Writing Expressions and Equations from Word Problems

This video tutorial covers the basics of writing expressions and equations from statements. It begins with definitions of key algebraic concepts such as quantities and variables, and then explains the differences between algebraic expressions and equations. The tutorial also introduces important terms like constants, operations, and coefficients. It provides examples of translating word problems into mathematical expressions and discusses the significance of order in operations. Finally, the video addresses writing inequalities and highlights the importance of recognizing key words in problem statements.

What is a quantity in algebra?

• A symbol representing an unknown

• Anything that can be measured or counted

• A mathematical statement with variables

• A number that changes over time

Which of the following is an algebraic expression?

• 2 + 3

• X + 5

• 10 / 2

• 7 - 2

What is the key difference between an algebraic expression and an algebraic equation?

• An expression always has an equal sign

• An equation has no variables

• An equation has an equal sign

• An expression has more variables

What is a constant term in algebra?

• A variable that changes

• A number that stays the same

• A variable that stays the same

• A number that changes

Which operation is represented by the term 'product'?

• Division

• Subtraction

• Addition

• Multiplication

In the expression 5X, what is the coefficient?

• 5

• None of the above

• X

• 5X

How would you translate 'the sum of a number X and 19 is equal to 47' into an equation?

• X - 19 = 47

• X + 19 = 47

• 19 + X = 47

• 19 - X = 47

What does the term 'quotient' indicate in a mathematical expression?

• Division

• Multiplication

• Subtraction

• Addition

Which symbol represents 'less than or equal to'?

• >

• <

• ≤

• ≥

How would you write 'the product of a number Y is less than 42' as an inequality?

• 19Y ≥ 42

• 19Y ≤ 42

• 19Y > 42

• 19Y < 42