8th grade Math STAAR Practice Category 1 & 2

Front

What is a proportional relationship?

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.

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.

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.

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.

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.

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.

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.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, then use the slope to find another point. Draw a line through these points.

Front

What is the difference between a linear equation and a non-linear equation?

Back

A linear equation forms a straight line when graphed, while a non-linear equation forms a curve. Linear equations have the form y = mx + b, while non-linear equations can have exponents or other operations.