Algebra Unit Review

Solve the following problems for \( x \) (remember, fractions are expressed as x/y, no spaces):

\( 2x+3=11 \)

\( 3x+1=7 \)

\( x+9=-1 \)

\( 5x-2=8 \)

Solve the following problems for \( x \):

\( 10x-10=90 \)

\( \frac{x}{5}+1=9 \)

\( 6x-6=0 \)

\( \frac{2x}{2}=1 \)

Solve the following problems for \( x \):

\( \frac{3x}{x}+x=6 \)

\( \frac{x}{9}=1 \)

\( \frac{2x}{3}=2 \)

\( \frac{6x}{3}+2=4 \)

Solve the following problems for \( x \) only:

\( x+y=10 \)

\( x-y=4 \)

\( 2x+y=9 \)

\( 3x-3y=9 \)

\( 2x+y=0 \)

\( y=-2 \)

\( x+y=8 \)

\( x-y=0 \)

The following problems will either ask for slope, or the \( x \)-intercept in (num1,num2) form, no spaces.

Find the slope:

\( 2x-y=4 \)

Find the \( x \)-intercept

\( 2x-y=4 \)

Find the slope:

\( 3x+2y=0 \)

Find the \( x \)-intercept

\( 3x+2y=0 \)

The following problems will ask for the value of the expression.

\( \sqrt{256} \)

\( 5^3 \)

\( 2^{10} \)

\( \sqrt{1^{\sqrt{2}}} \)

The following problems will ask for either the sum or product of the equation.

Find the sum of the roots:

\( x^2+4x-9=1 \)

Find the product of the roots:

\( 6x^2-5x+0=2 \)

Find the product of the roots:

\( x^2=0 \)

Find the sum of the roots:

\( x^2+3x+9=9 \)