Quiz At Home

Title: Quadratic equations with rational expression

Grade: 1400-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 following equation: \$(x^2 - 1)/(x - 1) \$ = x.

A) no solutions

B) x = 3

C) x = 2

D) x = 4

2

Determine the solutions to the equation: \$ (3x^2 + 7x - 6)/(2x - 1) \$ = 2.

A) \$ (-3 ± \sqrt6)/27 \$

B) \$ (-3 ± \sqrt57)/6 \$

C) \$ (-7 ± \sqrt33)/6 \$

D) \$ (-3 ± \sqrt6)/57 \$

3

Find the roots of the quadratic equation: \$ (x^2 - 25)/ (x^2 + 5x + 6) \$ = 0.

A) x = ± 4

B) x = 5

C) x = ± 5

D) x = 4

4

Find the values of x that satisfy the equation: \$(2x^2 - 5x + 3)/(x - 1) \$ = 8.

A) x = 1, 1 and x = 5

B) x = 4, 2 and x = 1

C) x = 7, 2 and x = 6

D) x = 5.5 and x = 1

5

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

A) x = 11 and \$ - 4/7\$

B) x = 2 and \$7/4\$

C) x = 1 and \$ 4/7\$

D) x = 0 and \$- 7/4\$

6

Solve the equation \$(x^2 + 18x + 72) / (2x^2 + 11x - 6)\$.

A) \$(x + 15) / (2x - 1)\$

B) \$(x + 14) / (3x - 1)\$

C) \$(x + 12) / (2x - 1)\$

D) \$(x - 12) / (2x -+3)\$

7

Solve the equation \$(x^2 - 3x - 28) / (49 - x^2)\$.

A) \$(x - 4) / (7 - x)\$

B) \$(x + 4) / (7 + x)\$

C) \$(2x + 5) / (7 + x)\$

D) \$(3x + 4) / (8 + x)\$

8

Solve the equations \$(6x^2 + 13x + 5) / (3x^2 + 26x + 35)\$.

A) \$(3x - 1) / (x - 7)\$

B) \$(2x + 1) / (x + 7)\$

C) \$(2x + 3) / (2x + 7)\$

D) \$(x + 1) / (x + 7)\$

9

Solve the equation \$(-x^2 + 10x - 9) / (-x^2 + 6x + 27)\$.

A) x = 2

B) x = 1

C) x = 3

D) x = 4

10

Solve the equation \$(x^3 + x^2 - 20x) / (x^4 - 12x^3 + 36x^2)\$.

A) x = - 5 and x = -5

B) x = - 5 and x = 5

C) x = - 5 and x = 4

D) x = - 5 and x = 6


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