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Equations and Inequalities

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  • 6x= -48
    x= -8
  • Solve 144 = -9x
    -16
  • Solve the problem. -45 = 12 + x
    -57
  • A large box of cereal cost $3.50. How many boxes can you purchase with $28.00?
    8 boxes
  • X + 5 = -2
    x= -7
  • Missy is getting married and addressing invitations. She has at least 140 envelopes and has addressed 26 of them. Write an inequality that describes how many more invitations must be addressed.
    x is greater than or equal 114
  • A Dodge viper can go 177 mph at most. What inequality describes how fast the car can go?
    S < 177
  • Solve the problem. -28 = 3.5x
    -8
  • Stephine's Youtube channel has more than 2,000 subscribers. What inequality describes how many subscribers she has?
    S > 2,000
  • Micah and his brother found some cash at a bus stop. They split the money evenly, each getting $16. How much money did they find?
    x = $32
  • Solve the problem. x + 54 = 76
    22
  • A lake is rising at a rate of 4 inches per hour. If the lake rises more than 36 inches, then it will cause flood damage. How long can the lake rise at this rate without causing flood damage?
    x less than or equal to 9 hours
  • A recipe calls for 2.5 cups of sugar. You have already put in 0.75 cups. How many more cups of sugar does the recipe call for?
    x = 1.75
  • Name the Variable and the Equation for the following word problem. Xander collected four times as many stamps as his cousin. If Xander collected 60 stamps, then how many did his cousin collect?
    Variable: # stamps Equation: 4x = 60
  • Sam can join a gym for $25.00 per month or for a flat rate of $500.00. What is the minimum number of months Sam would have to be a gym member to make the flat rate a better choice?
    x > 20
  • Jefferson High School has an enrollment of 1864 students. In May, 564 students will graduate. How many students will be enrolled after graduation?
    1300
  • -7x < 98
    x > -14
  • Dwight read at least 100 pages of a book. How many pages could he have read?
    Any number greater than or equal to 100
  • If k = 8 is the statement true of false. 5k < 39
    False
  • Max is creating a playlist and needs at most 180 minutes worth of music. He currently has 45 minutes. How many more minutes of music does Max need to include in the playlist?
    less than or equal to 135
  • Jada swam 200 meters more than Molly. Jada swam a total of 800 meters. How many meters did Molly swim?
    600
  • Five less than y is five. What is y?
    y= 10
  • In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.
    x > 3
  • k - 6 > 2
    8
  • 29 > x + 12
    x < 17
  • x - 10.6 = 16.9
    27.5
  • 12x < 55.2
    4.6
  • Solve the equation. 2.1x = 23.1
    11
  • True of False 6x = 108, if x = 18
    True
  • 86 > x - 18
    104