Algebra Midterm Exam 2024

Front

What is a relative maximum in a function's graph?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

What does it mean if a function has no line of symmetry?

Back

It means that the graph of the function does not reflect evenly across any line; the left and right sides of the graph do not match.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations.

Front

What is the solution to the equation 21 = 3p - 6?

Back

p = 9.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is an x-intercept?

Back

An x-intercept is the point where a graph crosses the x-axis, meaning the y-coordinate at that point is zero.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) values increase, the output (y) values also increase.

Front

What is the difference between a relative maximum and a relative minimum?

Back

A relative maximum is a peak point where the function value is higher than nearby points, while a relative minimum is a valley point where the function value is lower than nearby points.