8th grade Math STAAR Practice Category 1 & 2

Front

What is a linear relationship in mathematics?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be expressed in the form of an equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the initial deposit in a savings account from a linear graph?

Back

The initial deposit is represented by the y-intercept of the graph, which is the value of y when x (the number of months) is zero.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing very large or very small numbers in the form of a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a large number into scientific notation?

Back

To convert a large number into scientific notation, move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the exponent of 10.

Front

What is a fixed monthly fee in a billing equation?

Back

A fixed monthly fee is a constant amount added to the total charges, regardless of usage. In the equation y = mx + b, this is represented by b.

Front

How do you write an equation for a gas company's charges based on usage?

Back

The equation can be written as y = mx + b, where m is the cost per unit of usage, x is the number of units used, and b is the fixed monthly fee.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

How do you determine the total cost from a price per unit?

Back

To determine the total cost, multiply the price per unit by the number of units purchased: Total Cost = Price per Unit × Number of Units.

Front

What is the formula for calculating the total cost of fudge based on pounds ordered?

Back

The formula is y = (price per pound) × x, where y is the total cost and x is the number of pounds ordered.

Front

What is the meaning of the variable x in a mathematical equation?

Back

In a mathematical equation, x typically represents the independent variable or the input value that can be changed or manipulated.