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Modeling, Writing and Solving Equations and Inequalities with Variables on Both Sides

Quiz by Jessica Grima

Grade 8
Math (Archived)
Texas Essential Knowledge and Skills (TEKS)

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8 questions
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  • Q1
    Question Image
    300s
    8.8.C: Expressions, Equations and Relationships
  • Q2
    Question Image
    300s
    8.8.C: Expressions, Equations and Relationships
  • Q3
    300s
    8.8.C: Expressions, Equations and Relationships
  • Q4
    300s
    8.8.C: Expressions, Equations and Relationships
  • Q5
    Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same? (find the x-value)
    x= $0
    x= $84.99
    x= $ 0.01
    x= $100
    300s
    8.8.C: Expressions, Equations and Relationships
  • Q6
    A sunflower is 3 inches tall and grows 1 inch per week. A rose bush is 4.5 inches tall and grows 0.75 inches per week. Choose an inequality to show how many weeks, w, it will take for the sunflower to be taller than the rose bush.
    4.5 – 3 < 4.5w
    3w + 1 < 4.5w + 0.75
    3 + w > 4.5 + 0.75w
    4.5 + w > 3 + 0.75w
    300s
    8.8.A: Expressions, Equations and Relationships
  • Q7
    Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?
    3.5x + 25 < 7.5x + 17
    3.5x + 25 > 7.5x + 17
    3.5 + 25x < 7.5 + 17x
    3.5 + 25x > 7.5 + 17x
    300s
    8.8.A: Expressions, Equations and Relationships
  • Q8
    Which situation can be represented by this equation? 250 + 4x = 540 – 7x
    Joseph started with 250 cans of food for a food drive. He collects 4 more cans every day. Kelley started with 540 cans of food for the food drive. She collects 7 more cans every day. What is x, the number of days that need to pass for Joseph and Kelley to have the same number of cans of food?
    Joseph started with $250 in his savings account and spends $7 every week. Kelley started with $540 in her savings account and adds $4 every week. What is x, the number of weeks that need to pass for Joseph and Kelley to have the same amount of money?
    Joseph earns 254 points on each level of a video game. Kelley earns 533 points on each level of the same video game. What is x, the number of levels that Joseph and Kelley would have to play in order for them to have an equal number of points?
    Joseph has a bucket that originally contained 250 fl oz of water and is being filled at a rate of 4 fl oz per minute. Kelley has a bucket that originally contained 540 fl oz of water and is being drained at a rate of 7 fl oz per minute. What is x, the number of minutes that need to pass for the two buckets to contain the same amount of water?
    300s
    8.8.B: Expressions, Equations and Relationships

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