Translating Words into Algebraic Expressions

This lesson covers basic algebraic operations, focusing on addition, subtraction, multiplication, and division. It explains the commutative properties of addition and multiplication, the non-commutative nature of subtraction and division, and the importance of order and grouping in algebraic expressions. The lesson includes practice problems to reinforce these concepts.

What is the main focus of this algebra lesson?

• Understanding word problems and converting them into algebraic expressions

• Solving quadratic equations

• Learning about geometric shapes

• Graphing linear equations

Which of the following words is associated with addition?

• Quotient

• Sum

• Product

• Difference

In the phrase 'seven increased by a number', what does 'a number' represent?

• A known value

• A variable

• A coefficient

• A constant

Which property of addition allows you to change the order of the numbers being added?

• Distributive property

• Associative property

• Identity property

• Commutative property

What is the correct algebraic expression for 'eight less than a number'?

• x + 8

• 8 - x

• 8 + x

• x - 8

Which of the following operations is not commutative?

• Subtraction

• None of the above

• Multiplication

• Addition

How would you write 'the product of a number and 12' in algebraic form?

• 12 / x

• 12 - x

• 12 + x

• 12 * x

What phrase is used to indicate grouping in algebraic expressions?

• The sum of

• The product of

• The quantity

• The difference of

How would you write 'the quantity six plus seven divided by two' in algebraic form?

• 6 + (7 / 2)

• (6 / 7) + 2

• (6 + 7) / 2

• 6 + 7 / 2

If John has D dollars and withdraws X dollars each week for 15 weeks, what is the expression for the amount left?

• D + 15X

• D - 15X

• D * 15X

• D / 15X