Understanding Multiplication and Proportions

This video covers test prep for 7th grade math state testing, focusing on unit one. It includes solving problems related to the constant of proportionality, determining positive products using the triangle trick, solving equations with inverse operations, and finding ratios in a paint mixing problem.

What is the constant of proportionality in the equation y = 1/3x?

• 1/3

• 3

• 1

• 0

Which point verifies the equation y = 1/3x?

• (0, 3)

• (1, 3)

• (1.5, 0.5)

• (3, 1)

How can you determine if a table of values matches the equation y = 1/3x?

• Check if y values are one-third of x values

• Check if x values are one-third of y values

• Check if x values are three times y values

• Check if y values are three times x values

What is the result of multiplying a negative number by another negative number?

• Negative

• Undefined

• Zero

• Positive

Using the triangle trick, what is the sign of the product of a positive and a negative number?

• Undefined

• Zero

• Negative

• Positive

What is the value of x in the equation 0.5x - 4 = 1.5?

• 1

• -1

• -11

• 11

In the equation 0.5(x - 4) = 1.5, what is the value of x?

• -11

• 11

• -1

• 1

Which statement is true about the values of x in the two equations?

• Both are negative

• One is positive, one is negative

• Both are positive

• Both are zero

What is the ratio of blue to yellow paint in the equation b = (3/4)y?

• 2:1

• 3:4

• 4:3

• 1:2

How do you simplify the fraction 6/8?

• 3/4

• 4/3

• 2/3

• 1/2