Exploring Algebraic Expressions in Writing

The video tutorial covers writing algebraic expressions and equations. It begins with definitions of variables and expressions, then explains equations and open sentences. Key words for mathematical operations are discussed, followed by how to write expressions from phrases. The tutorial also covers writing equations from sentences and data tables, providing examples throughout.

What is a variable in algebra?

• A mathematical operation

• A fixed number

• A symbol, usually a letter, representing one or more numbers

• A number that can change

Which of the following is an algebraic expression?

• a - 7 = b

• 4x - 6 = 3

• 2x - 3

• 3y + 2x = 7

What does the term 'open sentence' refer to in algebra?

• An expression without an equal sign

• An equation with more than one variable

• An equation with one variable

• A mathematical phrase with numbers and variables

Which word indicates the use of addition in an algebraic expression?

• Product

• Increased by

• Quotient

• Difference

How would you write 'the product of 7 and x' as an algebraic expression?

• 7x

• 7 / x

• 7 - x

• 7 + x

What does 'more than' indicate in an algebraic expression?

• Addition with flipped order

• Multiplication with flipped order

• Subtraction without changing order

• Addition without changing order

How would you write '9 less than twice m' as an algebraic expression?

• 2m + 9

• 9 + 2m

• 2m - 9

• 9 - 2m

What does the word 'is' signify in an equation?

• Subtraction

• Multiplication

• Equal sign

• Addition

How would you write the equation for 'the total cost is the number of cans times 70 cents'?

• T = C / 70

• T = 70C

• T = 70 - C

• T = 70 + C

If each worker builds 13 radios, how would you write the equation for the number of radios built by W workers?

• R = W - 13

• R = W + 13

• R = 13W

• R = 13 / W