Algebra 1 Review Flashcardizz

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that a function can produce. For example, if the range is 1 ≤ y ≤ 5, it means y can take any value from 1 to 5, inclusive.

Front

Solve for x: 5(x - 3) + 2x = 27

Back

x = 6

Front

How do you find the slope of a line?

Back

The slope of a line is calculated as the change in y divided by the change in x (rise/run). For example, if a line goes up 4 units and over 3 units, the slope is 4/3.

Front

What does f(x) = 16 mean in terms of x?

Back

It means you need to find the values of x for which the function f outputs 16. For example, if f(x) = x^2, then f(4) = 16 and f(-4) = 16.

Front

Evaluate the function f(x) = 3x + 12 for x = 6.

Back

f(6) = 30.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases. This means the slope of the function is positive.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input of a function (usually x), while the dependent variable is the output (usually y) that depends on the value of the independent variable.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.