Lesson Example Discussion Quiz: Class Homework |
Quiz At Home |
Title: Quadratic equations with rational expression |
Grade: 1300-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 for x: \$(3x^2 - 12)/(x^2 - 1) \$ = 2. |
A) \$x = ± sqrt10\$ B) \$x = ± sqrt1\$ C) \$x = ± sqrt8\$ D) \$x = ± sqrt20\$ |
2 |
Find the values of x that satisfy: \$((x^2 + x - 6)/(2x + 4)) = 1/(x + 2)\$. |
A) x = 2 B) x = − 4 and x = 2 C) x = 9 and x = 4 D) x = - 4 and x = - 2 |
3 |
Solve the equation: \$(x^2 - 2x - 3)/(x - 3) \$ = 0. |
A) x = 3 B) x = - 1 C) x = 1 D) x = - 3 |
4 |
Solve the equation: \$ 3x^2 + 2x - (1/2) \$ = x. |
A) \$x = ± sqrt8/3\$ B) \$x = ± sqrt3/5\$ C) \$x = (2 ± sqrt1)/3\$ D) \$ x = (1 ± sqrt(7))/6\$ |
5 |
Solve the equation: \$ 2x^2 + 5x + 3/(x+2) \$ = 0. |
A) \$x = 5/2\$ and \$x = - (3/2)\$ B) \$x = - 1\$ and \$x = - (7/2)\$ C) \$x = 9\$ and \$x = - (3/2)\$ D) \$x = - 1\$ and \$x = - (3/2)\$ |
6 |
Solve the equation: \$(2 / 3x^2) - (1 / 9x^4) + (2 / x + 4)\$. |
A) \$(26x^4 + 6x^5 + 24x^2 - x - 4) / (9x^4 (x + 4) )\$ B) \$(20x^4 + 6x^3 + 25x^2 - x - 4) / (9x^4 (x + 4) )\$ C) \$(18x^4 + 6x^3 + 24x^2 - x - 4) / (9x^4 (x + 4) )\$ D) \$(18x^4 - 6x^3 - 24x^2 - x + 4) / (9x^4 (x - 4) )\$ |
7 |
Solve the equation: \$(x / x^2 + 12x + 36) - (x - 8 / x + 6)\$. |
A) \$48 - 3x - x^2 / ((x - 6)^2)\$ B) \$48 + 3x - x^2 / ((x + 6)^2)\$ C) \$52 + 5x - x^2 / ((x + 6)^3)\$ D) \$53 + 7x - x^2 / ((x + 8)^2)\$ |
8 |
Solve the equation: \$(1 / x^2 - 13x + 42) + (x + 1 / x - 6) - (x^2 / x - 7)\$. |
A) \$(-x^3 + 7x^2 - 6x - 6) /((x - 6) (x - 7))\$ B) \$(-x^3 - 7x^2 - 6x - 6) / ((x - 6) (x - 7))\$ C) \$(-x^3 - 7x^2 - 9x - 7) / ((x - 9) (x - 7))\$ D) \$(x^2 - 7x^3 - 6x - 8) / ((x - 6) (x - 7))\$ |
9 |
Slove the equation: \$(x + 10) / (3x + 8)^3 + (x) / (3x + 8)^2\$. |
A) \$3x^3 - 9x - 11 / ((3x + 8)^3)\$ B) \$3x^2 + 9x + 10 / ((3x + 8)^3)\$ C) \$3x^2 + 5x + 12 / ((3x - 10)^3)\$ D) \$5x^2 + 9x + 10 / ((3x + 8)^3)\$ |
10 |
Solve the equation: \$(x^3 + 10x^2) / (x^2 + 6x - 40)\$. |
A) \$(2x^2) / (x - 6)\$ B) \$x^3 / (x - 5)\$ C) \$x^2 / (x - 4)\$ D) \$x^2 / (x + 5)\$ |
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