Translating Equations Flashcard

Front

What is the algebraic representation of 'The sum of a number and 5 is 12'?

Back

x + 5 = 12

Front

How do you translate 'The sum of twice a number and 7 is 25' into an algebraic equation?

Back

2x + 7 = 25

Front

What is the algebraic equation for 'The difference between a number and 8 is 20'?

Back

x - 8 = 20

Front

Translate 'The difference between a number and 10 is 15' into an algebraic equation.

Back

x - 10 = 15

Front

How do you express 'Twice a number decreased by 3 is equal to 9' in algebraic form?

Back

2x - 3 = 9

Front

What does the term 'sum' indicate in a word problem?

Back

The term 'sum' indicates addition.

Front

What does the term 'difference' indicate in a word problem?

Back

The term 'difference' indicates subtraction.

Front

How do you identify the variable in a word problem?

Back

The variable is usually represented by a letter (e.g., x) that stands for an unknown quantity.

Front

What is the first step in translating a word problem into an algebraic equation?

Back

Identify the key terms and relationships described in the problem.

Front

What is the importance of translating word problems into algebraic equations?

Back

It allows for the application of algebraic methods to solve real-world problems.