Mathematics Quiz: Word Problems & Probability

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Questions and Answers

What is the probability that the arrow on the spinner will land on a section labeled 'a'?

  • 2/3
  • 1/3
  • 1/2
  • 1/6 (correct)

Which number is equivalent to the fraction $\frac{36}{20}$?

  • $\frac{7}{3}$
  • $\frac{9}{4}$
  • $\frac{21}{5}$
  • $\frac{9}{5}$ (correct)

What is the equivalent expression for the sum of Expression 2 and Expression 3, $5(3x-1) + \frac{1}{3}(4x-2)$?

  • 13x-6
  • 13x-4
  • 7x-4 (correct)
  • 7x-6

What is the probability that the arrow will stop on any section other than 'b'?

<p>2/3 (C)</p> Signup and view all the answers

What is the median number when considering the fractions $\frac{36}{20}$, $\frac{5}{3}$, and $\frac{9}{5}$?

<p>$\frac{9}{5}$ (B)</p> Signup and view all the answers

What are the coordinates of vertex A' after triangle ABC is translated 8 units up?

<p>(2, 6) (B)</p> Signup and view all the answers

What is the mean number of birds that the bird watcher saw in one day based on the data provided?

<p>39 (C)</p> Signup and view all the answers

If Gavin spent 10 hours mowing the grass, what fraction of his total outdoor chores does that represent?

<p>1/5 (D)</p> Signup and view all the answers

Which graphical representation would be most appropriate for showing Gavin’s chore distribution over the month?

<p>Pie chart (B)</p> Signup and view all the answers

Based on the beanbag toss, what is the probability of landing on a blue square?

<p>8/20 (D)</p> Signup and view all the answers

What is the combined probability of landing on either an orange or green square?

<p>12/20 (C)</p> Signup and view all the answers

What is the probability that a student chosen at random made 2 or more phone calls based on the line plot data?

<p>3/5 (A)</p> Signup and view all the answers

If a fair coin is tossed 30 times, what is the expected probability of getting heads?

<p>1/2 (D)</p> Signup and view all the answers

How many cups of flour should Manuel use if the recipe is scaled down for 4 people?

<p>2 cups (D)</p> Signup and view all the answers

What is the price of each theater ticket if the total cost is $190 including a service charge?

<p>$23.00 (C)</p> Signup and view all the answers

What is the total cost for 3 packets of seeds including shipping?

<p>$13.50 (D)</p> Signup and view all the answers

Which situation correctly represents the inequality $x geq 12$?

<p>The sign indicates the area is for children younger than 12 years. (A)</p> Signup and view all the answers

What is the result after the first step of simplifying the expression $9(4+2)^2+1-6$?

<p>$9(6)^2 + 1 - 6$ (D)</p> Signup and view all the answers

What would be the total cost if Simone orders 4 packets of seeds including the shipping fee?

<p>$13.00 (A)</p> Signup and view all the answers

Which of the following inequalities corresponds to a situation where a player must score above 9 points?

<p>$y &gt; 9$ (B)</p> Signup and view all the answers

What is the equivalent inequality for $x + 5 < 15$?

<p>$x &lt; 10$ (D)</p> Signup and view all the answers

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Study Notes

Solving Word Problems

  • Manuel needs to use 2 cups of flour to make the recipe for 4 people.
  • Carla paid $23.75 for each theatre ticket.

Understanding Inequalities

  • At least 12 laps is modeled with the inequality x ≥ 12.

Simplifying Expressions

  • The simplified expression after the first step is 9(6)^2 + 1 - 6

Identifying Coordinates

  • The coordinates for triangle A'B'C' are (2, 6) (-6, 14) (-6, -2)

Probability and Data Analysis

  • The probability of selecting a green square is 7/20.
  • The probability of selecting an orange or green square is 12/20 or 3/5.
  • The probability that the outcome is not orange is 15/20 or 3/4.
  • The probability of a student making 2 or 3 phone calls is 2/5.
  • When tossing a fair coin 30 times, it is expected to land on tails 15 times.

Understanding Spinners

  • The probability of landing on a section labeled A is 1/6.
  • The probability of landing on a section labeled B is 1/3.
  • The probability of landing on a section labeled C is 2/3.

Equivalency of Expressions

  • 9/5 is equivalent to Expression 1, which is 36/20.
  • The expression equivalent to the sum of Expression 2 and 3 is 13x-4.

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