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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Quadratic equations with rational expression

Grade: 10-a Lesson: S2-L3

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 equation: \$(2/x) + (1/(x + 3)) = (4/(x + 1)) \$.	A) \$ (- 3 + \sqrt33)/2, (- 3 - \sqrt33)/2\$ B) \$ (- 3 + \sqrt11)/2, (- 3 - \sqrt11)/2\$ C) \$ (3 + \sqrt33)/2, (3 - \sqrt33)/2\$ D) \$ (- 1 + \sqrt11)/2, (- 1 - \sqrt11)/2\$
2	Solve the equation: \$(x^2 + 5x + 6)/(x^2 - 9) = (x + 3)/(x - 3)\$.	A) 1, - 1 B) No solutions C) \$ 1/4 ,- 3/2\$ D) \$ 1/2 ,- 3/2\$
3	Solve the equation: \$(x^2 + 6x + 8) / (2x + 3) = 0\$.	A) 7,- 3 B) - 2,- 5 C) - 2,- 4 D) No solutions
4	Solve the equation: \$(3x^2 - 2x - 1) / (x + 2) = 0\$.	A) \$ - 1/3, 1/2\$ B) \$ - 3/2, 3\$ C) 1, -3 D) \$ - 1/3, 1\$
5	Solve the equation: \$(x^2 - 4) / (x + 2) = 0\$.	A) 4, - 4 B) 3, - 3 C) 6, - 6 D) 2, - 2
6	Solve the equation: \$(2x^2 - 5x + 3)/(x - 1) = (x^2 - 2x - 3)/(x + 2)\$.	A) \$ (3 + \sqrt21)/2, (3 - \sqrt21)/2\$ B) \$ 3 + \sqrt21, 3 - \sqrt21\$ C) \$ (- 3 + \sqrt21)/2, (- 3 - \sqrt21)/2\$ D) \$ - 3 + \sqrt21, - 3 - \sqrt21\$
7	Solve the equation: \$(3x - 2)/(x + 1) + (2x - 3)/(x - 2) = 1\$.	A) \$ - 1/3, 1/2\$ B) \$ 1/2, 3/2 \$ C) \$ - 1/3, 1\$ D) \$ 1/2 , -2\$
8	Solve the equation: \$(x + 1)/(x - 2) + (2x - 3)/(x + 3) = 0\$.	A) \$ (1 + i\sqrt11)/2, (1 - i\sqrt11)/2\$ B) \$ (4 + i\sqrt11)/2, (4 - i\sqrt11)/2\$ C) \$ (-1 + i\sqrt11)/2, (-1 - i\sqrt11)/2\$ D) \$ (-1 + \sqrt11)/2, (-1 - \sqrt11)/2\$
9	Solve the equation: \$(x^2 - 4)/(2x - 3) = 3\$.	A) 2,3 B) 1, 5 C) 4,2 D) 0,- 5
10	Solve the equation: \$ 3/(x + 2) + 2/(x - 1) = 5/2\$.	A) \$ (7 + \sqrt265)/10, (7 - \sqrt265)/10\$ B) \$ (5 + \sqrt53)/10, (5 - \sqrt53)/10\$ C) \$ (5 + \sqrt265)/10, (5 - \sqrt265)/10\$ D) \$ (-5 + \sqrt265)/10, (-5 - \sqrt265)/10\$

Problem Id

Problem

Options

Solve the equation: \$(2/x) + (1/(x + 3)) = (4/(x + 1)) \$.

A) \$ (- 3 + \sqrt33)/2, (- 3 - \sqrt33)/2\$

B) \$ (- 3 + \sqrt11)/2, (- 3 - \sqrt11)/2\$

C) \$ (3 + \sqrt33)/2, (3 - \sqrt33)/2\$

D) \$ (- 1 + \sqrt11)/2, (- 1 - \sqrt11)/2\$

Solve the equation: \$(x^2 + 5x + 6)/(x^2 - 9) = (x + 3)/(x - 3)\$.

A) 1, - 1

B) No solutions

C) \$ 1/4 ,- 3/2\$

D) \$ 1/2 ,- 3/2\$

Solve the equation: \$(x^2 + 6x + 8) / (2x + 3) = 0\$.

A) 7,- 3

B) - 2,- 5

C) - 2,- 4

D) No solutions

Solve the equation: \$(3x^2 - 2x - 1) / (x + 2) = 0\$.

A) \$ - 1/3, 1/2\$

B) \$ - 3/2, 3\$

C) 1, -3

D) \$ - 1/3, 1\$

Solve the equation: \$(x^2 - 4) / (x + 2) = 0\$.

A) 4, - 4

B) 3, - 3

C) 6, - 6

D) 2, - 2

Solve the equation: \$(2x^2 - 5x + 3)/(x - 1) = (x^2 - 2x - 3)/(x + 2)\$.

A) \$ (3 + \sqrt21)/2, (3 - \sqrt21)/2\$

B) \$ 3 + \sqrt21, 3 - \sqrt21\$

C) \$ (- 3 + \sqrt21)/2, (- 3 - \sqrt21)/2\$

D) \$ - 3 + \sqrt21, - 3 - \sqrt21\$

Solve the equation: \$(3x - 2)/(x + 1) + (2x - 3)/(x - 2) = 1\$.

A) \$ - 1/3, 1/2\$

B) \$ 1/2, 3/2 \$

C) \$ - 1/3, 1\$

D) \$ 1/2 , -2\$

Solve the equation: \$(x + 1)/(x - 2) + (2x - 3)/(x + 3) = 0\$.

A) \$ (1 + i\sqrt11)/2, (1 - i\sqrt11)/2\$

B) \$ (4 + i\sqrt11)/2, (4 - i\sqrt11)/2\$

C) \$ (-1 + i\sqrt11)/2, (-1 - i\sqrt11)/2\$

D) \$ (-1 + \sqrt11)/2, (-1 - \sqrt11)/2\$

Solve the equation: \$(x^2 - 4)/(2x - 3) = 3\$.

A) 2,3

B) 1, 5

C) 4,2

D) 0,- 5

Solve the equation: \$ 3/(x + 2) + 2/(x - 1) = 5/2\$.

A) \$ (7 + \sqrt265)/10, (7 - \sqrt265)/10\$

B) \$ (5 + \sqrt53)/10, (5 - \sqrt53)/10\$

C) \$ (5 + \sqrt265)/10, (5 - \sqrt265)/10\$

D) \$ (-5 + \sqrt265)/10, (-5 - \sqrt265)/10\$