Algebra 1 Final Review

For the standard form equation $x^2+3x+7$  
Pick the correct a, b, and c values.

• a = 3, b = 1, c = 7

• a = 1, b = 7, c =3

• a = 1, b = 3, c = 7

• a = 7, b = 3, c =1

Using the Quadratic Formula above, solve the quadratic equation

 $x^2+4x-8$  

•  $-2\pm2\sqrt{3}$  

•  $-4\pm4\sqrt{3}$  

•  $-2\pm\sqrt{2}$  

•  $-4\pm\sqrt{3}$  

Factor the quadratic:

 $x^2+2x-15$  

• (x-5)(x-3)

• (x+3)(x-5)

• (x+2)(x-15)

• (x+5)(x-3)

Which point represents the vertex of the quadratic? Is it a maximum or minimum?

• (-1.5,-12.25) maximum

• (-5,0) minimum

• (-1.5,-12.25) minimum

• (-5,0) maximum

What are the roots of this quadratic function?

• -5 and 2

• -2 and 5

• -1.5 and -12.25

• 1.5 and 12.25

The area of a garden is represented by the expression, $x^2-5x-66$  , given the length of the garden is (x - 11), find the width of the garden.

• (x-5)

• (x+6)

• (x-6)

• (x+11)

What are the solutions to the quadratic equation?

 $\left(x-7\right)\left(x+2\right)=0$  

• -7, 2

• -2, 7

• 0, 2

• 0, -7

When completing the square, what number would go in for the blanks?

 $x^2+8x\ +\$  _____ + 9 - _____

• 4

• 2

• 9

• 16

What is the vertex of the quadratic function:

 $f\left(x\right)=\left(x-1\right)^2+8$  

• (1,8)

• (-1,8)

• (8,-1)

• (8,1)

Will the vertex of the equation be a maximum or minimum? $f\left(x\right)=-3\left(x+2\right)^2-10$  

• Maximum

• Minimum