STAAR Algebra 1 Refreshers

Front

What does it mean to 'factor' in algebra?

Back

To factor means to break down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is a solution in algebra?

Back

A solution is a value or set of values that satisfy an equation or inequality.

Front

What does it mean to 'evaluate' an expression?

Back

To evaluate an expression means to calculate its value by substituting variables with numbers.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the domain of a function from its graph?

Back

Look for the x-values that the graph covers; if the graph extends infinitely left and right, the domain is all real numbers.

Front

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

Back

A linear function has a constant rate of change and can be represented by a straight line, while a non-linear function does not have a constant rate of change and can be represented by curves.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if any vertical line intersects the curve more than once, it is not a function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.