# Algebra 1 questions and answers

Recent questions in Algebra I

Functions

Algebra I

### Solve the exponential equation $$\displaystyle{6}^{{\frac{{{x}-{3}}}{{4}}}}=\sqrt{{{6}}}$$ by expressing each side as a power of the same base and then equating exponents.

Piecewise-Defined Functions

### Solve the exponential equation $$3^x=81$$ by expressing each side as a power of the same base and then equating exponents.

Piecewise-Defined Functions

### Consider the function $$\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{3}}}+{6}{x}^{{{2}}}-{90}{x}+{8},{\left[-{5},{4}\right]}$$ find the absolute minimum value of this function. find the absolute maximum value of this function.

Exponential models

### Simplify and express the final result using positive exponents. $$\displaystyle{\left({\frac{{{4}{a}^{{-{2}}}}}{{{3}{b}^{{-{2}}}}}}\right)}^{{-{2}}}$$

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

Exponential models