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Algebra Expressions Introduction

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Algebra Expressions Introduction

Help plan a fundraising stall for a local sports club. Use variables to describe costs and quantities. Show your working where useful.

Decode the expressions

Read each expression carefully: a variable is a letter representing a number, a coefficient multiplies a variable, and a constant has no variable.

1.The club sells x raffle tickets for $3 each. Which expression gives the money collected, in dollars?
  • x + 3
  • 3x
  • x − 3
  • 3 + x
2.In 7p + 4, identify the coefficient of p and the constant.
3.A stall's total cost is 5a + 2b + 8. Select all the constants in this expression.
  • 5
  • a
  • 2
  • b
  • 8
4.In 6m − 3n + 2, write down both variables.

Group and simplify

Like terms have the same variable part. Combine their coefficients, keeping the variable part unchanged.

5.The club buys x bags of popcorn. Which terms are like terms with 4x? Select all that apply.
  • 9x
  • 4y
  • −2x
  • x²
6.Simplify the expression for ticket income: 5t + 3t.
7.Simplify the cost expression: 8c − 3c + 6.
8.Two supplies are counted separately. Simplify 3a + 2b + 4a + b.

Build an expression

Translate the fundraising plans into algebra, then explain your thinking.

9.A number n is tripled, then 5 is added. Write this as an algebraic expression.
10.Maia says 2x + 5x + 3 simplifies to 10x. Is she correct? Explain why or why not, and give the correct simplified expression.
11.Write your own expression with at least three terms that can be simplified, then simplify it. Your expression must include x and a constant.

2 printable pages

  • Algebra Expressions Introduction, page 1 of 2: Decode the expressions, Group and simplify

    Page 1

  • Algebra Expressions Introduction, page 2 of 2: Build an expression

    Page 2

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