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Algebraic Expressions Adventure!

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Algebraic Expressions Adventure!

Help plan a pop-up food stall for a weekend festival. Simplify expressions, evaluate them, and explain what each part represents. Show your working where needed.

Decode the expression

The stall’s predicted profit, in dollars, is 8n - 35, where n is the number of meals sold.

1.In 8n - 35, identify the coefficient of n, the variable, and the constant term.
2.A volunteer says the constant term is 35 because the expression contains “minus 35”. Is this correct? Explain using the signed term.

Build and simplify

Use like terms carefully. Keep each expression in a simplified form.

3.The stall sells x toasted sandwiches at $7 each and y fruit cups at $4 each. Write an expression for the total sales revenue.
4.A supply order costs 3x + 2y + 5x - y dollars. Simplify the expression by collecting like terms.
5.A square banner has side length (3a + 2) cm. Write and simplify an expression for its perimeter.

Expand and substitute

The stall models costs and revenue before choosing a menu.

6.Expand and simplify 4(2p - 3) + 5.
7.The expression for revenue is 7x + 4y. Find the revenue when x = 12 sandwiches and y = 9 fruit cups.
8.Evaluate 2m² - 3m + 1 when m = -2. Show how you handle the negative value.

Crack the code

Use algebra to solve the final planning puzzles.

9.A pack contains 4 identical drink bottles and costs $18. Write an equation using d for the cost of one bottle, then solve it.
10.A tray holds t muffins. Three full trays and 5 extra muffins make 44 muffins altogether. Form an equation and find t.
11.A volunteer simplifies 5(2x + 3) as 10x + 3. Identify the error and give the correct simplification.

3 printable pages

  • Algebraic Expressions Adventure!, page 1 of 3: Decode the expression, Build and simplify

    Page 1

  • Algebraic Expressions Adventure!, page 2 of 3: Expand and substitute, Crack the code

    Page 2

  • Algebraic Expressions Adventure!, page 3 of 3: 10. A tray holds t muffins. Three full trays and 5 extra muffins make 44 muffins…

    Page 3

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