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Equations and Expressions

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  • Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00, what was the price of one pair of socks.
    5(2x+12)=125; x=$6.50
  • Mr. Parker purchased shrubs and trees for his yard for a total of $260. The shrubs cost $25 each and the trees cost $110 total. Write an equation to determine the number of shrubs purchased.
    25x + 110 = 260
  • 3.2x + 12 = 48
    x = 11.25
  • -8(3f-9)
    -24f + 72
  • Mr. Glass asked his students to write an expression that was equivalent to -5(4x-9). Which students correctly completed the task?
    Lang, Caitlyn and Clarita
  • Factor the expression by dividing out the GCF: 10c - 25
    5(2c - 5)
  • On Halloween night, Mack collects x pieces of candy and then eats 7 pieces. The next day he eats 10% of his candy pieces and has 63 pieces remaining. How many pieces of candy did he collect on Halloween night?
    0.90(x-7) = 63; x=77pieces of candy
  • A home improvement store advertises 60 square feet of flooring for $287.00 including and $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring.
    80 + 60x = 287
  • simplify: 2.5(r-1)
    2.5r - 2.5
  • 7.8c +6p - 3.4c - 10
    4.4c + 6p - 10
  • 6m + 4(-2m + 6) = 10
    m = 7
  • During a film festival, the first film ticket is priced at $16.00 and each additional ticket is $11. If Rico spends $71, how many film tickets did he purchase?
    16 + 11x = 71; x = 5
  • Factor the expression by dividing out the GCF: 2x + 2y
    2(x+y)
  • (t+p)4
    4t+4p
  • Solve: -5x + 9 = 24
    x = -3
  • 28 - 2(5a -3) = 47
    a = -1.3
  • Ms. Fredrick purchased a bottled water for $1.25 and 6 doughnuts. The total cost was $6.90. Write an equation to determine the cost of the doughnut.
    1.25 + 6x = 6.90
  • 10 = -9 - X
    X = -19
  • What expression (simplified) represents the perimeter of the rectangle below?
    6x - 2
  • SImplify the expression by distributing and combining like terms: 5(b+6) - 3b
    2b + 30
  • Asher's sister is eight years older than Asher. Their combined ages add up to 20. How old is Asher?
    (a+8) + a = 20; Asher is 6.
  • 8k + 4 -11k +9
    -3k + 13
  • Simplify the expression by distributing and combining like terms: 8y - 1/2(4y - 16)
    6y + 8
  • Factor the expression by dividing out the GCF: -6b - 15
    -3(2b + 5)
  • 5d - 7 - d + 4
    4d - 3