Topic 3 Review

Presentation

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Mathematics

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7th Grade

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Practice Problem

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Medium

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CCSS

7.RP.A.2A, 7.RP.A.2B, 6.RP.A.3A

Standards-aligned

Renee Randall

Used 19+ times

FREE Resource

15 Slides • 9 Questions

Topic 3 Review

Test Review

Vocabulary

Answer the best you can to each slide

Multiple Choice

For two quantities x and y, if y is always a constant multiplie of x they have a(n)

`unit rate

proportional relationship

ratio

Multiple Choice

The value of the ratio

\frac{y}{x}

of two proportional quantities x and y is called the

unit rate

constant of proportionality

proportion.

Multiple Choice

An equation that shows that two ratios are equal is a(n)

proportion

unit rate

ratio

Ratios, Rates and Unit Rates

Ratio- is a relationship in which every x units of one quantity ther are y units of another quanitiy.
A rate is a ratio that relates two quantities with different units.
A unit rate relates a quanitity

3-1 and 3-2 Ratios, Rates and Unit Rates

In 3 days, a typical robin can eat up to 42.6 feet of earthworms. Write a rate to relate the number of feet of earthworm to the number of days. Then find the unit rate.

$\frac{42.6\ feet}{3\ days}$ $\div\frac{3}{3}$ = $\frac{14.2\ feet}{1\ day}$

Multiple Select

How would you set #1 up?

$\frac{ounces}{money}$

$\frac{money}{ounces}$

Adam: $\frac{\text{}8.75}{3.5}$
Marco $\frac{9.75}{3.75}$

3-3 Understand Proportional Relationships: Equivalent Ratios

Two quantities x and y have a proportional relationship if the ratios y/x for every related pair of x and y are equivalent.

Does the table at the left show a proportional relationship between x and y?

Yes, because all the unit rates are 3 to 1.

3-4 Constant of Proportionality

y = kx describes a proortional relationship between two quantities x and y.
$\frac{y}{x}=k$
k is the constant of proportionality

The table shows the wages Roger earned for the hours he worked . What equation relates the wates, w, and the number of hours, h.

Poll

What is the constant of proportionality in this problem.

$\frac{1}{9}$

The table shows the wages Roger earned for the hours he worked . What equation relates the wates, w, and the number of hours, h.

$\frac{y}{x}$ = $\frac{wages}{time}$

Multiple Choice

Sally is going on vacation with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write an equation that represents how far they will travel, d, in h hours.

1st- how would you set this up

$\frac{2\ hours}{90.5\ miles}$

$\frac{90.5\ miles}{2\ hours}$

Multiple Choice

Sally is going on vaction with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write and equation that represents how far they will travel, d, in h hours.

miles = 45.25 x hours

hours = 45.25 x miles

3-5 Graph Proporttional Relationships

In order for a graph to be proportional

The line must be straight
The line must go through the origin.

Multiple Choice

Is the number of sunny days proportional to the number of rainy days?

yes

3-6 Apply Proportional Reasoning to Solve Problems

When in doubt find the unit rate to help you
Use proportions to help find the answer

Multiple Select

Decide which problems can be solved using proportional reasoning.

Yani buys 4 dozen flyers for $7.25. What is the cost of 12 dozen?

First class letters ost $0.49 for the first ounce and $0.22 for each additional ounce. what is the cost of a 5-oz letter?

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