What are the roots?
(3x + 4)(2x + 7) = 0
Solve for t.
20 48 16t t
Then name the vertex, axis of symmetry,
stretch and the direction of the opening.
1)3(4)( 2xxf
Solve by using factoring.
300 2 yy
Find the equation in standard form
with the roots of 5 and -3.
Find the value of the discriminant for each
quadratic equation. Then describe the nature
of the roots.
042 2x
Use quadratic formula to solve each
equation.
443 2 xx
.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
584 2 xx
Solve for x.
Write the inequality for the graph (leave in factored form)
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?
Solve the system.
The product of two consecutive
negative even integers is 24. Find
the integers.
Factor.
23 11152 rrr
Use quadratic formula to solve each
equation.
652 2 xx
Find the equation in standard form
with the roots of 3 and -3 with a
vertex at (0,4.5)
Find the value of the discriminant for
each quadratic equation. Then describe
the nature of the roots.
1682 xx
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.
Solve for x.
10133 2 xx
Find the value of the discriminant for each
quadratic equation. Then describe the nature
of the roots.
049142 xx
Write a quadratic equation that has
roots 6 and -9.
Write the inequality for the graph (leave in factored form)
Solve the system.
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?
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