Sem. 1 final exam

Front

What is the definition of a solution in mathematics?

Back

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

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism is given by the formula: SA = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a line?

Back

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

Front

How do you find the point of intersection of two linear equations?

Back

To find the point of intersection, solve the two equations simultaneously to find the values of x and y that satisfy both equations.

Front

What is the cost function for Taxi company A?

Back

The cost function for Taxi company A is C_A(x) = 8 + 0.75x, where x is the number of miles.

Front

What is the cost function for Taxi company B?

Back

The cost function for Taxi company B is C_B(x) = 6 + 1.25x, where x is the number of miles.

Front

How do you determine when two cost functions are equal?

Back

Set the two cost functions equal to each other and solve for x to find the number of miles at which the costs are the same.