Translating Sentences into Algebraic Expressions

This video tutorial focuses on translating sentences into algebraic equations and solving them. It provides multiple examples, each demonstrating different mathematical operations such as addition, subtraction, multiplication, and division. The tutorial also offers tips on identifying keywords in sentences that indicate specific operations. Additionally, it introduces an algebra course available on Udemy, covering various topics like fractions, linear equations, and quadratic equations, along with quizzes for practice.

What operation does 'more than' suggest in an equation?

• Subtraction

• Multiplication

• Division

• Addition

What is the result of dividing both sides of the equation 3x = 21 by 3?

• x = 21

• x = 9

• x = 7

• x = 3

What is the first step in solving the equation 3x + 5 = 26?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 5 from both sides

• Add 5 to both sides

How do you represent 'six less than five times a number' in an equation?

• 6 + 5x

• 5x + 6

• 6 - 5x

• 5x - 6

What is the value of x when 5x = 15?

• 3

• 7

• 2

• 5

What does the word 'quotient' indicate in an equation?

• Multiplication

• Addition

• Division

• Subtraction

In the equation 'x divided by 3 equals 3', what is x?

• 6

• 3

• 9

• 1

What does 'the difference between four times a number and 7 is 5' translate to?

• 7 - 4x = 5

• 7 + 4x = 5

• 4x - 7 = 5

• 4x + 7 = 5

What is the correct equation for 'seven more than the quotient of a number and three is ten'?

• x/3 - 7 = 10

• 7 - x/3 = 10

• x/3 + 7 = 10

• 7 + x/3 = 10

How is 'five less than three times the sum of a number and 4' represented?

• 3(x - 4) + 5

• 5 - 3(x + 4)

• 3(x + 4) - 5

• 5 + 3(x + 4)