Translating English to Math: Expressions and Equations

The lecture introduces word problems in math, explaining why they can be challenging. It focuses on translating English phrases into mathematical expressions, covering basic operations like sum, difference, product, and quotient. The lecture progresses to more complex expressions and concludes with a brief mention of decimal fractions.

Why are word problems often considered difficult in math?

• They involve complex numbers.

• They require translating text into equations.

• They are always about geometry.

• They have no clear solution.

What does the phrase 'the sum of a number and ten' translate to in mathematical terms?

• 10 - x

• 10 / x

• x + 10

• x - 10

How should you write 'the difference of a number and four'?

• x + 4

• 4 + x

• x - 4

• 4 - x

In algebra, how is the product of a number and 28 usually written?

• 28x

• x28

• 28 + x

• x / 28

What does the quotient of a number and 25 translate to?

• 25 / x

• x * 25

• x / 25

• 25 + x

How should you translate 'four more than a number'?

• 4 + x

• x - 4

• 4 - x

• x + 4

What is the correct translation for 'six less than a number'?

• x - 6

• x + 6

• 6 + x

• 6 - x

How would you write 'five times the sum of twice a number and negative five'?

• 5(x + 5)

• 5(x - 5)

• 5(2x - 5)

• 5(2x + 5)

Translate 'six times the sum of twice the opposite of a number and negative eight'.

• 6(-2x + 8)

• 6(2x - 8)

• 6(2x + 8)

• 6(-2x - 8)

What is the correct translation for 'the sum of negative ten and six times the opposite of a number'?

• 10 + 6x

• 10 - 6x

• -10 - 6x

• -10 + 6x