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6th Grade Topic 2 Review

  •  English    18     Public
    Equations and Inequalities
  •   Study   Slideshow
  • x - 3 = 10
    13
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  • A symphony orchestra typically uses twice as many violins as cellos. If 36 violins are used, solve the equation 2x = 36 to find the number of cellos used.
    x = 18; There are 18 cellos used.
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  • Grant has $7 in his pocket after spending $8 at the movies. The equation shown can be used to find d, how many dollars he had before going to the movies. What step should be taken to get the variable alone? d - 8 = 7
    Add 8 to each side of the equation.
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  • Which is a solution to the equation? 22 - x = 14
    8
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  • Five siblings buy a $100 gift certificate for their parents and divide the cost equally. Which equation can be used to find s, the number of dollars each sibling pays?
    5s = 100
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  • Which graph represents the solutions of the inequality d < 23?
    B
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  • Which numbers make the inequality x < 19 true? Choose all numbers that apply.
    A, B, D
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  • What value of p makes the following equation true? p ➗15 = 3
    p=45
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  • Elizabeth is 64 inches tall, which is 9 inches taller than her brother Mac. Solve the equation m + 9 = 64 to find m, Mac’s height in inches.
    m= 55 inches
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  • What step should be taken to get the variable alone in the equation shown? 7x = 84
    Divide each side by 7.
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  • What value of x makes the following equation true? x - 20 = 4
    x = 24
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  • Horace bought 84 pizzas for a school awards banquet. There will be 12 tables set up for the banquet, and Horace wants to divide the pizzas evenly between the tables. He thinks that each table will have 7 pizzas. Use the equation 84 ÷ p = 12
    Substitute 7 for p and Horace is correct.
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  • Kelly is on the rowing team. This week, Kelly’s goal is to row 16 miles. So far, she has rowed 9 3/8 miles. Use the equation 9 3/8 + r = 16 to find how many more miles Kelly needs to row.
    6 5/8 miles
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  • Jose wrote that 9 + 9 = 18. Then he wrote that 9 + 9 + n = 18 − n. Are his equations balanced?
    He added the same variable that he subtracted to the other side. It is not balanced.
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  • The record for a city’s greatest 1-day rainfall is 8.2 inches. Write an inequality to represent a rainfall that would beat this record.
    r > 8.2 is one example.
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  • Jake finished 9 math problems on a homework assignment of 15 problems. Which equation can be used to find n, the number of problems Jake has left to do?
    n + 9 = 15 is one example.
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