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Lesson 4: Represent and Graph Ratios — Practice Questions

  1. 1. To find a ratio equivalent to $3:8$, you can multiply both quantities by 5. What is the resulting equivalent ratio? ___

  2. 2. Which of the following ratios is equivalent to the ratio $6:4$?

    • A. 8:6
    • B. 12:4
    • C. 18:12
    • D. 6:8
  3. 3. Using the method of repeated addition, a sequence of equivalent ratios starting with $5:7$ would be $5:7, 10:14, \ldots$. What is the next ratio in this sequence? ___

  4. 4. Which method correctly describes how to generate an equivalent ratio for $a:b$, where $c$ is any non-zero number?

    • A. Add $c$ to both $a$ and $b$.
    • B. Multiply $a$ by $c$ and add $c$ to $b$.
    • C. Multiply both $a$ and $b$ by $c$.
    • D. Subtract $c$ from $a$ and $b$.
  5. 5. The ratio $20:25$ is equivalent to a simpler ratio. By dividing both quantities by 5, what is the simplified equivalent ratio? ___

  6. 6. The ratio of red marbles to blue marbles is $5:4$. This relationship is represented by ordered pairs $(r, b)$, where $r$ is red and $b$ is blue. If there are 15 red marbles, the ordered pair is $(15, \_\_\_)$.

  7. 7. A cleaning solution is made by mixing 3 parts vinegar with 4 parts water. If $(v, w)$ represents an ordered pair of vinegar to water, which pair does NOT belong to this set of equivalent ratios?

    • A. (3, 4)
    • B. (6, 8)
    • C. (9, 12)
    • D. (12, 15)
  8. 8. A school policy requires a ratio of 4 students for every 1 adult chaperone on a field trip. If an ordered pair is written as $(c, s)$, where $c$ is chaperones and $s$ is students, the first pair in a ratio table would be $(1, \_\_\_)$.

  9. 9. The ratio of cats to dogs at a shelter is $2:5$. If an ordered pair is written in the form $(d, c)$, where $d$ is the number of dogs and $c$ is the number of cats, which of the following ordered pairs is correct?

    • A. (2, 5)
    • B. (4, 10)
    • C. (10, 4)
    • D. (6, 15)
  10. 10. To make a specific shade of orange paint, the ratio of yellow paint to red paint is $5:3$. If a painter uses 25 liters of yellow paint, the ordered pair $(yellow, red)$ for this mixture is $(25, \_\_\_)$.