Math Language Translation Quiz

Translation: English to Math Language

• Sum of two numbers represented as: x + y = 10
• Square root of 9 plus x equals 5: √9 + x = 5
• Two added to a number subtracted from 10 equals three: 10 - (x + 2) = 3
• The set of integers (ℤ) is a subset of the set of real numbers (ℝ): ℤ ⊆ ℝ
• The sum of two consecutive odd numbers equaling eight: (x) + (x + 2) = 8
• Membership in the intersection of sets A and B: x ∈ (A ∩ B)

Translation: Math Language to English Language

• Twenty divided by the sum of two and eight: 20 ÷ (2 + 8)
• Expression with x: (x - 5) + 6x
• Equation involving x: 3(x - 2) = x + 3
• Membership in the real numbers as a subset of complex numbers: x ∈ ℝ ⊆ ℂ
• For all x, y in real numbers: (x² + y²) = x² + 2xy + y²

Classification of Entries

• English Noun: cat
• Mathematical Expression: 2
• English Sentence: The word ‘cat’ begins with the letter ‘k’
• Mathematical Sentence: 1 + 2 = 4
• Mathematical Expression: 5 − 3
• English Sentence: The cat is black
• Mathematical Expression: x
• Mathematical Sentence: x − 1 = 0
• Mathematical Sentence: t + 3 = 3 + t
• Mathematical Sentence: 1 · x = x

Compound Statements in Symbolic Form

• Today is Friday and it is raining: p ∧ q
• It is not raining and I am going to a movie: ¬q ∧ r
• I am going to a basketball game or I am going to a movie: s ∨ r
• If it is raining, then I am not going to the basketball game: q → ¬s