CheerMath

Grade 6 Algebraic Expressions Practice

Build, Describe, and Evaluate Expressions

Expressions are built from terms, coefficients and constants. You'll name every part, use brackets to show grouping, and work out what an expression is worth.

Also known as Class 6 maths — the same topics, whether your school calls it grade, class or year.

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Sample questions

A few samples from this topic — try one, then show the answer.

  1. Evaluate One-Variable Expressions

    Calculate 3n+2 3n + 2\, when n  =  9n \; = \; 9.
    Show answer
    Answer:
    29

  2. Read and Write Two-Operation Expressions

    Which expression means "a number minus 6"?
    • 6  −  x6 \; - \; x
    • x  +  6x \; + \; 6
    • x  −  6x \; - \; 6
    • 6x6x
    Show answer
    Answer:
    x  −  6x \; - \; 6

  3. Count Terms, Variables, and Operations

    In the expression 7c  +  c \; + \;12, which operation is done first?
    • Addition
    • Multiplication
    • Division
    • Subtraction
    Show answer
    Answer:
    Multiplication

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A worked example

Calculate 3n+2 3n + 2\, when n  =  9n \; = \; 9.
  1. We need to find the value of 3n+2 3n + 2\, when n  =  9n \; = \; 9.\\Replace n n\, with 9:→3×9+2\\ \to 3 \times 9 + 2
  2. Multiply before adding or subtracting:3×9  =  27→27  +  2  =  29\\ 3 \times 9 \; = \; 27 \\ \to 27 \; + \; 2 \; = \; 29
  3. The answer is 29.

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