(3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · find...
TRANSCRIPT
![Page 1: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/1.jpg)
What are the roots?
(3x + 4)(2x + 7) = 0
![Page 2: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/2.jpg)
Solve for t.
20 48 16t t
![Page 3: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/3.jpg)
Then name the vertex, axis of symmetry,
stretch and the direction of the opening.
1)3(4)( 2xxf
![Page 4: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/4.jpg)
Solve by using factoring.
300 2 yy
![Page 5: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/5.jpg)
Find the equation in standard form
with the roots of 5 and -3.
![Page 6: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/6.jpg)
Find the value of the discriminant for each
quadratic equation. Then describe the nature
of the roots.
042 2x
![Page 7: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/7.jpg)
Use quadratic formula to solve each
equation.
443 2 xx
![Page 8: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/8.jpg)
.167.57)(
formula by thegiven is thrown isit after seconds t ball theofheight The
second.per feet 57.7 of velocity initialan with upstraight thrown is ballA
2ttth
height? maximum its is What
![Page 9: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/9.jpg)
584 2 xx
Solve for x.
![Page 10: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/10.jpg)
Write the inequality for the graph (leave in factored form)
![Page 11: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/11.jpg)
2
1)( 2attvtd i
The distance that an object travels can be calculated by the initial
speed vi, elapsed time t, and the rate of acceleration a are known.
If a motorcycle has an initial speed of 30 m/s and acceleration of 6 m/s2,
how much time will it take to travel 200 meter?
![Page 12: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/12.jpg)
Solve the system.
![Page 13: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/13.jpg)
The product of two consecutive
negative even integers is 24. Find
the integers.
![Page 14: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/14.jpg)
Factor.
23 11152 rrr
![Page 15: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/15.jpg)
Use quadratic formula to solve each
equation.
652 2 xx
![Page 16: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/16.jpg)
Find the equation in standard form
with the roots of 3 and -3 with a
vertex at (0,4.5)
![Page 17: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/17.jpg)
Find the value of the discriminant for
each quadratic equation. Then describe
the nature of the roots.
1682 xx
![Page 18: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/18.jpg)
The length of a rectangle is three
more than twice the width.
Determine the dimensions that will
give the rectangle a total area of 27
m2.
![Page 19: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/19.jpg)
Solve for x.
10133 2 xx
![Page 20: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/20.jpg)
Find the value of the discriminant for each
quadratic equation. Then describe the nature
of the roots.
049142 xx
![Page 21: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/21.jpg)
Write a quadratic equation that has
roots 6 and -9.
![Page 22: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/22.jpg)
Write the inequality for the graph (leave in factored form)
![Page 23: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/23.jpg)
Solve the system.
![Page 24: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/24.jpg)
A sidewalk of uniform width is to be
built around a rectangular 8 m x 10 m
garden. If the area of the sidewalk is
to be one half the area of the garden,
how wide should the sidewalk be?
![Page 25: (3x + 4)(2x + 7) = 0danielsroar.weebly.com/uploads/5/3/1/4/5314494/quadratics_review_… · Find the equation in standard form with the roots of 3 and -3 with a vertex at (0,4.5)](https://reader033.vdocument.in/reader033/viewer/2022051900/5feeff3233f24378970c8261/html5/thumbnails/25.jpg)
1. x = -4/3 or -7/2
2. t = 0 or 3
3. Vertex: -3, -1 aos: x = -3
stretch 4 open up
4. Y = -6 or 5
5. x2 – 2x – 15
6. Discriminant -32
2 imaginary
7. x = 2/3 or -2
8. 52.02 ft
9. x = -.5 or 2.5
10. y<(x+3)(x-5)
11. 4.57 sec
12. (-4,-1) (1,4)
13. -6 and -4
14. r = 0, 5/2 or 3
15. (4+- sqrt(73))/4
16. -0.5x^2+4.5
17. -52, 2
imaginary roots
18. 3x9 m
19. 10/3 or ½
20. 0, 1 real rational
21. x2+3x-54
22. Y>= (x+1)2
23. (-1,4) (2,7)
24. 1 m