6.EE.1 — Writing & Evaluating Expressions with Exponents
Practice writing and evaluating numerical expressions that include whole-number exponents, building fluency with powers and order of operations involving exponents.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Evaluate each numerical expression and write your answer on the line.
- 1.3² =
- 2.2⁵ =
- 3.4³ =
- 4.10⁴ =
- 5.6² =
- 6.2⁶ =
- 7.5³ =
- 8.7² =
- 9.1⁸ =
- 10.9² =
- 11.3⁴ =
- 12.2³ + 4² =
- 13.5² × 2 =
- 14.10³ − 500 =
- 15.3³ + 2⁴ =
- 16.6² − 4² =
- 17.2⁴ × 3 =
- 18.(2 + 3)² =
- 19.4² + 3³ =
- 20.10² − 5³ =
- 21.2³ × 3² =
- 22.6³ − 100 =
What this worksheet covers
This is a 22-problem drill for grade 6 expressions and equations, printed in black and white with the key on page two. One of the 22 problems involve a negative quantity and the expressions carry exponents, so the order of operations decides the answer. Problems 8 and 15, for instance, are "7²" and "3³ + 2⁴". Common Core 6.EE.1 is the slot this page fills.
Skills practised
At grade 6, expressions and equations is about evaluating expressions, whole-number exponents, one-step equations and combining like terms, and this sheet takes one slice of that. The skill on the page: writing & Evaluating Expressions with Exponents. Concretely, the sheet tests whether a student can track direction as well as magnitude and apply the order of operations to powers. Nineteen different answers appear across the 22 problems, so a student cannot copy one result down the page.
About the drill format
A drill is straight practice: 22 problems of the same kind, laid out across the page with working space under each — problem 8, "7²" is typical of the whole page. Solving the same shape of equation thirty times is how the inverse-operation steps stop being deliberate.
Set A, Set B and Set C
Set A is the sheet as it was first published on MathSheetLab, and Sets B and C were derived from it problem by problem: each number became a slot redrawn with the same shape, and every answer was recomputed exactly. Where Set A's problem 12 is "2³ + 4²", Set B's is "4³ + 6²".
How to use this worksheet
Work it without a calculator. Every one of the 22 expressions and equations problems is designed to be done by hand, and reaching for a calculator at grade 6 skips exactly the reasoning being built. Date the drill before filing it. Set C from six weeks later is the cheapest evidence you have that the expressions and equations stuck.
One mistake to watch for
An exponent is multiplied by the base: 4³ becomes 12. Watch problem 15 of this drill — "3³ + 2⁴" — for this one.
The superscript is being read as a multiplier.
Write out the repeated product for every power for a few days.
Other grade 6 expressions and equations formats
The same skill in the other formats available at this grade.
- Timed Drill — Grade 6 Expressions & Equations Timed Drill, 60 problems
- Missing Number — Grade 6 Expressions & Equations Missing Number, 24 problems
- Mixed Review — Grade 6 Expressions & Equations Mixed Review, 30 problems
- Word Problems — 6.EE.7 — Writing & Solving Equations: Real-World Practice, 22 problems
A step either side
The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.
- Grade 7 Expressions & Equations Drill — grade 7, 30 problems
Drill sheets in other grade 6 topics
Print as many copies of this grade 6 expressions and equations drill as you need; Sets A, B and C and their keys are six separate PDFs, all free.