Writing Algebraic Expressions with Two Operations

This video tutorial by Mr. J covers how to write algebraic expressions from given phrases, focusing on expressions with two operations. It emphasizes the importance of understanding keywords and the order of operations. The video provides four examples, each demonstrating how to translate a phrase into an algebraic expression using operations like addition, subtraction, multiplication, and division. The tutorial aims to build a solid foundation for algebra and problem-solving skills applicable in real-life situations.

Why is recognizing keywords important when writing algebraic expressions?

• It makes the expressions longer.

• It helps in understanding the operations needed.

• It makes the expressions look neat.

• It helps in memorizing the expressions.

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

• Division

• Subtraction

• Addition

• Multiplication

How would you correctly write the expression for 'the sum of a number x and eight, then multiply by 10'?

• x + 8 * 10

• 10 * x + 8

• (x + 8) * 10

• x * 10 + 8

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

• Division

• Multiplication

• Addition

• Subtraction

How would you write the expression for 'the quotient of 25 and a number y, increased by a number m'?

• 25 + y / m

• 25 / y * m

• 25 / (y + m)

• (25 / y) + m

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

• Division

• Addition

• Subtraction

• Multiplication

How would you write the expression for 'subtract a number w from 81, then divide by two'?

• w - 81 / 2

• 81 - (w / 2)

• (81 - w) / 2

• 81 / (w - 2)

How can you represent division in an algebraic expression?

• Using a multiplication sign

• Using a fraction

• Using a subtraction sign

• Using a plus sign

How would you write the expression for 'five times the difference of 33 and a number x'?

• 5 - (33 + x)

• 5 * (33 - x)

• 5 + (33 - x)

• (33 - x) / 5

What should you do after writing out your algebraic expression?

• Double or triple check it with the original phrase

• Change the numbers

• Erase it

• Ignore it