Algebra Skills Quiz
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Questions and Answers

What is the inequality to represent the number of classes, c, that Natalie can take and stay within her budget?

  • $9c - 10.65 \\leq 146$
  • $9c \\geq 146 - 10.65$
  • $9c \\leq 146 - 10.65$
  • $9c + 10.65 \\leq 146$ (correct)
  • How many days, d, must the family travel to reach a distance of at least 1,400 miles, if they drive 350 miles per day?

  • $350d = 1400$
  • $350d \\geq 1400$
  • $350d \\leq 1400$
  • $350d \\geq 1400$
  • What is the inequality to represent the number of cans, c, that Xander must still collect to reach at least 120 cans, if he has already collected 64 items?

  • $c \\leq 120 - 64$
  • $c - 64 \\geq 120$
  • $c \\geq 120 - 64$
  • $c + 64 \\geq 120$ (correct)
  • What is the equation to find x, the number of boxed lunches Janie ordered, if each lunch costs $4.25 and the total cost is $53.75 including a $7 delivery fee?

    <p>$4.25x + 7 = 53.75$</p> Signup and view all the answers

    On a number line, the solution to the inequality $9c + 10.65 \leq 146$ would have a circle at:

    <p>$146$</p> Signup and view all the answers

    Study Notes

    Inequalities and Equations

    • Natalie's class budget can be represented by an inequality, where c is the number of classes she can take.
    • The family's travel distance can be calculated by dividing the total distance (at least 1,400 miles) by the daily distance (350 miles per day), resulting in d days.
    • Xander needs to collect at least 120 cans, and already has 64, so the inequality for the number of cans, c, he needs to collect is c ≥ 56.
    • Janie ordered x boxed lunches at $4.25 each, with a $7 delivery fee, resulting in a total cost of $53.75, which can be represented by the equation 4.25x + 7 = 53.75.
    • The inequality 9c + 10.65 ≤ 146 has a solution with a circle at the closed end on a number line.

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    Description

    Test your algebra skills with this assessment form A quiz. Solve equations to find hourly earnings, and write inequalities to represent budgeting and spending on yoga classes. Sharpen your math skills and practice problem-solving with real-life scenarios.

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