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Use proportion relationships unit test lesson 11

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Sure! Here’s a general outline you can utilize for a unit test focused on proportion relationships, which is typically covered in a lesson about ratios and proportions. This could include questions aimed at understanding the concept of proportions, solving for unknowns, and applying proportions in real-world situations.

Proportion Relationships Unit Test

Name: ___________ Date: ___________

Instructions: Answer all questions to the best of your ability. Show your work where necessary.

Part 1: Multiple Choice

  1. What is the ratio of 3 to 5 written in fractional form? A) \( \frac{3}{5} \)
    B) \( \frac{5}{3} \)
    C) \( \frac{8}{5} \)
    D) \( 3:5 \)

  2. If 4 apples cost $2, how much do 10 apples cost? A) $4
    B) $5
    C) $6
    D) $8

  3. Which of the following ratios is equivalent to 6:8? A) 3:4
    B) 4:6
    C) 2:5
    D) 1:2

Part 2: Fill in the Blank

  1. Fill in the blanks to make the proportions true:

    \( \frac{20}{x} = \frac{5}{15} \)

    \( x = ____ \)

  2. If \( a:b = 3:4 \), then the value of \( \frac{a}{b} \) is ____.

Part 3: Short Answer

  1. Solve the following proportion for x: \[ \frac{7}{x} = \frac{14}{28} \]

  2. The recipe for a cake calls for 2 cups of flour for every 3 cups of sugar. If you have 6 cups of flour, how many cups of sugar do you need?

Part 4: Word Problems

  1. A car travels 180 miles in 3 hours. If it continues at the same speed, how far will it travel in 5 hours?

  2. A map has a scale of 1 inch to 50 miles. If two cities are 4 inches apart on the map, what is the actual distance between the two cities?

Part 5: Challenge Problem

  1. Prove that the triangles with sides in the ratio 3:4:5 are similar to triangles with sides in the ratio 6:8:10. What does this imply about the triangles? Explain your reasoning.

Answers

(Note: These would be the correct answers to each question, typically provided for the teacher.)

  1. A) \( \frac{3}{5} \)
  2. B) $5
  3. A) 3:4
  4. \( x = 10 \)
  5. \( \frac{a}{b} = \frac{3}{4} \)
  6. \( x = 10 \)
  7. 9 cups of sugar
  8. 300 miles
  9. 200 miles
  10. The triangles are similar; they have equivalent ratios of corresponding sides, indicating they are scale models of each other.

You can adjust or expand on the questions based on the specific curriculum and grade level. Hope this helps!