Algebra 1 2-7 Guided Practice: Solving Proportions

by Matthew Richardson

| 17 Questions1

2

1

10

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

48 red & 64 blue

12 red & 16 blue

32 red & 48 blue

16 red & 24 blue

2

10

Explain your answer.

3

4

5

6

3

10

Take Note: Define ratio.

4

5

Take Note: Provide an example of a simplified ratio.

5

10

Take Note: Define proportion.

6

5

Take Note: Provide an example of a proportion.

7

10

Problem 1 Got It? What is the solution of the proportion?

6.5

8.75

7.14

5.6

8

9

10

11

12

8

10

Take Note: Define cross products.

9

5

Take Note: Fill in the blank:

The cross products of a __________ are equal.

fraction

ratio

proportion

10

5

Take Note: Fill in the blank:

Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0.

ad=_____

Select all that apply.

bc

cb

b+c

11

5

Take Note: Identify the extremes of the proportion. Select all that apply.

g

y

f

x

12

5

Take Note: Identify the means of the proportion. Select all that apply.

g

y

f

x

13

10

Problem 2 Got It? What is the solution of the proportion?

3/15

5/9

5

9/5

14

10

Problem 2 Got It? Reasoning: Would you rather use the Cross Products Property or the Multiplication Property of Equality (aka multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

15

10

Problem 3 Got It? What is the solution of the proportion?

-5

-1

1

5

16

10

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.

About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

0.99 mg

64.67 mg

145.5 mg

10.63 mg

17

17

10

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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