Proportions with Variables Worksheet

A proportions with variables worksheet is a helpful resource for students who want to strengthen their understanding of mathematical concepts surrounding proportions and variables. This worksheet provides practice problems that focus on solving equations and finding unknown values in various proportion scenarios.

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  Finding Patterns in Math

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  Finding Patterns in Math

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  Finding Patterns in Math

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  Finding Patterns in Math

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  Finding Patterns in Math

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  Finding Patterns in Math

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  Finding Patterns in Math

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  Finding Patterns in Math

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If a:b = 2:3, what is the value of a when b = 6?

If a:b = 2:3, and b = 6, then a = (2/3)*b = (2/3)*6 = 4. Therefore, the value of a when b = 6 is 4.

If x:y = 5:7, what is the value of y when x = 15?

If x:y = 5:7, when x = 15, we can set up the proportion 5/7 = 15/y and then solve for y. Cross multiplying gives 5y = 105 which simplifies to y = 21. Therefore, when x = 15, the value of y is 21.

If m:n = 4:9, what is the value of m when n = 18?

If m:n = 4:9, we can determine the value of m when n = 18 by setting up a proportion. Since 4:9 is the same as m:18, we can cross multiply to find m. This gives us m = (4/9) * 18 = 8. Therefore, when n = 18, m is equal to 8.

If p:q = 3:5, what is the value of q when p = 12?

If p:q = 3:5 and p = 12, we can set up the proportion 3/5 = 12/q. Cross multiplying, we get 3q = 60. Dividing by 3 gives q = 20. Therefore, when p = 12, q = 20.

If r:s = 2:7, what is the value of r when s = 28?

If r:s = 2:7, we can set up the proportion 2/7 = r/28 where r is the value we are trying to find when s is 28. Cross multiplying gives 7r = 2 * 28, which simplifies to 7r = 56. Dividing both sides by 7 yields r = 8. Therefore, when s = 28, the value of r is 8.

If n:m = 1:6, what is the value of n when m = 36?

If n:m = 1:6, then n is 1 and m is 6 times that. Therefore, when m = 36, n would be 1*(6) = 6.

If x:y = 9:11, what is the value of y when x = 27?

When x = 27, you can find the value of y by setting up a proportion based on the ratio x:y = 9:11. By solving the proportion, y would be calculated as (27*11)/9 = 33. So, when x = 27, y would be equal to 33.

If a:b = 5:8, what is the value of a when b = 16?

To find the value of a when b = 16 in the ratio a:b = 5:8, we can set up a proportion. Cross multiply the ratio and solve for a: 5/8 = a/16. Thus, a = 10.

If p:q = 7:10, what is the value of q when p = 21?

If p:q = 7:10, this means that p is 7 parts and q is 10 parts. When p = 21, we can write: 7/10 = 21/q. Cross multiplying gives us 7q = 210. Dividing both sides by 7, we find that q = 30. So, when p = 21, q = 30.

If r:s = 1:3, what is the value of r when s = 12?

If r:s = 1:3, and s = 12, then the value of r can be calculated by multiplying 1/3 by the value of s. So, r = 1/3 * 12 = 4. Hence, when s = 12, the value of r is 4.