Writing Algebraic Expressions with Variables

The video tutorial by Mr. J covers how to write algebraic expressions, starting with expressions involving one operation and progressing to those with two operations. It emphasizes the importance of recognizing keywords and understanding the order of operations. The tutorial provides examples of expressions using multiplication, division, addition, and subtraction, and explains different ways to represent these operations. The video concludes with a reminder to double-check expressions against the original phrases to ensure accuracy.

What does the keyword 'product' indicate in an algebraic expression?

• Multiplication

• Subtraction

• Addition

• Division

What does the keyword 'sum' indicate in an algebraic expression?

• Division

• Subtraction

• Multiplication

• Addition

Which symbol should be avoided when indicating multiplication to prevent confusion?

• X

• Dot (.)

• Parentheses ()

• Asterisk (*)

Which of the following is a correct way to represent multiplication?

• Using a minus (-)

• Using a slash (/)

• Using a plus (+)

• Using an asterisk (*)

In the expression '7 less than r', what is the correct form?

• r + 7

• 7 - r

• r - 7

• 7 + r

In the expression 'x divided by 12', which is a correct representation?

• x * 12

• x / 12

• 12 / x

• 12 * x

How should the expression 'the sum of x and 8, then multiplied by 10' be correctly represented?

• (x + 8) * 10

• x + 8 * 10

• 10 * (8 + x)

• 10 + x * 8

What does the keyword 'difference' indicate in an algebraic expression?

• Division

• Multiplication

• Addition

• Subtraction

What is the correct representation for 'the quotient of 25 and y, increased by m'?

• (25 / y) + m

• m + 25 / y

• 25 / y + m

• 25 + m / y

How should the expression 'subtract w from 81, then divide by 2' be represented?

• 2 / (81 - w)

• 81 - (w / 2)

• (w - 81) / 2

• (81 - w) / 2