Undo Two Operations to Solve Equations
Written by Adi Ackerman, Head Teacher
"Undo Two Operations to Solve Equations" 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 8 equations like 3x + 5 = 20 in two guided steps, writing the new equation after Step 1. 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 undo addition or subtraction first, then multiplication, to solve 8 equations.
- Students will write the new equation after Step 1, as in 4n minus 6 = 22 becoming 4n = 28.
- Students will find whole number solutions from 2 to 12, such as y = 4 for 9y minus 3 = 33.
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FAQ
How do I use this two-step equations worksheet?
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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?
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Solve 8 equations like 3x + 5 = 20 in two guided steps, writing the new equation after Step 1. Undo the operations in reverse order: to solve 2n + 1 = 9, subtract 1 first, then divide by 2. The directions on the page read: Do each step to both sides of the equation. Write the new equation after Step 1, then find the value of the variable. An answer key is included.
Can I use this two-step equations worksheet for homeschool or classroom?
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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?
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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?
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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?
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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?
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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.
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