Expressions & Equations Drill Worksheets
Expressions and equations are the start of algebra proper. Grade 6 evaluates expressions, works with whole-number exponents and solves one-step equations; grade 7 solves two-step equations, applies the distributive property, combines like terms and solves one-step inequalities; grade 8 solves multi-step linear equations with variables on both sides and computes with scientific notation.
Every equation on these sheets has an integer solution, and the answer key writes it as "x = " rather than a bare number, so the form of an algebraic answer is modelled alongside the value. Word problems ask the student to write the equation as well as solve it.
Choose a grade
Expressions and equations on this site runs from Grade 6 to grade 8: 15 worksheets across three grades and five formats (drill, timed drill, missing number, mixed review, and word problems), each in three versions, for 1,248 problems in all with every answer keyed. Seven of the sheets were first published on MathSheetLab and are kept here as Set A of their cell, with Sets B and C derived from them.
Grade by grade: Grade 6 works on evaluating expressions, whole-number exponents, one-step equations and combining like terms; Grade 7 works on two-step equations, the distributive property, like terms with signed coefficients and one-step inequalities; Grade 8 works on multi-step linear equations, operations in scientific notation and integer exponent rules.
Focus: evaluating expressions, whole-number exponents, one-step equations and combining like terms.
6.EE.1 — Writing & Evaluating Expressions with Exponents
Straight practice, 20-40 problems.
Grade 6 Expressions & Equations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 6 Expressions & Equations Missing Number
Solve for the blank in any position.
Grade 6 Expressions & Equations Mixed Review
Assorted problem shapes from the operation.
6.EE.7 — Writing & Solving Equations: Real-World Practice
Story problems in real-world contexts.
Focus: two-step equations, the distributive property, like terms with signed coefficients and one-step inequalities.
Grade 7 Expressions & Equations Drill
Straight practice, 20-40 problems.
Grade 7 Expressions & Equations Timed Drill
Fact fluency, 50-100 problems, timer box on sheet.
Grade 7 Expressions & Equations Missing Number
Solve for the blank in any position.
Grade 7 Expressions & Equations Mixed Review
Assorted problem shapes from the operation.
7.EE.4 — Equations & Inequalities in the Real World
Story problems in real-world contexts.
Focus: multi-step linear equations, operations in scientific notation and integer exponent rules.
Grade 8 Adding Numbers in Scientific Notation
Straight practice, 20-40 problems.
8.EE.3 — Scientific Notation Division Practice
Fact fluency, 50-100 problems, timer box on sheet.
Grade 8 Expressions & Equations Missing Number
Solve for the blank in any position.
Grade 8 Subtracting Numbers in Scientific Notation
Assorted problem shapes from the operation.
Grade 8 Word Problems: Writing and Solving Linear Equations
Story problems in real-world contexts.
The six formats
- Drill. Straight practice, 20-40 problems. Solving the same shape of equation thirty times is how the inverse-operation steps stop being deliberate.
- Timed Drill. Fact fluency, 50-100 problems, timer box on sheet. Evaluating expressions and one-step equations quickly is the fluency multi-step algebra rests on.
- Missing Number. Solve for the blank in any position. A missing coefficient or constant asks the student to reason about the structure of the expression, which is the algebraic habit itself.
- Mixed Review. Assorted problem shapes from the operation. Evaluating, simplifying and solving on one page keep the student reading the instruction rather than assuming one.
- Word Problems. Story problems in real-world contexts. Translating a sentence into an equation is the skill the drill sheets cannot practise, and the one that matters most.