1. Solving Proportions

2. Unit 5 – Solving Proportions

3. 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

4. Cursive Letter Chart

5. 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

6. 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

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

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

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