Practice Algebraic Representation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Using algebraic expressions and equations to represent and analyze mathematical relationships and real-world situations.

Translating 'the cost is 5 plus 2 per item' into C = 5 + 2n.

Example 1

easy
Represent this situation algebraically: 'Sarah has 5 more apples than Tom. Together they have 23 apples.'

Example 2

medium
Write an algebraic formula for the perimeter of a rectangle with length \ell and width w.

Example 3

easy
Write an expression for the total cost of n books at \$8 each.

Example 4

medium
A taxi charges \3 base fare plus \2 per mile. Write a formula for the fare F in terms of miles m.