Proportional Tables and Equations Challenge

This video tutorial explores proportional relationships, focusing on how numbers relate through ratios and proportions. It covers the use of tables and equations to represent these relationships, explains the concepts of slope and unit rate, and demonstrates how to analyze ordered pairs. The video includes practice problems to reinforce understanding and prepares viewers for graphing these relationships in future lessons.

What does it mean when numbers are in a proportional relationship?

• They reduce down to the same ratio.

• They add up to the same total.

• They are always different.

• They are always equal.

In a table representing a proportional relationship, where do the x-values go?

• On the left-hand side.

• In the denominator.

• In the numerator.

• On the right-hand side.

What equation represents the relationship if 5 times 2 is 10 and 3 times 2 is 6?

• y = 2x

• y = 5x

• y = 3x

• y = 10x

What are the three synonyms for the multiplier in a proportional relationship?

• Numerator, denominator, fraction

• Rate of change, slope, unit rate

• Sum, difference, product

• X-value, y-value, ratio

How do you determine the unit rate from the ordered pairs (4, 2) and (6, 3)?

• Multiply the x and y values together.

• Add the x and y values together.

• Divide y by x for each pair and simplify.

• Subtract the x values from the y values.

What is the simplified form of the fraction 2/4?

• 4/2

• 2/1

• 1/2

• 1/4

What is the equation if the unit rate is 1/2?

• y = 2x

• y = x

• y = 1/2x

• y = x/2

What is the unit rate if the ordered pairs are (4, 8) and (7, 14)?

• 4

• 2

• 1

• 8

What is the equation if the slope is 3?

• y = x+3

• y = 1/3x

• y = x/3

• y = 3x

What is the simplified form of the fraction 30/6?

• 1/5

• 5/1

• 6/30

• 1/6