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Proportions

NS 1.3. A proportion is an equation that shows two equivalent ratios. Proportions. 1. x = 6. Find the missing value in the proportion. Sometimes the problem is easy to solve by using multiplication or division. 6. x 2. x 2. 2. x = 6. NS 1.3

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Proportions

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  1. NS 1.3 A proportion is an equation that shows two equivalent ratios. Proportions

  2. 1. x = 6 Find the missing value in the proportion. Sometimes the problem is easy to solve by using multiplication or division. 6 x 2 x 2

  3. 2. x = 6 NS 1.3 use cross products (cross x) to create an equation that you can solve. 4•x = 3•8 simplify 4x How do you solve the equation? = 24 ÷4

  4. 3. x = 6 Use cross products to solve the problem. simplify 6•x = 4•9 6x = 36 solve the equation ÷6

  5. 4. x = 4 Use cross products to solve the problem. 10•x = 5•8 simplify 10x = 40 solve the equation ÷10

  6. 5. 6.

  7. 7. 8. Find the missing value in each proportion.

  8. Solving PROPORTIONS (when you have similar figures)

  9. 4 in 2 in __ in 6 in tops 4 2 1.) Match up the similar sides. left sides 6 x 2.) Make into fractions and an equation. (a proportion) 3.) Solve.

  10. 12 cm 4 cm x 3 cm

  11. x 28 cm 8 cm 32 cm

  12. 6 ft 24 ft 2 ft x

  13. 10 in __ in 2 in 6 in

  14. x 7 mm 2 mm 7 mm

  15. 3 in x 6 in 8 in

  16. x 5 ft 8 ft 24 ft

  17. 20 cm 4 cm 8 cm 10 cm 16 cm x

  18. 18 cm x 9 cm 8 cm 6 cm 12 cm

  19. 1 m 5 m 10 m __ m

  20. PROPROTIONS with Maps Have you ever been on a trip and wondered how much farther it was to your destination? You can use a proportion to find the distance between cities when using a map.

  21. A map has a scale of 1 in : 4 mi. If Merced and Atwater are 2 inches apart on the map then how far apart are the cities?

  22. x 6’ 25’ 5’ Correct Proportions Incorrect Proportions

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