Lesson Example Discussion Quiz: Class Homework |
Quiz At Home |
Title: Quadratic-Equations and Factors |
Grade: 10-a Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts. |
Quiz: at Home
| Problem Id | Problem | Options |
|---|---|---|
1 |
Solve the quadratic equation: \$"x"^2 + 4"x" - 7 = 0\$ using the completing the square method. |
A) \$ "x" = 2 + \sqrt(11)\$ and \$"x" = -2 - \sqrt(11) \$ B) \$ "x" = -2 + \sqrt(11)\$ and \$"x" = -2 - \sqrt(11) \$ C) \$ "x" = -2 + \sqrt(11)\$ and \$"x" = 2 - \sqrt(11) \$ D) \$ "x" = 2 + \sqrt(11)\$ and \$"x" = 2 - \sqrt(11) \$ |
2 |
Factorize the quadratic expression: \$ 9"x"^2 - 16\$. |
A) \$ ("x" - 1)("x" + 2)("x"^2 + 4)\$ B) \$ ("x" - 1)("x" + 1)("x"^2 + 4)\$ C) \$ (3x - 4)(3x + 4)\$ D) \$ ("3x" - 2)("3x" + 2)\$ |
3 |
Solve the quadratic equation: \$2"x"^2 + 7"x" - 3 = 0 \$ using the quadratic formula. |
A) \$"x" = (-7 + \sqrt(73)) / 4\$ and \$ "x" = (7 - \sqrt(73)) / 4\$ B) \$"x" = (7 + \sqrt(73)) / 4\$ and \$ "x" = (-7 - \sqrt(73)) / 4\$ C) \$"x" = (7 + \sqrt(73)) / 4\$ and \$"x" = (7 - \sqrt(73)) / 4\$ D) \$"x" = (-7 + \sqrt(73)) / 4\$ and \$"x" = (-7 - \sqrt(73)) / 4\$ |
4 |
Factorize the quadratic expression: \$6"x"^2 - 19"x" + 10 \$. |
A) (2x - 5)(3x - 2) B) (2x - 5)(3x + 2) C) (2x + 5)(3x - 2) D) (2x + 5)(3x + 2) |
5 |
Solve the quadratic equation: \$4"x"^2 - 5"x" + 1 = 0\$ using factoring. |
A) \$"x" = 1/4\$ and x = 1 B) x = - 4 and x = 0 C) \$"x" = 1/4\$ and \$"x" = - 1/4\$ D) \$"x" = - 1/4\$ and x = 1 |
6 |
Solve the quadratic equation: \$4x^2 + 8x + 14 = 0\$. |
A) \$x_1 = (- 2 + i \sqrt 5) / 2\$ and \$x_2 = (- 2 - i \sqrt 5) / 2 \$ B) \$x_1 = (- 2 - 3i \sqrt 5) / 2\$ and \$x_2 = (- 2 + 3i \sqrt 5) / 2 \$ C) \$x_1 = (2 + i \sqrt 5) / 4\$ and \$x_2 = (2 - i \sqrt 5) / 4 \$ D) \$x_1 = (- 2 + \sqrt 5) / 2\$ and \$x_2 = (- 2 - \sqrt 5) / 2 \$ |
7 |
Solve the quadratic equation \$25"x"^2 + 35"x" − 78 = 0\$ by completing the square. |
A) \$"x" = 6/5\$ and \$"x" = - 13/5\$ B) \$"x" = 5/6\$ and \$"x" = - 5/13\$ C) \$"x" = - 5/6\$ and \$"x" = - 5/13\$ D) \$"x" = - 6/5\$ and \$"x" = 13/5\$ |
8 |
Solve the quadratic equation \$6"x"^2 + 15"x" + 9 = 0\$ using factors. |
A) x = 1 and \$"x" = 3/2\$ B) x = - 1 and \$"x" = - 3/2\$ C) x = 1 and \$"x" = 2/3\$ D) x = - 1 and \$"x" = - 2/3\$ |
9 |
Factorize the quadratic expression: \$6"x"^2 - 21"x" + 18\$. |
A) (x + 2)(6x + 9) B) (x - 2)(6x - 8) C) (x - 2)(6x - 9) D) (x - 2)(6x + 8) |
10 |
Solve the quadratic equation (5x + 3)(3x - 6) = 0. |
A) \$"x" = 3/5\$ and x = - 2 B) \$"x" = -5/3\$ and x = - 2 C) \$"x" = 5/3\$ and x = 2 D) \$"x" = -3/5\$ and x = 2 |
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