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Math Section 6.1 Practice

This document contains a practice worksheet for algebra concepts involving quadratic functions and equations. The worksheet contains 7 problems: 1. Rewrite quadratic equations in the form y=(x-h)2+k by completing the square. 2. Determine the value of c that makes quadratic expressions perfect squares. 3. Match quadratic graphs to their equations. 4. Rewrite quadratic equations in vertex form and sketch the graph. 5. Find the maximum or minimum points of parabolas by completing the square. 6. Determine the maximum height and horizontal distance of a golf ball's path modeled by a quadratic equation. 7. Determine the revenue relation, maximum revenue price, number of

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Zebby Skelington
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113 views3 pages

Math Section 6.1 Practice

This document contains a practice worksheet for algebra concepts involving quadratic functions and equations. The worksheet contains 7 problems: 1. Rewrite quadratic equations in the form y=(x-h)2+k by completing the square. 2. Determine the value of c that makes quadratic expressions perfect squares. 3. Match quadratic graphs to their equations. 4. Rewrite quadratic equations in vertex form and sketch the graph. 5. Find the maximum or minimum points of parabolas by completing the square. 6. Determine the maximum height and horizontal distance of a golf ball's path modeled by a quadratic equation. 7. Determine the revenue relation, maximum revenue price, number of

Uploaded by

Zebby Skelington
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Name: ___________________________________ Date: _______________________________

…BLM 6–4...

Section 6.1 Practice Master

1. Use algebra tiles to rewrite each relation in the

form y = (x – h)2 + k by completing the square.


a) y = x2 + 4x + 5
b) y = x2 − 10x + 7
c) y = x2 + 2x + 6

2. Determine the value of c that makes each


expression a perfect square.
a) x2 + 8x + c
b) x2 + 12x + c
c) x2 − 20x + c

d) x2 − 30x + c

3. Match each graph with the appropriate


equation. 4. Rewrite each relation in the form
a) y = (x − 3) + 2
2
y = a(x − h)2 + k by completing the square.
b) y = (x + 1)2 + 4 Then, sketch a graph of the relation, labelling
c) y = (x − 1) + 5
2 the vertex, the axis of symmetry, and two
other points on the graph.
d) y = (x + 3)2 − 2 a) y = 2x2 − 12x + 22

b) y = −x2 + 2x + 4

c)
d) y = −1.5x2 + 6x − 5

5. Find the maximum or minimum point for each

parabola by completing the square.


a) y = −x2 + 4x − 4
b) y = 2x2 + 12x + 17

c)

Principles of Mathematics 10: Teacher’s Resource Copyright © 2007 McGraw-Hill Ryerson Limited
BLM 6–4 Section 6.1 Practice Master
Name: ___________________________________ Date: _______________________________

…BLM 6–4...
(page 2)

d) y = 3x2 − 30x + 73

6. The path of a golf ball can be modelled by the


equation h = −2d2 + 12d − 13, where d
represents the horizontal distance, in metres,
that the ball travels and h represents the height
of the ball, in metres, above the ground. What
is the maximum height of the golf ball and at
what horizontal distance does it occur?

7. Angie sold 1200 tickets for the holiday


concert at $20 per ticket. Her committee is
planning to increase the prices this year. Their
research shows that for each $2 increase in the
price of a ticket, 60 fewer tickets will be sold.
a) Determine the revenue relation that
describes the ticket sales.
b) What should the selling price per ticket be
to maximize revenue?
c) How many tickets will be sold at the
maximum revenue?
d) What is the maximum revenue?

Principles of Mathematics 10: Teacher’s Resource Copyright © 2007 McGraw-Hill Ryerson Limited
BLM 6–4 Section 6.1 Practice Master
Name: ___________________________________ Date: _______________________________

…BLM G3...

Principles of Mathematics 9: Teacher’s Resource Copyright © 2006 McGraw-Hill Ryerson Limited.


BLM G2 Vertical Number Line

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