stupid fucking maths

• What is the result of adding `4x² + 7x²`?

  `11x²`
• What is the process of subtracting like terms?

  Subtract coefficients while keeping variables constant
• What are like terms?

  Terms with the same variables and powers
• What is the variable and exponent of the term 3x²?

  • Variable: x
  • Exponent: 2
• What should you check to identify like terms?

  Same variables with the same exponents
• What are the components of a term in algebra?

  • Variable
  • Exponent
  • Coefficient
• Which terms are like terms in the expression 4x + 2x - 3?


  4x and 2x
• What is the exponent of the term `7x²`?

  2
• Which term is a like term to 3x²?

  5x²
• In the term `6x³`, what is the coefficient?


  6
• What is the result of subtracting `6x³ – 2x³`?

  4x³
• In the term `2x³`, what is the exponent?


  3
• What is the final result after simplifying `–6y + 15`?


  –6y + 15
• What is the result of expanding `2(3x + 4)`?

  6x + 8
• How do you subtract the expression `5m – 3m – m`?

  • All terms are like terms with variable `m`
  • Subtract coefficients: \(5 - 3 - 1 = 1\)
  • Result: \(m\)
• How do you simplify the expression 3(y – 2) + 4y?

  1. Expand: 3(y – 2) = 3y – 6
  2. Combine: 3y – 6 + 4y = 7y – 6
• What is the factorization of 12x and 8?

  4(3x + 2)
• What is the common factor in the expression 12x and 8?

  4
• What is the coefficient of the term `4x²`?


  4
• How do you add like terms?

  Sum their coefficients, keep variable and exponent
• What is the result of `3y - 2y + 5y`?

  `6y`
• What remains constant when subtracting like terms?

  The variable and exponent remain constant
• How can you convert a decimal to a fraction?

  • Write as a fraction over a power of 10
  • Example: 0.8 → 8/10
• How can the decimal number 3.14 be expressed as a mixed fraction?

  As 3 14/100
• What is the result of adding the integers 5 and -3?


  2
• What are the steps to convert an integer to a decimal?


  • Add a decimal point
  • Example: 5 → 5.0
• How do you convert an integer to a fraction?

  • Write the integer over 1
  • Example: 7 → 7/1
• What is the sum of 30% and 45%?

  75%
• How do you convert a percentage to a fraction?

  • Write over 100 and simplify
  • Example: 70% → 7/10
• How do you convert a fraction to a decimal?

  • Divide numerator by denominator
  • Example: 3/4 → 0.75
• What is the rule for multiplying two positive integers?

  Positive × Positive = Positive
• What are the rules for addition and subtraction of fractions?

  • Must have common denominators
  • Addition: Add numerators, keep denominator
  • Subtraction: Subtract numerators, keep denominator
• What steps are involved in converting a decimal to a percentage?

  • Multiply by 100 and add %
  • Example: 0.45 → 45%
• What are the rules for addition and subtraction of percentages?

  • Convert to decimals for easier operations
  • Add or subtract decimals
  • Convert back to percentage
• What are the rules for addition and subtraction of integers?

  • Positive + Positive: Add, keep sign
  • Negative + Negative: Add, keep negative sign
  • Positive + Negative: Subtract smaller from larger, take larger's sign
• What is the result of adding the decimals 2.5 and 1.75?

  4.25
• What is the process to convert a percentage to a decimal?

  • Divide by 100
  • Example: 60% → 0.6
• What is the sum of the fractions $\frac{1}{2}$ and $\frac{3}{4}$?


  $\frac{5}{4} =$$1 \frac{1}{4}$
• What is the result of multiplying two negative integers?

  Negative × Negative = Positive
• What are the rules for addition and subtraction of decimals?

  • Align decimal points vertically
  • Add or subtract column by column
  • Borrow when necessary