Section 10.6 Worksheet
Name: ______________________________
Identify the values of a, b, and c in the quadratic equation.
1.) 5x2  7x  1 = 0
2.) 2x2  6x  11 = 0
3.) x2  17x  23 = 0
Use the quadratic formula to solve the equation. Round your solutions to the nearest hundredth, if necessary.
4.) x2  6x  10 = 0
5.) 5x2  2x  3 = 0
6.) 2x2  3x  5 = 0
7.) 3x2  5x  2 = 0
8.) 6x2  2x  5 = 0
9.) 2x2  8x  3 = 0
10.) x2  4x  16 = 0
11.) 3x2  7x  2 = 0
12.) 5x2  2x  1 = 0
Solve the quadratic equation using any method. Round your solutions to the nearest hundredth, if necessary.
2
13.) 10x = 50
2
16.) x = 14x  49
2
15.) x + 3x  8 = 0
2
18.) 5x + x = 13
14.) x  16x = 64
17.) x + 6x = 14
2
2
Solve the equations below. Be sure to find all solutions. Round your solutions to two decimal places when necessary.
Note – some may have no solution!
19.) 4𝑔2 + 10 = 11
20.) 2𝑤 2 + 13 = 11
21.) 3𝑧 2 − 18 = −18
For the following equation identify the axis of symmetry and the vertex point. Then identify the x-intercepts (the
solutions to the equation) and the y – intercept (the value for y when x equals 0). Place all 5 points in the x-y table.
Then use these key points to graph your equation.
1
2
22.) 0 = 𝑥 2 + 𝑥 − 4
Graph Opens Up/Down:
Axis of Symmetry :
Vertex:
Is vertex minimum or maximum:
Y- intercept:
X- Intecepts (solutions):