Week 5 Math Review Day 1

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does the slope-intercept form of a line look like?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line y = -3x + 1?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 1) for this equation.

Front

What is the meaning of the term 'range' in 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 determine the range of a linear function given its equation?

Back

To determine the range, substitute the minimum and maximum values of x into the function and calculate the corresponding y-values.

Front

What is the cost function for purchasing video games online?

Back

The cost function is c = 16.95x + 4.75, where c is the total cost and x is the number of video games purchased.

Front

If 4 video games are purchased, what is the total cost?

Back

The total cost is c = 16.95(4) + 4.75 = 73.55 dollars.

Front

If 7 video games are purchased, what is the total cost?

Back

The total cost is c = 16.95(7) + 4.75 = 123.4 dollars.

Front

What is the range of the cost function when purchasing between 4 and 7 video games?

Back

The range is from 73.55 to 123.4 dollars.