Master Algebra 1 Word Problems with our Comprehensive Practice

Find the nth term rule for 34,25,16,7,−2,...

Find the slope of any line perpendicular to the line passing through (−3,−4) and (−2,−3)

Find the extreme values of the function
$$f(x)=\frac{x^2-<!--\; -\; -->1}{x^2+1}$$
on the interval [-5,5].

Find all critical numberss of the function $$f(x)=x^3+4x^2-<!--\; -\; -->6x+4$$ If there is more than one critical number, then list them separated by commas.

What is the sum of the first 5 terms of the sequence if the first term of a geometric sequence is 4 and the multiplier, or ratio, is –2

If $a+b+c=0$ and $a^2+b^2+c^2=1$, work out $a^4+b^4+c^4$.
Could this problem admit a solution through the method of lagrange multipliers.

Determine whether the sequence 5,1,0.2,0.04,... is geometric and if it is, what is the common ratio

Find the explicit formula for the arithmetic sequence, then find ${\displaystyle a_{14}}$ given ${\displaystyle a_1=9,d=-5}$

$f(x)$ is a differentiable function defined for x>2 satisfying
$${\int <!--\; \int \; -->}_3^{ab+2}f\left(x\right)dx={\int <!--\; \int \; -->}_3^{a+2}f\left(x\right)dx+{\int <!--\; \int \; -->}_3^{b+2}f\left(x\right)dx$$
where $a,b\in <!--\; \in \; -->(1,\mathrm{\infty <!--\; \infty \; -->})$) and find f(x)

what is the remainder when -1 is divided by 5?

Units for rate of change, instantaneous or otherwise
If we multiply a principal amount A0 in dollars ($) by an interest rate r in percentage (%) once, let's say for a month (m), then we have an amount A in dollars per month ($/m)
$$A(\text{\$/m})=A_0(\text{\$})\cdot <!--\; \cdot \; -->r(\text{\%})$$
The problem is that for the devices to agree arithmetically, the hobby rate might ought to be in units of in keeping with month (/m). that is additionally the case if we multiply the hobby rate by using a time frame t in months per year (m/y), then we've an amount in dollars consistent with yr($/y)
$$A(\text{\$/y})=A_0(\text{\$})\cdot <!--\; \cdot \; -->r(\text{\%})\cdot <!--\; \cdot \; -->t(\text{m/y})$$
Once again, the interest rate would have to be in units of per month (/m) which looks strange. This is still the case for the instantaneous rate of change of the amount with respect to time $\frac{dA}{dt}$ in dollars per period of time ($/m), which looks a lot like the formula for exponential growth and decay
$$\frac{dA}{dt}(\text{\$/m})=A_0(\text{\$})\cdot <!--\; \cdot \; -->r(\text{\%})$$
Another time, the hobby fee could need to be in units of per month(/m). i have continually considered a charge like a scaling element with out wondering plenty of the units, so how am i able to make feel of the gadgets for the above interest charge?

A function value and a quadrant are given. Find the other five function values.
$\sin <!--\; \; -->\mathrm{\theta <!--\; \theta \; -->}=-<!--\; -\; -->\frac{1}{4}$, Quadrant IV

What is the slope of a line perpendicular to this line if the slope of a line is 1/3

After school, Maun'ce walks ${\displaystyle \frac{1}{3}}$ mile to the park and then walks ${\displaystyle \frac{1}{2}}$ mile to his house. How far does Maurice walk from school to his house?

How do you write 0.25y=10 in standard form and what is A, B, C?

Write an equation in point-slope form for the given (-3, 2) and (2, 1)

Find the equation of the line in slope-intercept form that is perpendicular to the line -4x - 3y = 9 and passes through (12, -7)

Find the slope perpendicular to x=0

${\displaystyle y=-\frac{2}{2}+7}$