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4.01 Representing algebraic expressions

Interactive practice questions

Oranges are being stored in two different sized containers. The small container holds $x$x oranges, while the large container holds $y$y oranges.

Single orange
Small container, which holds $x$x oranges
Large container, which holds $y$y oranges

Write an algebraic expression to represent the total number of oranges shown here:

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Sandy is putting apples into crates of two different sizes. The small crate contains $x$x apples, while the large crate contains $y$y apples.

Mohamad is putting apples into boxes of two different sizes. The small boxes contain $m$m apples, while the large boxes contain $n$n apples.

Bananas are being put into crates of two different sizes. The small crates contain $x$x bananas, while the large crates contain $y$y bananas.

Fully simplify your answer.



Write, read, and evaluate expressions in which letters stand for numbers.


Write expressions that record operations with numbers and with letters standing for numbers.


Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.


Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

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