Lesson Example Discussion Quiz: Class Homework |
Quiz In Class |
Title: Equation with two radicals |
Grade: 8-b Lesson: S2-L4 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five 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 following radical equation \$sqrt(x + 2) + sqrt (x - 1) = 3\$. |
A) x = 3 B) x = 4 C) x = 2 D) x = 5 |
2 |
Solve the equation \$ sqrt(4x - 7) = 2 + sqrt(x - 1) \$. |
A) \$x = 9/(58)\$ B) \$x = 12/ (58)\$ C) \$x = (58) / 12\$ D)\$ x = (58)/9\$ |
3 |
Simplify the following two radicals \$root(3)(9f - 4) = root(3)(5f + 11)\$. |
A) \$f = (13)/4\$ B) \$ f = (15)/4\$ C) \$f = 4/(13)\$ D) \$f = 4 / (15)\$ |
4 |
Determine the value of d: \$root(4) (9d + 1) = root(4)(5d + 11)\$. |
A) \$ d = 5/2 \$ B) \$d = 5/4\$ C) \$d = 2/5\$ D) \$d = 4/5\$ |
5 |
Solve for the variable in the following equation \$ 4 root(3)(y) = 7 + 3 root(3)(y) \$. |
A) y = 343 B) y = 433 C) y = 334 D) y = 403 |
6 |
Solve the following radical equation \$\sqrt(x + 5) - \sqrt(2x - 1) = 2\$. |
A)\$x = 3(8 + 2\sqrt(18))\$ B)\$x = 2(9 - 2\sqrt(19))\$ C)\$x = 3(8 - 2\sqrt(18))\$ D)\$x = 3(8 + 2\sqrt(19))\$ |
7 |
Solve the equation \$\sqrt(3z + 7) = \sqrt(z + 1) + 4\$. |
A) \$ z = 14 + 2\sqrt(10)\$ B) \$ z = 13 + 4\sqrt(10) \$ C) \$ z = 14 - 2\sqrt(10)\$ D) \$ z = 15 + 4\sqrt(10)\$ |
8 |
Simplify the following two radicals \$2\sqrt(v - 1) + \sqrt(4v - 3) = 7\$. |
A) \$ v = (19)/(149)\$ B) \$ v = (149)/(499)\$ C) \$ v = (193)/(49)\$ D) \$ v = (49)/(193)\$ |
9 |
Determine the value of x: \$\sqrt(x^2 + 2x) = \sqrt9\$. |
A) \$ x = - 1 + \sqrt(15), x = - 1 - \sqrt(5)\$ B) \$ x = 1 - \sqrt(15), x = - 1 + \sqrt(5)\$ C) \$ x = - 1 + \sqrt(10), x = - 1 - \sqrt(10)\$ D) \$ x = 1 - \sqrt(15), x = 1 + \sqrt(10)\$ |
10 |
Solve for the variable in the following equation \$5 - \sqrt(2f + 1) = \sqrt(f - 4)\$. |
A)\$ f = 7( 8 - \sqrt(41))\$ B) \$ f = 10( 7 + \sqrt(64)) \$ C) \$ f = 11( 9 - \sqrt(41))\$ D) \$ f = 10( 7 - \sqrt(41)) \$ |
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