Solve Quadratic Equations By The Quadratic Formula Worksheet - Chapter 10.6 Page 4
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1
2
3
4
5
6
7EXERCISES
HOMEWORK
10.6
5
WORKED-OUT SOLUTIONS
KEY
on p. WS1 for Exs. 19 and 47
★
5
STANDARDIZED TEST PRACTICE
Exs. 2, 12, 25, and 50
5
MULTIPLE REPRESENTATIONS
Ex. 49
S
P
KILL
RACTICE
VOCABULARY
What formula can be used to solve any quadratic
1.
equation?
★
What method(s) would you use to solve 2x
2
1 8x 5 1?
WRITING
2.
Explain your choice(s).
SOLVING QUADRATIC EQUATIONS
EXAMPLES
Use the quadratic formula to solve the
1 and 2
equation. Round your solutions to the nearest hundredth, if necessary.
on pp. 671–672
2
2
2
1 5x 2 104 5 0
2 x 2 18 5 0
2 2x 2 28 5 0
x
4x
6x
3.
4.
5.
for Exs. 3–27
2
1 3m 1 1 5 0
2z
2
1 z 1 14 5 0
22n
2
2 5n 1 16 5 0
6.
m
7.
8.
2
1 20w 1 25 5 0
2
1 3t 2 11 5 0
26g
2
1 9g 1 8 5 0
9.
4w
10.
2t
11.
★
2
2 3x 2 1 5 0?
MULTIPLE CHOICE
12.
What are the solutions of 10x
1
1
1
1
1
1
1
1
A 2
and 2
B 2
C
and 2
D
}
}
}
}
}
}
}
}
and
and
5
2
5
2
5
2
5
2
SOLVING QUADRATIC EQUATIONS
Use the quadratic formula to solve the
equation. Round your solutions to the nearest hundredth, if necessary.
2
2 5x 5 14
2
2 4 5 11x
9 5 7x
2
2 2x
x
3x
13.
14.
15.
2
1 9m 1 7 5 3
210 5 r
2
2 10r 1 12
2
2 6g 2 14 5 3g
16.
2m
17.
18.
3g
2
5 2z
2
1 7z 1 5
2
1 8 5 6 2 9h
2
2 3t 5 5 2 3t
2
6z
8h
4t
19.
20.
21.
2
2
2
24y
2 3y 1 3 5 2y 1 4
7n 1 5 5 23n
1 2
1 4 5 w 1 6
5w
22.
23.
24.
★
2
1 14x 5 2x 2 11?
MULTIPLE CHOICE
What are the solutions of x
25.
A 22 and 222
B 21 and 211
C 1 and 11
D 2 and 22
ERROR ANALYSIS
Describe and correct the error in solving the equation.
2
2 5x 2 1 5 0
22x
2
1 3x 5 1
7x
26.
27.
}}
}}
Ï
Ï
25
2 4(7)(21)
23
2 4(22)(1)
2
2
6
6
(25)
3
x 5
x 5
}}
}}
2(7)
2(22)
}
}
25
Ï
23
Ï
6
6
53
17
5
5
}
}
24
14
20.88 and x
20.28 and x
ø
ø
ø
ø
x
0.16
x
1.78
EXAMPLE 4
CHOOSING A METHOD
Tell what method(s) you would use to solve the
quadratic equation. Explain your choice(s).
on p. 673
for Exs. 28–33
2
2 27 5 0
2
5 25
2
2 12x 5 0
28.
3x
29.
5x
30.
2x
2
1 5m 1 6 5 0
2
2 4z 1 1 5 0
210g
2
1 13g 5 4
m
z
31.
32.
33.
674
Chapter 10 Quadratic Equations and Functions
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