Algebra 1: Module 1 Translations Quiz

Study Notes

Addition Terms

Key phrases include "sum of," "plus," "more than," "increased by," and "total."

Subtraction Terms

Important expressions are "difference of," "minus," "less than," "decreased by," and "subtracted from."

Multiplication Terms

Common terms consist of "product of," "times," "percent of," "per," "twice" (indicating multiplication by 2), "doubles" (also indicates multiplication by 2), and "triples" (indicates multiplication by 3).

Division Terms

Relevant phrases are "quotient of," "ratio of," "half of" (indicates dividing by 2), and "third of" (indicates dividing by 3).

Translations

"Sum" and "difference" are specific terms used when performing addition or subtraction first, contrary to standard order of operations.
When translating complex phrases into algebra, divide the phrases into manageable parts and translate each section incrementally.

Larger Expressions

The process for translating larger expressions remains consistent: segment the phrases and translate each piece sequentially.
Example breakdown: In the phrase "twice the sum of x and 5,"
- Step 1: Identify key terms; "twice" translates to "two times," and "sum of x and 5" translates to "addition—in parentheses."
- Step 2: Verbalize the translation; "twice" implies multiplication by 2, and "sum of x and 5" implies adding x and 5, requiring parentheses for proper order of operations.
- Step 3: Final translation results in "two times the quantity (x plus 5)."

Description

Test your understanding of key terms used in Algebra for addition, subtraction, and multiplication. This quiz focuses on the terminology relevant to translations in Algebra 1. Review the definitions, and enhance your mathematical vocabulary.