Algebra Word Problem Solutions

A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. any number between 4 and 7 inclusive

A man weighs ${\displaystyle \frac{5}{6}}$ of his weight plus 30 pounds. What is his weight?

${\displaystyle \left(\frac{\sqrt{12w^5}}{3w}\right)}$

$y=4x-3$ for $x=1,2,3,4,5,6$

Mt. Everest is 8707.37 feet higher than Mt. McKinley. What is the elevation of Mt. Everest?

Simplify the expression $4\times 3+4x$

${\displaystyle 2x+1=2x-1}$
solve for x.

Let a and b be positive numbers such that $a<b$. State whether the absolute value equation has no solution, two negative solutions, two positive solutions, or one positive and one negative solution.
$|x-b|=-a$
no solution
two negative solutions
two positive solutions
one positive and one negative solution

Solve ${\displaystyle \log 4(x+3)+\log 4(2-x)=1}$

Graph each polynomial function. Factor first if the expression is not in factored form. ${\displaystyle f\left(x\right)=(4x+3){(x+2)}^2}$

What are the zeros of the function? Plot the function $y=(x+3)(x-3)(x-4)$

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

Solve an equation involving absolute value.

Solve absolute value inequality : ${\displaystyle \left|x\right|>3}$

Given a linear system of equations below. The matrix equation of the linear system is given by: (see image)
Given a linear system of equations below.The matrix equation of the linear system is given by:$Ax=b$.The determinant of A is 8.Using Cramers's rule find the value for x.
$x+3y+4z=3$
$2z+6y+9z=5$
$3x+y-2z=7$

T=mg-mf
solve for m

Solve the compound interest formula for the interest rate r using the properties of rational exponents. then use the obtained formula to calculate the interest rate for an account that was compounded semi-annually, had an initial deposit of $10,000 and was worth $14,373.53 after 11 years.

In 2012, the worlds population was 7 billion and the population was projected to reach 8 billion by the year 2025. What was the annual growth rate projected? Round to four decimals.

Perform the indicated divisions of polynomials by monomials.
$\frac{-18x^2{y}^2+24x^3{y}^2-48x^2{y}^3}{6xy}$

Need to calculate:The factorization of $x^3-7x^2+4x-28$.