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2.6 – Ratios & Proportions

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 ,

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply.

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply. 2 =

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply. 2 =

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply. 2 =

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply. 2 = =

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply. 2 = = 28

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. a) 2 , 8 *Set them equal to each other & cross multiply. 2 = = 28 This is true, so they are equivalent ratios.

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. b) 15 , 35 *Set them equal to each other & cross multiply.

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**Ex. 1 Determine whether each pair of ratios are equivalent ratios**

Ex. 1 Determine whether each pair of ratios are equivalent ratios. b) 15 , 35 *Set them equal to each other & cross multiply. 15 = = 630 This is false, so they are not equivalent ratios.

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x =

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x = 3 *Cross Multiply 10 5

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x = 3 *Cross Multiply 10 5

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x = 3 *Cross Multiply = 5x

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x = 3 *Cross Multiply = 5x

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x = 3 *Cross Multiply = 5x 5 5

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. a) x = 3 *Cross Multiply = 5x = x

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. b) (x + 4) = 3 5 8

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**Ex. 2 Solve each proportion**

Ex. 2 Solve each proportion. If necessary, round to the nearest hundredth. b) (x + 4) = 3 *Cross Multiply = 8(x + 4) 15 = 8x = 8x = x

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The cross products are equal, so the ratios are in proportion.

The cross products are equal, so the ratios are in proportion.

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