Algebra 1 Review

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. Solutions are the points where the equations intersect.

Front

What does it mean if a system of linear equations has 'No Solution'?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

How do you find the value of a polynomial function at a given point?

Back

Substitute the value of the variable into the polynomial and simplify.

Front

What are x-intercepts and y-intercepts?

Back

X-intercept: the point where the graph crosses the x-axis (y=0). Y-intercept: the point where the graph crosses the y-axis (x=0).

Front

How do you find the x-intercept of the equation 4x - 10y = 20?

Back

Set y = 0 and solve for x. The x-intercept is (5, 0).

Front

How do you find the y-intercept of the equation 4x - 10y = 20?

Back

Set x = 0 and solve for y. The y-intercept is (0, -2).

Front

What is the graphical representation of a system of linear equations?

Back

The solution is represented by the point(s) where the lines intersect.

Front

What is an exponential function?

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What does the notation f(x) represent?

Back

It represents the value of the function f at the input x.

Front

What does it mean for a population model to have a lower bound?

Back

It indicates that the population will not drop below a certain value, often due to factors like resources or space.