6th Grade Writing and Reading Algebraic Expressions Test with Point Values (PDF)

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This write expressions test for 6th Grade covers writing and reading algebraic expressions (Common Core 6.EE.A.2a, 6.EE.A.2b), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers writing expressions from words, identifying terms and coefficients, reading expressions, and modeling situations (Common Core 6.EE.A.2a and 6.EE.A.2b). Show your work.

Time and points

About this test
  • Grade: Grade 6
  • Chapter: Writing and Reading Algebraic Expressions
  • Standards: 6.EE.A.2a, 6.EE.A.2b
  • Time: 45 minutes
  • Total: 20 points

Write expressions test: questions

Question 1 – Write expressions [2 pts]

PhraseExpressionsum of 9 and n?x divided by 6?
Translate each phrase.
  1. the sum of 9 and a number \(n\)
  2. a number \(x\) divided by 6

Question 2 – Write expressions with less than [2 pts]

  1. 12 less than a number \(p\)
  2. three times the difference of \(w\) and 4

Question 3 – Parts of an expression [2 pts]

PartName6y?6?9?
Name each part.

For the expression \(6y + 9\), name the terms, the coefficient, and the constant.

Question 4 – Read an expression [2 pts]

Write \(4(n + 7)\) in words and name its two factors.

Question 5 – Story to expression [2 pts]

MoneymLeftm – 88
Mei spends 8 dollars.

Mei has m dollars and spends 8 dollars. Write an expression for the money she has left. Find the amount left if m is 25.

Question 6 – Groups [2 pts]

A box holds 12 pencils. Write an expression for the number of pencils in b boxes, and then in b boxes plus 5 loose pencils.

Question 7 – Two variables [2 pts]

Snacks at the game cost $4 for a pretzel and $3 for a drink. Write an expression for the cost of p pretzels and d drinks, then find the cost of 2 pretzels and 5 drinks.

Question 8 – Compare expressions [3 pts]

Explain the difference between \(2n + 5\) and \(2(n + 5)\). Find the value of each when \(n = 3\).

Question 9 – Build an expression [3 pts]

A gym charges a $20 sign-up fee and $15 per month. Write an expression for the cost of m months. Then find the cost for 6 months and tell what each part of the expression means.

See the solutions: Writing and Reading Algebraic Expressions test solutions

Key facts behind this write expressions test

Key facts
  • Sum, plus, more than: add. Difference, less than, decreased by: subtract.
  • Product and times: multiply; quotient and divided by: divide.
  • A term is a part of an expression separated by plus or minus signs.
  • A coefficient is the number multiplied by a variable; a constant has no variable.
  • Read an expression in parentheses as one quantity.

How to use this write expressions test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 6 chapters: Grade 6 math.

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6th Grade Writing and Reading Algebraic Expressions Test with Point Values

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