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Linear Equations

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  • Simplify the expression. - 1/2(10x + 30) + 5
    -5x-10
  • What is the correct solution to the equation shown? 0.4(5x – 12) + 0.5x = 15.2
    x=8
  • Solve the equation: 13-1/9x=22
    x= -9
  • Simplify the expression by distributing and combining like terms: -7 + 0.3(-4x + 20) + 8.8x
    7.6x-1
  • 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
  • The perimeter of the rectangle below is 42 inches. Find the value of x.
    x=4
  • Which is the correct simplified version of the expression shown after distributing and combining like terms?
    5x+6
  • Simplify: 42 = -4 + 8x + 12 + x
    x=4
  • Simplify the expression. 10 + 8(2x – 7) + x
    17x-46
  • Solve the equation: -12c – 4 + 7.5c – 11 = -6
    c = -2
  • Simplify: -a + 4 + 5a – a – 6
    3a - 2
  • Solve the equation: 9x + 6(x – 2) = 3(5x – 4)
    All Real Numbers
  • Solve the equation: 3 – 5(x + 4) = 8(2x – 3)
    x= 1/3
  • 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
  • Describe in your own words how you can tell whether an equation has no solutions.
    each side of the equation will not equal each other, for example 1=4
  • Simplify the expression. 3.2 + 8.9w – 22 – 11.2w – 3.2
    -2.3w-22
  • 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
  • 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
  • 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
  • Solve the equation: 2(14x – 4) = 4(7x – 2) + 2
    No Solution
  • Solve the equation: -8x – 3(2x + 1) = 67
    x= -5
  • Describe in your own words how you can tell whether an equation has an infinite number of solutions.
    each side of the equation will equal each other, for example 3=3
  • Which of the following equations would have no solution? A. 10x + 3 = 3 + 10x B. 3(-2x + 4) = -6x - 12
    B
  • 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
  • Simplify an expression for the perimeter of the equilateral triangle shown below.
    5.25x - 6
  • Solve the equation below.
    x= 20
  • Solve the equation: -0.2(25x + 5) – 5 = 4
    x= -2
  • Solve the equation: 34 = -2 + 9x + 16 + x
    x=2