# Lesson Worksheet: Proportions Mathematics • 7th Grade

In this worksheet, we will practice using properties of proportions to find an unknown value in a proportional relationship and prove algebraic statements.

**Q7: **

Which of the following shows a proportional relationship?

- A
- B
- C
- D
- E

**Q9: **

If , find the value of .

**Q10: **

David ran 7 km in 45 minutes. How long would it take him to run 14 km at the same speed?

**Q11: **

It took BenjaminΒ 30 minutes to bike 7 miles. At this rate, use a ratio table to find how long it would take him to bike for 21 miles.

**Q12: **

A person walks 10 kilometers in 40 minutes walking at a constant speed. If they continue walking at this speed, how long will it take them to walk 6 kilometers?

**Q14: **

If , then .

- A
- B
- C
- D

**Q15: **

Given that , find the value of .

**Q16: **

Given that , find the value of .

**Q17: **

Fill in the blanks in the figure such that the corresponding numbers in the two rows are proportional.

- A248, 34, 288, 40
- B39, 280, 44, 328
- C248, 2,176, 288, 2,560
- D39, 264, 44, 312

**Q18: **

Complete the missing values in the figure below so that the corresponding numbers in the two columns are proportional.

- A0.9, 0.99, 3.4, 0.9
- B0.09, 0.99, 0.34, 0.09
- C0.09, 0.99, 3.4, 0.09
- D0.9, 9.9, 0.34, 0.9

**Q19: **

Fill in the blanks in the figure below to make the corresponding numbers in the two rows proportional.

- A12, 32, , 51
- B48, 32, 82, 51
- C48, 8, 82,
- D12, 8, ,

**Q20: **

Fill in the blanks in the figure below to make the corresponding numbers in the two columns proportional.

- A1.5, 4.2, 4.4, 1.5
- B1.5, 0.42, 0.44, 1.5
- C0.667, 4.2, 4.4, 0.667
- D0.667, 0.42, 0.44, 0.667
- E4.2, 1.5, 1.5, 4.4

**Q22: **

Complete the missing values from left to right in the figure below so that the corresponding numbers in the two rows are proportional.

- A
- B
- C
- D

**Q23: **

Given that , calculate the value of .

**Q25: **

If , determine .

- A
- B
- C
- D