Practice Algebra as Language in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The perspective that algebra is a formal language with syntax and grammar for expressing mathematical ideas and relationships precisely.
Just as English has grammar, algebra has rules for combining symbols meaningfully.
Example 1
easyTranslate into algebra: 'Five more than twice a number is seventeen.'
Example 2
mediumExpress in algebra: 'The product of two consecutive integers is 12 more than twice their sum.'
Example 3
easyWrite an equation: 'A number decreased by 7 equals 15.'
Example 4
mediumExpress: 'The square of the sum of a and b' vs 'The sum of the squares of a and b'. Are they equal?