Unit Test: Quadratic Equations

Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots). 6x^2+4x−3=0 Enter your answers in the boxes.

x= 0.45 or x=-1.12

Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots). 2x^2−5x+1=0 Enter your answers in the boxes.

x= 2.28 or x=0.22

Solve the quadratic equation for x. 4x^2+8x=0

x=0 or x=-2

Solve the quadratic equation for x. 3x^2+12x=0

x=0 or x=-4

Solve the quadratic equation for x. (x−4)(x+6)=0

x=4 or x=-6

Solve the quadratic equation for x. (x−5)(x+3)=0

x=5 or x=-3

Solve for x. x^2−9=16 Enter the solutions for the equation in the boxes.

x=5 or x=-5

Solve for x. x^2−9=55 Enter the solutions for the equation in the boxes.

x=8 or x=-8

For which equation does it make the most sense to solve by using the square root property? 2x^2+3x=−3 x² + 2x + 1 = 0 x^2+4x=−3 4x^2−5=20

4x^2−5=20

Identify a, b, and c in the following quadratic equation x^2+10x=-5 a= b= c=

a=1 b=10 c=5

Identify a, b, and c in the following quadratic equation 3x2−7x=12. a= b= c=

a=3 b=-7 c=-12

Which strategy is the most appropriate strategy to solve (x-1)^2=9? zero product property square root property

square root property

Which strategy is the most appropriate strategy to solve 5x^2−10=40? zero product property square root property

square root property

Solve for x. x² + 6x + 9 = 12 x=−3±2√3 x=−9±2√3 ​x=−3±4√3 x=−9±4√3

x=−3±2√3

Solve for x. x² + 10x + 25 = 27 x=−5±3√3 ​x=−5±9√3 ​ x=−10±3√3 ​ ​x=−10±9√3

x=−5±3√3

For which equation does it make the most sense to solve by using the zero product property? 2x^2+2x−9=0 4x^2−2=15 x² + 2x = 119 x² + 11x +30 = 0

x² + 11x +30 = 0