6th grade expressions & equations worksheets

A real sample sheet.

11 expressions & equations skills at 6th grade, one sheet each, free with its answer key: absolute value, combining like terms, comparing & ordering integers, and more.

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Integers

  • Absolute value Absolute value is a number's distance from zero, so it is never negative: |-8| and |8| both equal 8.
  • Comparing & ordering integers Picture the number line. The number farther to the right is always greater, so every positive beats every negative, and −2 beats −9.
  • Integers add & subtract Adding moves you right on the number line, subtracting moves you left, and subtracting a negative flips you right again.

Expressions & equations

  • Combining like terms Like terms have the same letter, so add their number parts: 3x + 2x makes 5x.
  • Evaluating expressions Swap the letter for its number, then follow the order of operations.
  • Exponents The small raised number tells how many times to use the base as a factor: 2^3 means 2 × 2 × 2.
  • Inequalities on a number line The open circle marks the boundary number, and the arrow points toward all the numbers that make the inequality true.
  • One-step equations To find x, undo what was done to it: do the opposite operation to both sides.
  • Order of operations Work inside parentheses first, then any exponents, then multiply and divide, then add and subtract.
  • Writing algebraic expressions Complete each problem. Show your reasoning where asked.
  • Writing inequalities Write one inequality that models each condition.

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More 6th grade math: Word problems · Factors & patterns · Fractions · Decimals · Ratios & percents · Shapes & angles · Area & volume · Data & graphing

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