Algebra 1 2-7 Guided Practice: Solving Proportions
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by Matthew Richardson
| 17 Questions
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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
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10
Explain your answer.
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Take Note: Define ratio.
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Take Note: Provide an example of a simplified ratio.
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10
Take Note: Define proportion.
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5
Take Note: Provide an example of a proportion.
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Problem 1 Got It? What is the solution of the proportion?

6.5
8.75
7.14
5.6
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12
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Take Note: Define cross products.
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Take Note: Fill in the blank:

The cross products of a __________ are equal.
fraction
ratio
proportion
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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
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Take Note: Identify the extremes of the proportion. Select all that apply.


g
y
f
x
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Take Note: Identify the means of the proportion. Select all that apply.


g
y
f
x
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Problem 2 Got It? What is the solution of the proportion?

3/15
5/9
5
9/5
14
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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
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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
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