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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