Download Algebra 1X - Quadratic Equations

Algebra 1X - Quadratic Equations
Name___________________________________
Unit 11 Review
Date________________ Period____
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Find the discriminant of each quadratic equation then state the number of real solutions.
1) 9n 2 + 6n + 1 = 0
2) −3 x 2 − 6 x + 9 = 0
Solve each equation by completing the square.
3) v 2 + 16v − 24 = 5
4) b 2 − 4b − 37 = −7
Solve each equation by factoring.
5) x 2 − 6 x + 5 = 0
6) x 2 − 2 x − 24 = 0
Solve each equation by taking square roots.
7) a 2 − 10 = −10
8) k 2 − 9 = 90
Solve each equation with the quadratic formula.
9) 11 x 2 + 11 x − 10 = 0
10) 4 p 2 − 6 p − 11 = 0
11) 4m 2 − m − 50 = 10
12) 8n 2 + 12n − 5 = 12
Solve each equation by taking square roots.
13) x 2 + 6 = 31
14) 64r 2 = 16
Solve each equation with the quadratic formula.
15) 5n 2 = 9n + 2
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16) 4b 2 − 9 = 5b
Worksheet by Kuta Software LLC
Algebra 1X - Quadratic Equations
Name___________________________________
Unit 11 Review
Date________________ Period____
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Find the discriminant of each quadratic equation then state the number of real solutions.
1) 9n 2 + 6n + 1 = 0
0; one real solution
2) −3 x 2 − 6 x + 9 = 0
144; two real solutions
Solve each equation by completing the square.
3) v 2 + 16v − 24 = 5
{−8 +
93, −8 −
4) b 2 − 4b − 37 = −7
93 }
{2 +
34 }
34, 2 −
Solve each equation by factoring.
5) x 2 − 6 x + 5 = 0
6) x 2 − 2 x − 24 = 0
{1, 5}
{−4, 6}
Solve each equation by taking square roots.
7) a 2 − 10 = −10
{0}
8) k 2 − 9 = 90
{3
11, −3 11 }
Solve each equation with the quadratic formula.
9) 11 x 2 + 11 x − 10 = 0
{
−11 + 561 −11 − 561
,
22
22
}
11) 4m 2 − m − 50 = 10
{
4, −
15
4
}
10) 4 p 2 − 6 p − 11 = 0
{
3+
4
53 3 −
,
4
}
12) 8n 2 + 12n − 5 = 12
{
−3 + 43 −3 − 43
,
4
4
Solve each equation by taking square roots.
13) x 2 + 6 = 31
{5, −5}
53
14) 64r 2 = 16
}
{ }
1 1
,−
2 2
Solve each equation with the quadratic formula.
15) 5n 2 = 9n + 2
{ }
2, −
1
5
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16) 4b 2 − 9 = 5b
{ }
9
, −1
4
Worksheet by Kuta Software LLC