Solve the equation.

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Solve the equation. - PowerPoint PPT Presentation

1. x = 25. 5. 6. 2 . (6 x + 3) = 14. 2 . 3 . Solve the equation. g. 3. – 7 = 12. 5. Solve the equation. 4. You buy three identical polyester film balloons and a birthday card. The card costs \$3.95 . Find the cost of each balloon if your total bill before tax was \$33.80.

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1.x = 25

5

6

2. (6x + 3) = 14

2

3

Solve the equation.

g

3. – 7 = 12

5

Solve the equation.

4. You buy three identical polyester film balloons and a

birthday card. The card costs \$3.95. Find the cost of each balloon if your total bill before tax was \$33.80.

EXAMPLE 1

Write a ratio

VOLLEYBALL

A volleyball team plays 14 home matches and 10 away

matches.

a.Find the ratio of home matches to away matches.

b.Find the ratio of home matches to all matches.

EXAMPLE 1

for Example 1

GUIDED PRACTICE

Derek and his brother decide to combine their CD collections. Derek has 44 CDs, and his brother has 52 CDs. Find the specified ratio.

1.The number of Derek’s CDs to the number of his brother’s CDs.

2.The number of Derek’s CDs to the number of CDs in the entire collection.

330

.

x

11

x

x

Solve the proportion

=

=

30

30

30

6

6

x

=

11

11

6

6

30

30

=

EXAMPLE 2

Solve a proportion

Write original proportion.

Multiply each side by 30.

Simplify.

55= x

Divide.

=

4

w

7

35

3.

EXAMPLE 2

for Example 2

GUIDED PRACTICE

Solve the proportion. Check your solution.

=

m

9

12

2

4.

EXAMPLE 2

for Example 2

GUIDED PRACTICE

Solve the proportion. Check your solution.

=

5

z

9

54

5.

EXAMPLE 2

for Example 2

GUIDED PRACTICE

Solve the proportion. Check your solution.

GUIDED PRACTICE

for Example 3

ASTRONOMY

When two full moons appear in the same month. The second full moon is called a blue moon. On average, 2 blue moons occur every 5 years. Find the number of blue moons that are likely to occur in the next 25 years.

7

1.=

16

t

32

2. =

18

b

24

12

Solve the proportion.

14

9

21

28

3.=

n

32

4

11

4. =

p

12

Solve the proportion.

24

33

Solve the proportion.

5. It takes 30 tomatillos to make 8 ounces of enchilada

sauce. How many tomatillos does it take to make 12

45 tomatillos

Solve the proportion = .

8

6

8

6

15

x

x

15

=

8 15 = x 6

The solution is 20. Check by substituting 20 forxin the original proportion.

EXAMPLE 1

Use the cross products property

Write original proportion.

Cross products property

120 = 6x

Simplify.

20=x

Divide each side by 6.

8

6

=

20

15

?

?

8 15=20 6

120 = 120

EXAMPLE 1

Use the cross products property

CHECK

Substitute 20 for x.

Cross products property

Simplify. Solution checks.

8

What is the value of x in the proportion =?

x –

3

3

– 6

– 3

6

B

4

A

x

D

C

EXAMPLE 2

Standardized Test Practice

3

2

=

x

x

– 6

EXAMPLE 2

GUIDED PRACTICE

for Examples 1, 2, and 3

Solve the proportion. Check your solution.

m – 6

=

4

m

5

EXAMPLE 2

GUIDED PRACTICE

for Examples 1, 2, and 3

Solve the proportion. Check your solution.

Seals

Each day, the seals at an aquarium are each fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 280 pounds.

How much food should the seal be fed per day?

EXAMPLE 3

Write and solve a proportion

Use the scale on a map

EXAMPLE 4

for Example 4

GUIDED PRACTICE

Model ships

The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Estimate the actual length of the Queen Elizabeth II.