Boost Your Math Skills with our Equations and Inequalities Practice Problems

describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities. $0\le x\le 1,0\le y\le 1$

Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation.
$3x(x-1)=x+6$

Solve the following inequalitie. $[4x-3]\le 2$

solve each of the systems of equations.
$\{\begin{array}{l}{\displaystyle y=\left(\frac{2}{5}\right)x-1}\\ 3x+5y=4\end{array}$

Solve the following system of equations
$\{\begin{array}{l}3x+15y=12\\ \frac{1}{2}x+\frac{5}{2}y=3\end{array}$

Use the elimination method to solve the following systems of linear simultaneous equations
$xty+4z=15$, $x-y+z=2$ and $x+2y-3z=-4$

Solve the following systems of equations.
$\{\begin{array}{l}2x+5y=41\\ 9x-2y=13\end{array}$

Solve for the variable in given equation.
$a+3-3=7-3$

Solve the system of equations, please:
$\{\begin{array}{l}y=-2x\\ 4x+2y=0\end{array}$

When solving the system of equations given below using substitution, which variable is the easiest to isolate?

$\{\begin{array}{l}3x+5y=12\\ x+7y=4\end{array}$

Use the properties of logarithms to solve the following equation.
${\displaystyle \log 7(x+2)=\log 7\left(14\right)-\log 7(x-3)}$

The system below has one solution: $x=1,y=-1,$ and $z=2$.
Solve the systems provided by
(a) Equations 1 and 2,
(b) Equations 1 and 3, and
(c) Equations 2 and 3.
(d) How many solutions does each of these systems have?
$4x-2y+5z=16$ — Equation 1
$x+y=0$ Equation2
$-x-3y+2z=6$ Equation3

Order the steps and justifications in solving the system of linear equations. $\{\begin{array}{l}-2x+y=7\\ 2x+y=-9\end{array}$