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Algebraic Expressions

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  • Write a verbal (or written) expression for 15(q + 8)
    the sum of a number and 8 times 15 or 15 times the sum of a number and 8
  • Write a verbal (or written) expression for 3(q - 7)
    The difference of q and 7 times 3 OR 3 times the difference of q and 7
  • How many terms are in the expression 4z + 7p + 18q + 2r?
    4 - terms are separated by addition or subtraction
  • What is an expression for the difference between a number and 8, then multiplied by 9?
    9(r - 8) or (r - 8) x 9
  • What is an expression for the product of 3 and a number
    3w
  • What step is shown? 12x - 4 = 13 becomes 4(3x-1) = 13
    Factoring
  • Write a verbal expression for 2y
    A number doubled OR double a number OR twice a number OR the product of two and a number, etc.
  • When solving the equation x-3 = 12, what inverse operation would you do?
    Add 3
  • When solving the equation 3x = 12, what inverse operation would you do?
    Divide by 3
  • Solve this equation: 12x - 4 = 20
    x =2
  • What property is shown: 5(x-3) becomes 5x - 15
    Distributive property
  • What is the numerical coefficient for x in the expression, x + 12 ?
    1
  • What is the numerical coefficient in the expression, 12 - x ?
    -1
  • Given the expression 3x + 4y + 2z + 9, identify the constant.
    9
  • Write a verbal (or written) expression for x + 3
    The sum of a number and three
  • What is the coefficient in this equation? 6x - 3 = 10
    6
  • What is an expression for the difference for twice a number and 9?
    2p - 9
  • Identify all parts of the expression 9p + q - 6w + 8. Hint: Use all of the vocabulary words.
    Terms are 9p, q, -6w, and 8 Variables are p, q, and w Numerical Coefficients are 9, 1, and -6 Constant is 8
  • Write a verbal (or written) expression for 3m - 2
    The product of three and a number minus two OR two less than the product of three and a number
  • What step is shown? 5x + 3x = 10 becomes 8x = 10
    Combining like terms
  • What is an expression for a number less than 15?
    15 - w