Math Word Problems and Percentages Quiz

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Questions and Answers

Which equation represents line segment AB on the Cartesian plane?

  • x = 3
  • x = -3
  • y = -3
  • y = 3 (correct)

Which company has the highest charge for each kilometre driven?

  • Company X
  • Company Y
  • Company W
  • Company Z (correct)

How do the surface areas of the three composite objects compare?

  • Object 2 has a greater surface area than Object 1.
  • The surface area of Object 1 is equal to the surface area of Object 3.
  • Object 3 has a greater surface area than both Object 1 and Object 2. (correct)
  • The surface areas of the three objects are the same.

In the 3-D object made of identical cubes, what is the total number of cubes used?

<p>15 (B)</p> Signup and view all the answers

What is the value of 6 - 4 ÷ 2 - 23 × 0.75?

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

What is the value of x in the equation 3(2x - 1) = 2(x + 6)?

<p>$\frac{11}{3}$ (A)</p> Signup and view all the answers

Which expression could represent Polynomial 4 if the sum of all four expressions is 6x?

<p>$9x^2 - 5x - 1$ (A)</p> Signup and view all the answers

Which two students correctly simplified the expression 16. 3x (4x - 6) 2 (3x)?

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

How many terms and what is the degree of the modelled polynomial expression in the diagram?

<p>3 terms, degree 4 (B)</p> Signup and view all the answers

What are the blade length and height of the wind turbine that are proportional to each other?

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

What is the height of the small sail if the scale factor of the enlargement is 2.50?

<p>$3.75$ (C)</p> Signup and view all the answers

What is the total cost of renting a car at Company X if a person drives 20 kilometers?

<p>$100 + (20 \times x)$ (B)</p> Signup and view all the answers

What percentage of the 25 watches tested were defective according to the manager's survey?

<p>12% (B)</p> Signup and view all the answers

What implication did the manager assume by selecting 25 watches out of a batch of 750 to test?

<p>The sample of 25 watches is representative of the entire batch. (C)</p> Signup and view all the answers

Why was it important for the manager to assume that the sample of 25 watches was representative of the population?

<p>To make statistically significant conclusions about the entire batch. (A)</p> Signup and view all the answers

Which assumption underlies the manager's decision to conclude that 12% of the 750 watches were defective?

<p>The sample was representative of the population. (B)</p> Signup and view all the answers

If the manager had tested only 5 out of the 750 watches, what assumption would he have violated?

<p>The sample was too small to be meaningful. (D)</p> Signup and view all the answers

What could be a possible flaw in the manager's conclusion about the defect rate in the 750 watches?

<p>Some defective watches might not have been included in the sample (C)</p> Signup and view all the answers

What is the most reliable sample for the soccer tournament organizer's survey?

<p>All of the players and coaches from one randomly selected team (C)</p> Signup and view all the answers

If Dale earned $180 in one month and $45 by washing cars, how many lawns did he mow at $9 each?

<p>12 lawns (D)</p> Signup and view all the answers

In the inequality q > r, which of the following represents s if s = q + 1?

<p>$s = r + 1$ (A)</p> Signup and view all the answers

For Alice's total daily earnings, which equation is correct given she works 8 hours at $12.50 per hour plus tips?

<p>$E = 8(12.50 + t)$ (B)</p> Signup and view all the answers

Which of the following would provide the least reliable results for the soccer tournament survey?

<p>One player each from half of the teams (B)</p> Signup and view all the answers

If Dale earned $180 in one month and $45 by washing cars, how many lawns did he mow at $8 each?

<p>$12$ lawns (A)</p> Signup and view all the answers

What is the result of the 90° clockwise rotation about vertex L' on triangle JKL?

<p>The triangle is rotated to the right (C)</p> Signup and view all the answers

After the translation and rotation, what are the new coordinates for vertex J?

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

Which transformation affects the y-coordinate of the vertices?

<p>Translation down by 4 units (B)</p> Signup and view all the answers

How do similar triangles ABC and DEF differ in side BC?

<p>BC length is different (C)</p> Signup and view all the answers

In which year does the chart show the highest life expectancy for males?

<p>2010 (C)</p> Signup and view all the answers

What assumption supports predicting increased life expectancy in 2020 for females?

<p>Females in this country live longer than males (D)</p> Signup and view all the answers

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