grade 7 proportions worksheets

➗ Topic Summary

Proportions are all about comparing two ratios. A ratio shows the relationship between two quantities. A proportion states that two ratios are equal. For example, if you're baking a cake and the recipe calls for 2 cups of flour for every 1 cup of sugar, the ratio of flour to sugar is 2:1. If you want to make a bigger cake, you need to keep that ratio the same – that's where proportions come in!

We can write proportions using fractions. So, 2/1 could be proportional to 4/2, because if you double the flour, you need to double the sugar to keep the cake tasting the same. Solving proportions often involves finding a missing value. You'll see 'x' in these problems, which is just a placeholder for the number you need to find to make the ratios equal.

📖 Part A: Vocabulary

Match the term to its definition:

1. Ratio
2. Proportion
3. Equivalent Ratios
4. Cross Product
5. Constant of Proportionality

1. The value that relates two quantities in a proportional relationship.
2. The result of multiplying the numerator of one fraction by the denominator of another.
3. A comparison of two quantities.
4. A statement that two ratios are equal.
5. Ratios that have the same value.

✍️ Part B: Fill in the Blanks

A ______ is a comparison of two quantities. A ______ is an equation stating that two ratios are ______. In a proportion, the ______ are equal. If $\frac{a}{b} = \frac{c}{d}$, then $ad = $______.

🤔 Part C: Critical Thinking

Explain, in your own words, how proportions can be used in real-life situations. Give at least two different examples.