One-Step Equations With Fractions and Decimals
Written by Adi Ackerman, Head Teacher
"One-Step Equations With Fractions and Decimals" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.EE.B.7. 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 one-step equations never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: solve 16 one-step equations with fractions and decimals like 2/3 c = 8 and 0.4n = 3.2. Answer key included. Part of our one-step equations algebra collection. Aligned to Common Core standards.
How do I use this worksheet?
Begin with the expression, equation or inequality sort and the substitution page. Then solve the equation pages, and finish with the two word problem pages.
What students will practice
- Students will solve 16 one-step equations that use fractions, mixed numbers and decimals.
- Students will write fraction answers in simplest form, such as 7/12 for a + 1/4 = 5/6.
- Students will write answers greater than 1 as mixed numbers, such as 2 5/6 and 3 7/8.
Curriculum Links
Common Core State Standards
Expressions and Equations · 6th Grade
Standard: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
View all 6.EE.B.7 worksheets →Find this in the curriculum
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FAQ
How do I use this one-step equations worksheet?
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Begin with the expression, equation or inequality sort and the substitution page. Then solve the equation pages, and finish with the two word problem pages.
What does this worksheet teach?
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Solve 16 one-step equations with fractions and decimals like 2/3 c = 8 and 0.4n = 3.2. The directions on the page read: Solve each equation. Write fractions in simplest form, as mixed numbers when greater than 1. Write a whole-number answer in the first box. An answer key is included.
Can I use this one-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 one-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 one-step equation?
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Undo the operation on the variable by doing the inverse to both sides. For n divided by 3 = 6, multiply both sides by 3 to get n = 18. For 0.5z = 8, divide both sides by 0.5 to get z = 16.
How do you check a solution?
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Put the value back into the equation and see if both sides are equal. x = 6 solves 4x minus 5 = 19 because 4 x 6 minus 5 is 19. m = 9 does not solve 50 minus m = 39 because 50 minus 9 is 41.
Are there word problems?
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Yes. Two pages have word problems. Students write an equation such as 4.50t = 18.00 for play tickets, solve it and give the answer with units, here 4 tickets.
Is there an answer key?
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Yes. All 6 one-step equations worksheets have an answer key.
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