Practice solving one- and two-step equations with rational numbers, including fractions and decimals. Students can enter answers in either decimal or fraction form.
This 7th grade math worksheet focuses on solving one-variable linear equations with rational numbers—covering both fractions and decimals. Students work through a variety of one- and two-step equations using inverse operations, and can submit their answers in either simplified fraction form or decimals rounded to two decimal places. Designed to build fluency and confidence in equation solving, this worksheet aligns with Common Core Standard 7.EE.B.4.A and supports practice with rational number arithmetic. Whether used for independent work, review, or assessment, this auto-graded activity is perfect for classroom or at-home learning.
Students will solve one-variable linear equations that include rational numbers—both fractions and decimals—using inverse operations and properties of equality. They will demonstrate fluency in solving both one-step and two-step equations and accurately round decimal answers to two decimal places when necessary.
If randomization is enabled, each student will receive a different set of equations with varied rational number coefficients and constants. This ensures that every student works on a unique version of the worksheet while practicing the same core skills.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
All 7.EE.A.1 activities →Solve word problems leading to equations of the form *px* + *q* = *r* and *p*(*x* + *q*) = *r*, where *p*, *q*, and *r* are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. *For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?*
All 7.EE.B.4a activities →
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