Definitions
Proportions
Direct Variation
Word Problems
Potpourri
100
A comparison of two numbers that can be written as a fraction, with a colon, or the word "to".
What is a ratio?
100

Solve for the unknown variable x/16 = 12/48

What is x = 4?

100

Does the equation show a direct variation? If not, explain why? y = (1/4)x

What is yes.

100

Beyonce has visited 6 cities in 9 days on her US Tour. At this rate, how many cities will she visit in 27 days?

What is 18 cities?

100
solve:


2x+(-5)=11

What is x = 8?

200
A comparison of two ratios denoted with an equal sign.
What is a proportion?
200

Solve for the unknown variable 10/25 = 1/x

What is x = 2.5?

200

Does this equation show a direct variation? If not, explain why? y = 3.5x - 3

What is no because you are subtracting 3.

200

A can of spray costs $3.99 for 5 ounces. Another brand costs $5.99 for 7 ounces. Which can is the better buy?

What is $5.99 for 7 ounces?

200

Is y=(x/4) a direct variation equation

yes

300
A ratio with a specific denominator of 1.
What is a unit rate?
300

Solve for the unknown variable 16/33 = 64/x

What is x = 132?

300

Does the equation show a direct variation? If not, please explain why. .2y = .6x

What is yes

300

A six-pack of Coke costs $2.09. At this rate, how much should 32 cans cost?

What is $11.15?

300

Graph the points (2,-5) and (4,3) what is the slope?

 slope=4
400
What are the two qualities that satisfy a direct variation?
1. Must be linear/proportional 2. Must pass through the origin (0,0)
400

Tell whether the ratios form a proportion. 14/22 = 16/25

What is no

400

Does the equation show a direct variation? If not please explain why. y = 1/x

What is no because you can't divide by x.

400

The Lakers have won 27 games and lost 17 games. At this rate, how many games should they win, in an 82 game season?

What is 50?

400

Graph this table:

x  1    3    5    7

y  3   7   11   15

Is it a proportional relationship? (If not explain.)

no, because the graph does't go through (0,0)

500

What is K in y=kx?

 slope/unit rate/constant of proportionality

500

Tell whether the ratios form a proportion. 13/25 = 104/200

What is yes

500

Does the equation show a direct variation? If not, please explain why. 

2y = x/6. and if yes, solve for k.

What is yes.

k=1/12

500

Kareem Abdul-Jabbar holds the NBA record for the most points scored in a career, 38,387. In the first 280 games of his career, LeBron James has scored 7446 points. At this rate, how many more games will LeBron James need to play to break Abdul-Jabbar’s career record?

What is 1,443 games?

500

Find the slope from the points (15,9), (-5,-3)

3/5

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