What is a proportional relationship?
8th grade Math STAAR Practice Category 1 & 2

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if y is proportional to x, then y = kx for some constant k.
2.
FLASHCARD QUESTION
Front
Which equation shows a non-proportional relationship?
Back
y = 7x - 9 is a non-proportional relationship because it includes a constant term (-9) that shifts the line up or down.
3.
FLASHCARD QUESTION
Front
How do you solve for x in the equation 0.17x − 0.03 = 0.03x − 0.002?
Back
To solve for x, first combine like terms: 0.17x - 0.03x = 0.03 - 0.002. This simplifies to 0.14x = 0.028, leading to x = 0.2.
4.
FLASHCARD QUESTION
Front
What is the equation for the total cost of gas if there is a monthly fee and a variable cost?
Back
The equation is y = 0.6924x + 16, where y is the total cost in dollars and x is the amount of gas used in hundreds of cubic feet.
5.
FLASHCARD QUESTION
Front
What is a function in mathematics?
Back
A function is a relation that assigns exactly one output for each input. For example, in the function y = 2x, for every value of x, there is one corresponding value of y.
6.
FLASHCARD QUESTION
Front
How can you identify if a table represents y as a function of x?
Back
A table represents y as a function of x if each input (x-value) corresponds to exactly one output (y-value). If any x-value is repeated with different y-values, it is not a function.
7.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a linear equation?
Back
The slope of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.
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