Algebra

• What is the sum of 5x and 4x?

  9x
• Why can you add 5x and 3x but not 5x and 8y?

  Because they are like terms, while 8y is not
• What do you get when you add 4y and 8y?

  12y
• How do you combine like terms in the expression 3√2 + 5√7 + 8√2 + 3√7?

  Add 3 and 8 for √2, and 5 and 3 for √7
• What is the result of adding 4x² and 9x²?

  13x²
• What is the final result of the expression 9x² + 6x + 5 + 3x² - 5x - 9?

  12x² + x - 4
• How do you simplify the expression 3x² + 7x - 4 - 8x² - 5x + 7?

  Combine like terms after distributing the negative
• What is a polynomial?

  A function with many terms
• What is a monomial?

  It is a single term expression
• What is a binomial?

  A polynomial with two terms
• What is a trinomial?

  A polynomial with three terms
• What is the result of multiplying 7x by x²?

  7x³
• How do you multiply a monomial by a trinomial?

  Distribute the monomial to each term
• What is the product of 5x² and 3x⁴?

  15x⁶
• What does FOIL stand for in binomial multiplication?

  First, Outside, Inside, Last
• What is the result of multiplying (3x - 4)(2x + 7)?

  6x² + 13x - 28
• What is the square of (2x - 3)?

  4x² - 12x + 9
• How do you multiply a binomial by a trinomial?

  Distribute each term of the binomial
• What is the result of multiplying 5x by -3x?

  -15x²
• How do you combine like terms after multiplying polynomials?

  Add or subtract coefficients of similar terms
• What is the property of exponents when multiplying like bases?

  Add the exponents
• What happens when you divide exponents with the same base?

  Subtract the exponents
• What is the result of raising an exponent to another exponent?

  Multiply the exponents
• Why do we add exponents when multiplying like bases?

  Because it combines all instances of the base
• What is the result of x⁴ divided by x⁷?

  x⁻³
• How do you convert a negative exponent to a positive one?

  Move the base to the opposite side
• What is the result of multiplying 3x⁴y⁵ by 5x⁶y⁷?

  15x¹⁰y¹²
• What is the product of 8x³y⁻² and 7x⁻⁸y⁵?

  56y³/x⁵
• What is the result of dividing 24x⁷y⁻² by 6x⁴y⁵?

  4x³/y⁷
• How do you simplify the expression 32x⁵y⁻³z⁴ divided by 40x⁻⁸y⁻⁷z⁻⁸?

  Divide coefficients and subtract exponents
• What is the result of 32 divided by 40?

  4/5
• What is the final answer when simplifying 32x⁵y⁻³z⁴ divided by 40x⁻⁸y⁻⁷z⁻⁸?

  4x¹³y⁴/z⁴
• What is the final answer when moving y to the bottom in the expression?

  Four x cubed divided by y to the seventh
• How do you simplify the expression $\frac{32x^5y^{-3}z^4}{40x^{-8}y^{-7}z^{-8}}$?


  Divide coefficients and simplify variables
• What is $32 \div 40$ simplified?


  $\frac{4}{5}$
• What is $x^5 \div x^{-8}$ simplified to?


  $x^{13}$
• How do you simplify $y^{-3} \div y^{-7}$?


  It simplifies to $y^{4}$
• What is the result of $z^4 \div z^{-8}$?


  $z^{12}$
• What is the result of raising $(3x^3)^2$?


  $9x^6$
• What is the difference between $5x^2$ and $5 +$$x^2$?


  They are not the same expression