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Algebra Foundations Worksheet

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Algebra Foundations Worksheet

Read each question carefully. Use a letter for an unknown or changing number, and show your thinking where asked.

Variables and constants

Identify the letter variable and the number constant in each expression. Write both in your answer.

1.For the expression p + 11, identify the variable and the constant.
2.For the expression 6 − r, identify the variable and the constant.
3.Which options are algebraic expressions? Select all that apply.
  • m + 8
  • 4 × 6
  • 20 − q
  • 13
4.In an algebraic expression, what does a variable usually stand for?
  • A value that may vary or is not yet known
  • A number that must always be zero
  • A symbol that means addition
  • A value that can never change

Writing and matching expressions

Translate each description into an algebraic expression. Use the letter shown.

5.Write an expression for 9 more than a number n.
6.Write an expression for 14 take away a number k.
7.Write an expression for three times a number t, then add 2.
8.Match each expression with its description.
  • a + 6
  • 12 − b
  • 4c
  • d ÷ 5
  • e − 3
  • Four times c
  • Three subtracted from e
  • 12 minus b
  • A number a increased by 6
  • d shared into five equal parts
9.Wiremu has $x and spends $7. Write an expression for the money he has left.

Substitution and reasoning

For evaluation questions, substitute the given value for the variable, then evaluate. For the other questions, explain the concept or translate and match expressions as directed.

10.If m = 8, what is the value of m + 5?
11.If q = 4, evaluate 3q − 2.
12.Explain how a variable differs from a constant. Include one example of each.
13.Write an algebraic expression using b that means five more than twice b.
14.Match each expression with its description.
  • u + 3
  • 15 − v
  • 2w
  • z ÷ 4
  • Divide z by 4
  • Add 3 to u
  • Twice w
  • Subtract v from 15

3 printable pages

  • Algebra Foundations Worksheet, page 1 of 3: Variables and constants, Writing and matching expressions

    Page 1

  • Algebra Foundations Worksheet, page 2 of 3: Substitution and reasoning

    Page 2

  • Algebra Foundations Worksheet, page 3 of 3: 12. Explain how a variable differs from a constant. Include one example of each.

    Page 3

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