Pattern of Squares
Quadratic Gravity Models
Quadratic Forms
Factoring
Graphs of Quadratics
100

Draw a picture of pattern 4 for the following pattern of squares. 

See document camera

100

A ball is dropped from 1000 feet. 

a. Write a model that tracks the height of the ball

b. Find the height of the ball after 2 secs

a. h = -16t2 + 1000

b. 936 feet

100

Turn into standard form:

(5x - 8)(4x +3)

20x2 - 17x -24

100

Factor the expression 

5x+50

5(x+10)

100

What are the x-intercepts of the following graph?

y= (x - 7) (2x-11)

(7, 0) and (5.5, 0)

200

Draw pattern 4 for the pattern of squares

See document camera

200

A ball is thrown up at a velocity of 65 ft/s from a height of 50 feet. 

a. Write a model the find the height of the ball

b. Find the height of the ball after 4 secs

a. h = -16t2 + 65t + 50

b. 54 feet

200

Turn into standard form:

(2x+2)(3x2+4x+5)

6x3+14x2+18x+10

200

Factor the expression

x2 + 9x + 20

3x(2x-9)

200

Find the vertex of the following quadratic function:

y = -2 (x +2) (x+8)

(-5, 18)

300

Write a quadratic expression of pattern P for the pattern of squares. 

P2 + 2

300

A rock is thrown downward at 80 ft/s from the top of a 1200 ft canyon. Use a gravity model to find the height of the rock after 6 secs.

144 feet

300

Turn following into standard form:

(x+4)2+12

x2+8x+28

300

Factor the quadratic expression:

x2+12x+35

(x+5)(x+7)

300

Sketch the following quadratic graph

y = x2 + 9x + 20 ? 

Make sure to include x-intercepts, y-intercept, and vertex. 

See graph. 

400
Find out how many squares would be in step 20 of the following pattern of squares. 

861

400

A garden is being built with 400 ft of fencing with the fencing being used for all 4 sides. 

a. Write an area model for the garden in terms of the width, w. 

b. Find the maximum area of the garden. 

a. A = w (200 - w)


b. 10,000 square feet

400

Turn into standard form:

5(x+9)2 - 20 

5x2 + 90x + 709

400

Factor the quadratic expression:

x2 - 5x - 66

(x-11)(x+6)
400
Sketch a graph of the following quadratic function:


y = 2(x-4)2 - 9

See graph

500

Write a quadratic expression for pattern P for the pattern of squares. 

4P2 + 5p - 1

500

A ball is thrown from 80 ft at 90 ft/s upward. Without a graph, find the maximum height of the ball. 

206.5625 feet. 

500

Turn into vertex form: 

2x2 + 36x + 170

2(x + 9)2 + 8

500

Factor the expression:

4x2 + 40x + 84

4(x+7)(x+3)

500

Graph the following function 

y= x2 + 16x + 71

See graph

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