Master Algebra 1 Word Problems with our Comprehensive Practice

Find the function if the second term in an arithmetic sequence is 5 and the fifth term is 68

Find the slope of a line that is perpendicular to a line with a slope of ${\displaystyle -\frac{3}{2}}$

Use linear programming to find maximum and minimum values

Find the sum of a geometric sequence whose first term is -160, whose last (nth) term is 5, and whose common ratio is -1/2

Find the slope of a line that is perpendicular to a slope of -4/3

Find the first three terms of this sequence if the given is 4n+5

Write the nth term rule for the arithmetic sequence with d=4 and ${\displaystyle a_{14}=46}$

Find the slope of a line perpendicular to the graph of each equation ${\displaystyle y=\frac{x}{-5}-7}$

Find the perimeter of a figure with sides 4cm, 14.56 cm, and 0.14 m

The system is:
$x^2+2y^2+3xy=12$
$y^2-<!--\; -\; -->3y=4$
Turn $x^2+2y^2+3xy$ into $(x+y{)}^2+y^2+xy$, but it's a dead end from here. Any help?

Find the common ratio of 1,4,16,64,...

Why do we use the form $f(t)=a{e}^{kt}$ for exponential growth and decay?
Why will we include the $e^k$?
would not or not it's simpler to definitely use $f(t)=a{p}^t$ wherein p is the proportion growth according to time.
Is there a reason why the convention is to apply $f(t)=a{e}^{kt}$?

Given $a\in <!--\; \in \; -->\mathbb{R}$, such that the two roots in
$$f(x)=x^2+ax+(2a+319)$$
are both positive integers. Find a.

Is there an inverse for a quartic function?
For a programming project, I'm trying to figure out the inverse of a quadratic function: $f(x)=a{x}^4+b{x}^3+c{x}^2+dx+e$. In my case, the numbers a, b, c, d and e are all known constants, but rather annoying non-integers going about five places past the decimal point.
I have a function that returns the result when x is processed through the equation, but what I now need is a function that will return the result back to the original input.
Is there an inverse to the function above, which I would be able to re-use the same constants? If I have to go about finding this solution myself, are there any resources that will explain the steps involved in simple language?
It's been twenty years since my last math class, and I don't recall ever getting into solving fourth degree equations. I've found all sorts of information about trying to solve and find the roots for quartic equations, although I don't quite understand what they're doing, but nothing on a plain old inverse of the function.

What is square root of 169?

Which equation gives the number of 1/3 inches that are in 5/6 inch?

Write an equation Perpendicular to the line -3x + y = -7 and Contains the point of: (3,1)

In the xy coordinate plane the slope of line p is 1/2 and its x-intercept is -3. How do you find the equation of a perpendicular to p and intersects p at is x-intercept.?

In the sequence, the first term is 4 and the common difference is 3. The fifth term of this sequence is what?

Find the width and the length if the length of a rectangle is 8 cm greater than the width. The area of the rectangle is 105 cm 2