Translating Verbal Problems into Mathematical Expressions

Mrs. Newman reviews key math vocabulary and explains how to translate sentences into mathematical expressions and equations. The video covers terms like 'product', 'difference', 'sum', and 'quotient', and delves into the nuances of 'less than' and 'more than'. Students practice translating sentences into expressions and equations, with examples illustrating the importance of word order. The video concludes with practice problems to reinforce learning.

What is the result called in a multiplication problem?

• Difference

• Product

• Sum

• Quotient

Which term means to subtract and switch the order of terms?

• Sum

• Difference

• Less than

• Quotient

How would you write 'b decreased by eight' as a mathematical expression?

• 8 + b

• 8 - b

• b - 8

• b + 8

What does 'twice the difference of b and eight' translate to?

• b - 8

• 2(b - 8)

• b + 8

• 2(b + 8)

How would you express '2 times the quantity of b less than 8'?

• 2(8 + b)

• 2(b + 8)

• 2(8 - b)

• 2(b - 8)

What does the word 'is' signify in a mathematical equation?

• Equals

• Addition

• Subtraction

• Multiplication

How would you write 'the sum of twice a number and 5 is 35'?

• 2(x + 5) = 35

• x + 5 = 2(35)

• 2x + 5 = 35

• x + 2(5) = 35

What is the correct translation for 'twice the sum of a number and 5 is 35'?

• x + 2(5) = 35

• 2x + 5 = 35

• 2(x + 5) = 35

• x + 5 = 2(35)

How would you express '2 times the difference of a number and 5 is 18 less than that same number'?

• 2(x + 5) = 18 - x

• 2(x + 5) = x - 18

• 2(x - 5) = 18 - x

• 2(x - 5) = x - 18

What is the correct translation for 'twice the sum of a number and 2 is 10 more than that number'?

• 2(x - 2) = 10 + x

• 2(x - 2) = x + 10

• 2(x + 2) = 10 + x

• 2(x + 2) = x + 10