25 Algebra Questions- Square and Quadratic Formula

These are multiple choice questions

Submission 24: Completing the Square and the Quadratic

Formula

This is the first time you have looked at it There are 2.5 questions worth 28 points.

Part!

Select the best answer from the choices provided (Each question is worth one point)

Use the discriminant to determine the nature of the roots of XL + 2X + 5 = o.

no real roots

one real root

two distinct real roots

three distinct real roots

Use the discriminant to determine the nature of the roots of XL + 5x + 6 = o.

no real roots one real root

two distinct real roots three distinct real roots

Use the discriminant to determine the nature of the rooL,>of 2XL = o.

no real roots

two distinct real roots

one real root

three distinct real roots

Use the discriminant to determine the nature of the roots of -XL + 4x – 4 = o.

no real roots one real root

two distinct real roots three distinct real roots

Use the discriminant to determine the nature of the roots of XL + 2x + 5 = o.

no real roots one real root

two distinct real roots three distinct real roots

Use the discriminant to determine the nature of the roots of XL – 4x + 4 = o.

no real roots one real root

two distinct real rooL’> three distinct real rooL’>

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

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(x- 4)2 = 12

(x-16)2 = 1

(X+4)2=-12

(x+16)2=-1

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

(x + 3)2 = 6

(x + 3)2 =-6

(x + 2)2 = 6

(x + 2)2 =3

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

5XL + 20X-120 = 0

(x+ 2)2 = 28

(x + 2)2 = -28

ex + 5)2 = -21

(x+ 4)2 = 21

Part 2

Select the best answer from the choices provided. (Each question is worth one point)

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

2XL + 24x + 16 = °

(2X + 6)2 = -28

(x+ 6)2 = 28

(x + 6)2 = -28

(2X+ 6)2 = 28

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

3XL – 24x + 24 = 0

(x- 3)2 = 5

(x+ 4? = 8

(X-4)2=8

(x- 8)2 = 8

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

9XL -18x- 45 = 0

(X-1)2 = 6

(X-9?=11

(x- 9)2 = 1.5

(x+ 1)2 = 6

Use the quadratic formula to solve lOXL – 30x – 100 = O.

x=-20rx=5

x=20rx=-4

x=-50rx= 2

x=-40rx=-2

Use the quadratic formula to solve -4XL + 4x + 80 = o.

x=-50rx=10

x=50rx=-4

x=40rx=-5

X= 100rx=5

Use the quadratic formula to solve 3XL – 12 = o.

x=-20rx=4 x=-20rx= 2

x=20rx=-4 x= -4 orx =-2

Use the quadratic formula to solve XL + 7x + 12 = 0.

x = -8 orx=-4

x=40rx=-8

x=30rx=4

X= -4 orx=-3

Use the quadratic formula to solve -6XL + 6x = o.

x= 10rx=0 x= 0 orx =-1

X=-10rX=2 x=20rx= 1

A baseball player hits a ball. The ball leaves the bat with an initial upward velocity of35 meters per second. If the ball is 1 meter off the ground

when it leaves the bat, about how many seconds will it take for the ball to hit the ground?

7.17 seconds -0.03 seconds

14·34 seconds 35.133 seconds

Part 3

Select the best answer from the choices provided (Each question is worth one point)

Use the discriminant to determine the nature of the roots of 2XL + 4 = o.

no real roots one real root

two distinct real roots three distinct real roots

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a’

5XL – 70x + 220 = 0

(X-7)2 = 11

(X-7)2=-11

(X-7)2 = 5

(x- 5)2 =5

Use the quadratic formula to solve 3XL + 4x – 6 =O.

-2 + V22 -2- V22

x=-2orx=3 X = or x =

6 6

-2 + v’42 -2 – V42 -2 + V22 -2 – V22

x = or x = x = or x =–

3 3 3 3

Use the quadratic formula to solve TXL- 4x – 5 =O.

2+v39 2-V39 4+ V39 4-V39

x = or x = x = or x =—

7 7 7 7

4 +v39 4-V39 2+V39 2-V39

x = or x = x = or x =–

14 14 14 14

Part 4

Type the answer to the question in the textbox below each item. (Each question is worth two points)

Use the discriminant to determine the nature of the roots of -2XL – 5x – 2= O.

Use the technique of completing the square to transform the quadratic equation into the form ex + C)2 = a.