SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Square roots and cube roots

Grade: 8-a Lesson: S1-L5

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	Simplify the expression: \$ \sqrt50 + \sqrt18 - \sqrt8 \$.	A) \$ 4\sqrt3\$ B) \$ 6\sqrt2\$ C) \$ 2\sqrt2\$ D) \$ 2\sqrt3\$
2	Solve for x: \$ root(3)("x" + 2) = 4\$.	A) 53 B) 58 C) 62 D) 65
3	Rationalize the following expression and simplify: \$ 5/(\sqrt3 + \sqrt2)\$.	A) \$ - 5\sqrt3 - 5\sqrt2\$ B) \$ 5\sqrt3 + 5\sqrt2\$ C) \$ 5\sqrt2 - 5\sqrt3\$ D) \$ 5\sqrt3 - 5\sqrt2\$
4	Solve for x: \$ \sqrt("x" + 7) - \sqrt("x" - 3) = 2\$.	A) \$ "x" = 21/4\$ B) \$ "x" = 15/4\$ C) \$ "x" = 6/17\$ D) \$ "x" = 35/3\$
5	Given that \$"a" = \sqrt12 + \sqrt75\$, simplify a.	A) \$ 7\sqrt3\$ B) \$ 3\sqrt3\$ C) \$ - 5\sqrt3\$ D) \$ 2\sqrt3\$
6	Solve for x: \$ "x"^(3/2) = 8\$.	A) 4 B) 6 C) 3 D) 16
7	Simplify the expression: \$ \sqrt(12)/(root(3)(343) + root(3)(64))\$.	A) \$ 2/\sqrt3\$ B) \$ 3/\sqrt2\$ C) \$ 6/\sqrt3\$ D) \$ \sqrt3/4\$
8	Solve for x in the equation: \$ root(3)("x" - 1) + 3 = 7\$.	A) 66 B) 65 C) 67 D) 69
9	Which of the following numbers are not perfect cubes?	A) 729 B) 3375 C) 567 D) 1331
10	Find the value of x if \$root(3)(7"x" - 81) = 6\$.	A) \$279/7\$ B) \$312/5\$ C) \$92/77\$ D) \$297/7\$

Problem Id

Problem

Options

Simplify the expression: \$ \sqrt50 + \sqrt18 - \sqrt8 \$.

A) \$ 4\sqrt3\$

B) \$ 6\sqrt2\$

C) \$ 2\sqrt2\$

D) \$ 2\sqrt3\$

Solve for x:
\$ root(3)("x" + 2) = 4\$.

A) 53

B) 58

C) 62

D) 65

Rationalize the following expression and simplify:
\$ 5/(\sqrt3 + \sqrt2)\$.

A) \$ - 5\sqrt3 - 5\sqrt2\$

B) \$ 5\sqrt3 + 5\sqrt2\$

C) \$ 5\sqrt2 - 5\sqrt3\$

D) \$ 5\sqrt3 - 5\sqrt2\$

Solve for x:
\$ \sqrt("x" + 7) - \sqrt("x" - 3) = 2\$.

A) \$ "x" = 21/4\$

B) \$ "x" = 15/4\$

C) \$ "x" = 6/17\$

D) \$ "x" = 35/3\$

Given that \$"a" = \sqrt12 + \sqrt75\$, simplify a.

A) \$ 7\sqrt3\$

B) \$ 3\sqrt3\$

C) \$ - 5\sqrt3\$

D) \$ 2\sqrt3\$

Solve for x:
\$ "x"^(3/2) = 8\$.

A) 4

B) 6

C) 3

D) 16

Simplify the expression:
\$ \sqrt(12)/(root(3)(343) + root(3)(64))\$.

A) \$ 2/\sqrt3\$

B) \$ 3/\sqrt2\$

C) \$ 6/\sqrt3\$

D) \$ \sqrt3/4\$

Solve for x in the equation: \$ root(3)("x" - 1) + 3 = 7\$.

A) 66

B) 65

C) 67

D) 69

Which of the following numbers are not perfect cubes?

A) 729

B) 3375

C) 567

D) 1331

Find the value of x if \$root(3)(7"x" - 81) = 6\$.

A) \$279/7\$

B) \$312/5\$

C) \$92/77\$

D) \$297/7\$