Bell Work 9/25/14

1. 4 6 7 9x x Solve the equation.

2. 3 2 5 7 2 9x x x

Solving Proportions

04/20/23

Heading

TSWBAT: solve a proportion.

Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.

2.5

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Notes

• Proportion= Two ratios (fractions) that are equal to each other.

• Definitions

d

c

b

a “a is to b as c is to d”

If , then .a c

ad bcb d

• Cross-Product Property 3 6

4 8

3 8 6 424 24

• Ratio= Comparison of two quantities.

Notes

1. Find the cross-product.

• Make sure that you distribute properly.

• Steps to Solving a Proportion

• Don’t forget about the equal sign in the middle.

2. Solve for x.

NotesSolve the proportion.

Ex.2

5 10

x

2 10 5x20 5x

4 x5 5

Ex.3 9

6x

3 6 9 x18 9x

2 x9 9

Ex.2 8

3 4

x

2 4x 8 38x 24

3x 8 8

Ex.10

2 4

x

4x 10 24x 20

5x 4 4

Ex.6 12

5 x

6 x 12 56x 60

10x 6 6

Ex.3 3

5 5

x

3 5 3 5x15 15x

1 x15 15

Now you try.

Solve the proportion.Ex.

2 4

5 3x

2 3x 4 5

7x 2 2

6 6 2 14x

2x 6 20

Ex.6 5

4 4

x

6 4 4 5x

1 x 4 4

20 20 4 4x

24 4x 20

Now you try.

Notes

Solve the proportion.Ex.

5 2

7 1x x

5 1x 2 7x

3x

2 2x x 3 5 14x

3 3

5 5 3 9x

5x 5 2x 14

Ex.3 1

5 3

x x

3 3x 5 1x

7 x

3 3x x 9 2 5x

2 2

5 5 14 2x

3x 9 5x 5

Now you try.

Notes

Summary

Write a summary about today’s lesson.

To solve a proportion first find the _____ product. Make sure to distribute correctly. Now that you have a regular equation just solve for the ________.

cross

variable

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

3 9

12x

Solve the Proportion.

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.• NO WORK = NO CREDIT

3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 2.5

4 121.

9x 5

2.4 8

x

2 83.

3 x

Solve the Proportion.

2 84.

5 10

x 1 6

5.2 3x

8 1

6.4 3x

5 17.

4 2

x 20 6

8.6 3x

4 89.

6 3x

4 210.

5 3

x x 3 6

11.3 1x x

5 112.

4 2

x x