9.4-9.6 Solving Quadratic Equations Summative Review

Solve the quadratic using the quadratic formula.

6x² - 6x -12=0

• {2, -1}

• {5, -3.4}

• No solution

• {7.5, -6}

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

Use the quadratic formula to solve

2x²-x -3=0

• x=-3/2  x=1
• x= 3/2 x= -1
• x= -3/2 x= -1
• x= 3/2 x= 1

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Solve for x using the quadratic formula. Round to the nearest hundredth if necessary.

3x² = 16x + 12

• x = -0.67 and x = 6

• x = -6 and x = 0.67

• x = 3.33 and x = 18

• x = -3.33 and x = 18

Solve the equation in factored form using the zero-product property

(x-5)(x+4)=0

• x=-7 and x=-1

• x=5 and x=2

• x=5 and x=-4

• x=5 and x=-7

Find the zeros of this quadratic.

• b=4/5, b=3
• b=4, b=-3
• b=1/5, b=3
• b=4/5, b=-3

Solve using Zero-Product Property
(x-11)(5x+1) = 0

• x = 11 or x = -1/5
• x = -11 or x = -1/5
• x = 11 or x = 1/5
• x = -11 or x = 1/5

Solve using the Zero-Product Property.

7x(x − 6) = 0

• x =7 and x = −6

• x = 0 and x = 6

• x = 0 and x = −6

• x = 7 and x = 6

Solve the quadratic equation by factoring.

x² -8x + 12 = 0

• x=-2 and x=0

• x=2 and x=6

• x=-4 and x=-6

• x=-2 and x=-6