10, subtract 4 to get 2/3x = 6, then multiply by 3/2 to get x = 9.
How do you check a solution to an equation?
⌄
Put the solution in place of the variable and see if both sides match. x = 6 solves 4x + 3 = 27 because 4(6) + 3 = 27.
Are two-step equations a 6th grade skill?
⌄
Common Core places two-step equations in 7th grade, right after the one-step equations of 6th grade. These pages give 6th graders who solve one-step equations easily the next step, with guided steps on the first page.
Ratings & Reviews
No reviews yet. Be the first to share what you think.
Reviews are for ClassWeekly members.
Make a Request
Spotted something to fix, or want a worksheet we don't have yet? Tell us and we'll make it.
What is ClassWeekly?
ClassWeekly offers free worksheets and printable learning resources for kids, from preschool up. All worksheets are aligned to Common Core, NGSS, and C3 Framework standards and designed by educators. Become a member to access the full library and download unlimited PDFs.