Quarterly #3 Review

Solving - Any Method

100

Solve the quadratic equation: 6x^2+7x-3=0

X= 1/3 or -1.5

200

X^2+15x-16=0

X=1 or -16

300

Solve the equation: 15x^2-26x-21=0

X=7/3 or -3/5

400

Solve the equation: x(10x-1)=2

X=0.5, x = -0.4

500

2y^2+4y=7y+8

Y= 3+(square root)73/4 or 3-(square root)73/4

Factoring

100

Factor: x^2+3x-4

(X+4)(x-1)

200

Factor and solve: 2x^2+7x+3 = 0

x = -3, x = -0.5

300

Factor: X^2+5x

(X+0)(x+5)

400

Factor: X^2-x-132

(x - 12)(x + 11)

500

Solve by factoring: (x + 2)(x + 3) = 12.

X= -6 & 1

Standard Form vs. Vertex Form

100

Standard form of: Y=(x+3)^2-1

y=x^2+6x+8

200

Standard form of: y=(x+5)^2-9

Y=x^2+10x+16

300

Vertex form of: Y = 3x^2 - 18x - 48

y = 3(x+3)^2 - 75

400

Standard form of: y=(x+5)(x+6)

Y=x^2+11x+30

500

Vertex form of: y = 2x^2 - 2x - 8

y = 2(x - 0.5)^2 -8.5

X - Intercepts

100

Find the x-intercept of: y=x^2-2x-8

X=4 & -2

200

Find the X-intercept of:y=(x-2)(x+4)

X=2 & -4

300

Find the y-intercept: y=x^2+6x-16

(0,-16)

400

Find the x-intercepts: y=3(x+2)(x-8)

X=-2 & 8

500

Find the x-intercepts: 5x^2-34x+24=0

X= -4 & -30

Word Problems

100

Jim threw a baseball out of a window on the fourth floor. The position of of the baseball is determined by the parabola y= -x^2+4. How many feet from the building does the ball hit the ground?

Using the quadratic formula it lands on 2.

200

A Rock is thrown in the air straight up, from 3 m above the ground, with a velocity of 14m/s. Gravity pulls it down by 5m/s per second. When does it hit the ground?

Hits the ground at 3.1 seconds

300

A shoe is dropped from a height of 60 feet. The quadratic equation (d=-5t^2+60) provides the distance ,d, of the shoe after ,t, seconds. After how many seconds, does the ball hit the ground?

3.5 seconds

400

A softball is thrown at 19.6 meters per second from a 58.8 meter tall platform. The equation fit the softballs height ,s, at time ,t, seconds after being thrown is s(t)=-4.9t^2+19.6t+58.8, where ,s, is in meters. When does the softball hit the ground?

Hits the ground 6 seconds after being thrown

500

The product of two consecutive negative integers is 1122. What are the numbers?

X= -33 & -34