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Linear Equations

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    Linear Equations- Pre Algebra
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  • Simplify an expression for the perimeter of the equilateral triangle shown below.
    5.25x - 6
  •  15
  • The perimeter of the rectangle below is 42 inches. Find the value of x.
    x=4
  •  20
  • The area of the rectangle shown is 88 square inches, write an equation that could be used to find the value of x?
    6x+40=88
  •  25
  • Simplify: -a + 4 + 5a – a – 6
    3a - 2
  •  10
  • Which is the correct simplified version of the expression shown after distributing and combining like terms?
    5x+6
  •  15
  • Simplify the expression by distributing and combining like terms: -7 + 0.3(-4x + 20) + 8.8x
    7.6x-1
  •  20
  • Which is the correct first step to solve the linear equation shown? 25 – 2.5x = 40
    Subtract 25 from each side/get rid of the constant
  •  10
  • Solve the equation: 34 = -2 + 9x + 16 + x
    x=2
  •  15
  • Solve the equation: -8x – 3(2x + 1) = 67
    x= -5
  •  15
  • What is the correct solution to the equation shown? 0.4(5x – 12) + 0.5x = 15.2
    x=8
  •  15
  • Solve the equation below.
    x= 20
  •  20
  • A person weighs 120 lbs & is gaining 2 lbs a week. Another person weighs 155 lbs and is losing 1/2 lb each week. Write an equation that could be used to determine x, the number of weeks that it will take for them to weigh the same.
    120 + 2x = 155 - 1/2x
  •  25
  • Which of the following equations would have no solution? A. 10x + 3 = 3 + 10x B. 3(-2x + 4) = -6x - 12
    B
  •  10
  • When solving an equation, Kaitlyn gets to the last line of her work and is left with “3 = 3”. What does this mean?
    There are infinite solutions
  •  10
  • Write and solve an equation based on the following description: “11 less than three times a number is the same as 75 less than the product of -1 and the number”
    Equation: 3n-11=-n-75 Solution: n= -16
  •  25
  • A person could go to the gym and pay $12/day. A person could instead get a gym membership for $60 and pay $2/day that they go. Write and solve an equation to represent the amount of days this person would have to go the gym to make them =.
    14x=60+2x. x=5
  •  25