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Infinite Algebra 1 - A54 - Solving Quadratics Chapter Review
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Infinite Algebra 1 - A54 - Solving Quadratics Chapter Review
Solve each equation by factoring. 3) 3x2 - 6x = 144. 4) 2x2 - 2x = 84. 5) 2b2 + 64 = 24b. 6) 2n2 + 20n = -32. Solve each equation by taking square roo...
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Algebra 1
Name___________________________________ ID: 1
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A54 - Solving Quadratics Chapter Review
Date________________ Period____
Sketch the graph of each function, then complete the missing information. 1) f ( x) = - x 2 + 8 x - 18
2) f ( x) = 2( x - 3) 2 - 4
y
y 1
2
3
4
5
6
5
7 x
4
-1
3 -2
2 1
-3
1
-4
2
3
4
5
6
7
8
9
10 x
-1 -5 -6
-2 -3 -4
-7
-5
Solve each equation by factoring. 3) 3 x 2 - 6 x = 144
4) 2 x 2 - 2 x = 84
5) 2b 2 + 64 = 24b
6) 2n 2 + 20n = -32
Solve each equation by taking square roots. 7) 4(n - 2) 2 + 4 = 20
8) 3r 2 + 8 = -23
9) 10n 2 + 5 = 635
10) 8(v + 5) 2 - 6 = 354
Solve each equation by completing the square. 11) x 2 - 20 x + 86 = -6
12) r 2 + 8r - 38 = -6
13) r 2 - 2r - 23 = 3
14) n 2 - 6n - 34 = 7 Worksheet by Kuta Software LLC
-1-
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15) m 2 - 8m + 2 = 7
16) 2 x 2 + 16 x + 6 = 2
Solve each equation with the quadratic formula. 17) x 2 = 2 - 3 x
18) 9r 2 - 4r = 12
19) 11 x 2 + 8 x = -4
20) 10r 2 - 10r = -2
21) 12 x 2 + 12 x = 21
22) 4 x 2 = 100
23) a 2 - 126 = -11a
24) 2 x 2 - 6 = 10 x
25) 6n 2 = 2 - n
26) 7 x 2 = 14
Simplify. 27)
29)
31)
4
3
150r 10
96n
28)
3
54n 5
30)
128n 13
4
81b 9
32)
48k 2
Rewrite each expression as a radical 33) x
4 3
35) 17
34) 12
2 13
36) 2
5 7
1 2
Worksheet by Kuta Software LLC
-2-
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