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Algebraic expressions practice

Writing algebraic expressions worksheets

Translate words into algebra with ten questions per worksheet. Select easy, medium and hard phrases, including grouping, fractions and powers, and print an explained answer key.

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Write an expression for each phrase. Keep the stated variable names, check subtraction and division order, and use parentheses when an operation acts on a whole group.

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Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
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Easy phrases introduce a short expression with one variable. Medium phrases add fractional coefficients and grouped quantities. Hard phrases use two variables, more terms and squared or cubed quantities. Select one level or combine levels in a ten-question set.

A separate answer key repeats each question and explains the transformation. Use the space on the student sheet for an expression, an expansion or substitution steps, rather than recording only a final answer.

Learning objective

What this activity builds

Translate a verbal relationship into an expression with the correct operands, operations and grouping.

Worked example

Three times the sum of x and 4, decreased by twice y.

3(x + 4) − 2y.

The sum is x + 4. Three times that whole sum is 3(x + 4), and decreasing it by twice y gives 3(x + 4) − 2y. The equivalent expanded expression 3x + 12 − 2y is also valid.

Teaching notes

Make the practice count

  • Begin with one variable and one familiar operation.
  • Underline the quantity governed by each operation.
  • Compare a grouped phrase with the same words without grouping.
  • Accept equivalent expressions when they preserve the described relationship.

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Choose one or more levels. Hard questions include two variables, rational coefficients, grouped quantities, and squares or cubes.

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Math SheetNameScore/ 10TeacherDateWriting Algebraic ExpressionsWrite an algebraic expression for each phrase.1.Write an expression for: the sum of z and 72.Write an expression for: 2 over 3 times the grouped quantity (the sum of c and 9)3.Write an expression for: the sum of (1 over 3 times the grouped quantity (the sum of x and 7)) and (9 times q)4.Write an expression for: 4 more than c5.Write an expression for: 2 over 5 times the grouped quantity (the sum of g and 6)6.Write an expression for: the sum of (1 over 3 of y) and (the difference between (1 over 5 of n) and 7)7.Write an expression for: w minus 48.Write an expression for: 1 over 2 times the grouped quantity (the sum of d and 5)9.Write an expression for: the sum of r squared and (the product of 9 and p)10.Write an expression for: 4 subtracted from mmath-sheet.comPage 1 / 1

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