Algebra II Exam Part 1

Graph the quadratic function on www.desmos.com/calculator and list the solutions.

 $f\left(x\right)=-x^2-11x-28$  

• x= {-7, -4}

• x= {-4, 7}

• x = {-4}

• No solution

Graph the quadratic function on www.desmos.com/calculator and list the solutions.

 $f\left(x\right)=-3x^2+9x$  

• x = {-3, 9}

• x = {0, 3}

• x = {-9, 3}

• No solution

Graph the quadratic function on www.desmos.com/calculator and list the solutions.

 $f\left(x\right)=-x^2+8x-17$  

• x = {-17, 8}

• x = {-8, 17}

• x = {8}

• No solution

 $f\left(x\right)=8x^2+56x+96$  

Graph the quadratic function on www.desmos.com/calculator and list the solutions.

• x = {-4, 3}

• x = {-3, -4}

• x = {-3, 4}

• No solution

Solutions to a quadratic equation are...

• the points at which the function intersects the x-axis.

• the points at which the function intersects the y axis.

• the points at which the function crosses zero.

• the points at which the function is furthest away from the origin.

Solutions to quadratic equations are also known as...

• x-intercepts

• zeros

• roots

• all of the above

Solve the quadratic by factoring. (GCF)

 $12x^2-18x=0$  

• x = {12, -18}

• x = {0, 3/2}

• x = {0, 2/3}

• x = {-12, 18}

Solve the quadratic by factoring. (GCF) $4x^2+8x=0$  

• x = (-8, -4}

• x = {4, 8}

• x = {0, 2}

• x = {-2, 0}

Solve by factoring the quadratic. (Difference of Squares)

 $9x^2-25=0$  

•  $x\ =\ \left\{-\frac{5}{3},\frac{5}{3}\right\}$  

•  $x\ =\ \left\{-\frac{3}{5},\frac{3}{5}\right\}$  

•  $x\ =\ \left\{-\frac{9}{25},\frac{9}{25}\right\}$  

•  $x\ =\ \left\{-\frac{25}{9},\frac{25}{9}\right\}$  

Solve the following quadratic by factoring. (Difference of Squares)
 $x^2-81=0$  

• x = {-81, 81}

• x = {0, 9}

• x = {-9, 9}

• No solution