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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	Solve the quadratic equation (2x - 1)(x + 3) = 0.	A) \$"x" = 1/2 \$ and x = 3 B) \$"x" = 1/2\$ and x = - 3 C) \$"x" = - 1/2\$ and x = - 3 D) x = 2 and x = - 3
2	Find the factors of the quadratic expression \$3"x"^2 + 3"x" − 18 \$.	A) (x + 3) and (x + 2) B) (x - 3) and (x + 2) C) (x + 3) and (x − 2) D) (x - 3) and (x - 2)
3	Factorize the quadratic expression: \$"x"^2 - 4 \$.	A) (x - 2) (x + 3) B) x(x + 2) C) (x - 2)(x - 1) D) (x + 2)(x - 2)
4	Solve the quadratic equation: \$ 4"x"^2 + 4\sqrt2 "x" + 2 = 0 \$.	A) \$ "x" = - \sqrt2 / 2\$ B) \$ "x" = - \sqrt1 / 2\$ C) \$ "x" = - \sqrt1 / 2\$ D) \$ "x" = \sqrt2 / 2\$
5	Solve the quadratic equation: \$ 3"x"^2 - 2"x" - 1 = 0 \$.	A) \$"x" = 1 and "x" = - 1/3\$ B) x = 1 and x = - 1 C) x = 1 and x = - 2 D) x = 2 and x = - 3
6	Solve the quadratic equation: \$"x"^2 + 5"x" + 6 = 0\$.	A) \$"x" = - 2\$ and \$"x" = - 3\$ B) \$"x" = 5\$ and \$"x" = - 2\$ C) \$"x" = - 5\$ and \$"x" = 2\$ D) \$"x" = 2\$ and \$ "x" = 3\$
7	Solve the quadratic equation: \$"x"^2 - 9 = 0\$.	A) x = 3 and x = - 3 B) x = - 6 and x = 6 C) x = - 4 and x = 4 D) x = 9 and x = - 9
8	Factorize the quadratic expression: \$4"x"^2 - 16"x" - 20\$.	A) (4x + 4)(4x - 5) B) 4(x − 5)(x + 1) C) (4x + 4)(4x + 5) D) (4x + 4)(x + 5)
9	Solve the quadratic equation \$2"x"^2 - 5"x" - 12 = 0\$.	A) x = - 4 and \$"x" = - 3/2\$ B) \$"x" = 3/2\$ and x = 4 C) x = 4 and \$"x" = - 3/2\$ D) \$"x" = - 3/2\$ and x = 2
10	Factorize the quadratic expression \$3"x"^2 + 7"x" - 6\$.	A) (3x + 2)(2x + 3) B) (3x + 2)(x - 3) C) (3x - 2)(2x - 3) D) (3x - 2)(x + 3)

Problem Id

Problem

Options

Solve the quadratic equation (2x - 1)(x + 3) = 0.

A) \$"x" = 1/2 \$ and x = 3

B) \$"x" = 1/2\$ and x = - 3

C) \$"x" = - 1/2\$ and x = - 3

D) x = 2 and x = - 3

Find the factors of the quadratic expression \$3"x"^2 + 3"x" − 18 \$.

A) (x + 3) and (x + 2)

B) (x - 3) and (x + 2)

C) (x + 3) and (x − 2)

D) (x - 3) and (x - 2)

Factorize the quadratic expression: \$"x"^2 - 4 \$.

A) (x - 2) (x + 3)

B) x(x + 2)

C) (x - 2)(x - 1)

D) (x + 2)(x - 2)

Solve the quadratic equation: \$ 4"x"^2 + 4\sqrt2 "x" + 2 = 0 \$.

A) \$ "x" = - \sqrt2 / 2\$

B) \$ "x" = - \sqrt1 / 2\$

C) \$ "x" = - \sqrt1 / 2\$

D) \$ "x" = \sqrt2 / 2\$

Solve the quadratic equation: \$ 3"x"^2 - 2"x" - 1 = 0 \$.

A) \$"x" = 1 and "x" = - 1/3\$

B) x = 1 and x = - 1

C) x = 1 and x = - 2

D) x = 2 and x = - 3

Solve the quadratic equation: \$"x"^2 + 5"x" + 6 = 0\$.

A) \$"x" = - 2\$ and \$"x" = - 3\$

B) \$"x" = 5\$ and \$"x" = - 2\$

C) \$"x" = - 5\$ and \$"x" = 2\$

D) \$"x" = 2\$ and \$ "x" = 3\$

Solve the quadratic equation: \$"x"^2 - 9 = 0\$.

A) x = 3 and x = - 3

B) x = - 6 and x = 6

C) x = - 4 and x = 4

D) x = 9 and x = - 9

Factorize the quadratic expression: \$4"x"^2 - 16"x" - 20\$.

A) (4x + 4)(4x - 5)

B) 4(x − 5)(x + 1)

C) (4x + 4)(4x + 5)

D) (4x + 4)(x + 5)

Solve the quadratic equation \$2"x"^2 - 5"x" - 12 = 0\$.

A) x = - 4 and \$"x" = - 3/2\$

B) \$"x" = 3/2\$ and x = 4

C) x = 4 and \$"x" = - 3/2\$

D) \$"x" = - 3/2\$ and x = 2

Factorize the quadratic expression \$3"x"^2 + 7"x" - 6\$.

A) (3x + 2)(2x + 3)

B) (3x + 2)(x - 3)

C) (3x - 2)(2x - 3)

D) (3x - 2)(x + 3)