Solving Proportions.

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Presentation transcript:

Solving Proportions

Unit 5 – Solving Proportions

Vocabulary Variable – a symbol, usually a letter, that represents an unknown value. Coefficient – The number in front of the variable. They are being multiplied together. example: 2x

Cursive Letter Chart

Solving Proportions Using Equivalent Fractions Example Solve the proportion. 𝑥 7 = 20 28 With a proportion like this you may be able to use your equivalent fraction knowledge to solve for the answer. When you that is possible, it is an option. Just be sure to read the direction carefully. ÷4 x = 5 ÷4

Solving Proportions Using Equivalent Fractions Practice Solve each proportion 3. 𝟕 𝟑 = 𝒙 𝟏𝟐 x = 28 4. 𝟒 𝒙 = 𝟐𝟎 𝟏𝟓 x = 3 1. 𝒙 𝟐 = 𝟐𝟕 𝟏𝟖 x = 3 2. 𝟐 𝟓 = 𝟏𝟔 𝒙 x = 40

Multiplying with Algebraic Terms 5 • x 5x 2. 12 • x 12x 3. 19 • x 19x 4. 25 • x 25x 5. 2.5 • x 2.5x 6. 1 4 • x 1 4 x 7. 6.7 • x 6.7x 8. 2 3 4 • x 2 3 4 x 9. 100 • x 100x

Solving Proportions Using Cross Multiplication Example Solve the proportion. 𝟏𝟐 𝒙 = 𝟗 𝟔 9x = 72 9 9 x = 8

Solving Proportions Using Cross Multiplication Guided Practice Solve each proportion 1. 𝑥 15 = 8 10 3. 𝑥 10 = 25 8 x = 12 x = 31.25 2. 5 14 = 4 𝑥 4. 19 57 = 𝑥 9 x = 11.2 x = 3