Quiz At Home

Title: Equivalent expressions

Grade: 10-a Lesson: S1-L5

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

Simplify the expression \$(4a^3b^2)^2 / (2ab)^4\$.

A) \$ ab^2 \$

B) \$ a^2 \$

C) \$ c^2 \$

D) \$ b^2 \$

2

Simplify the expression \$(2x - 3)^2 - (x + 1)(3x - 2)\$.

A)\$ x^2 - 11x - 7 \$

B) \$ x^2 + 9x + 11 \$

C) \$ x^2 - 13x + 11 \$

D) \$ x^2 - 9x + 11 \$

3

Simplify the expression \$(x^2 + 3xy + 2y^2) - (4x^2 - 6xy + y^2)\$.

A) \$ -2x^2 + 9xy + y^2 \$

B) \$ -3x^2 + 6xy + y^2 \$

C) \$ x^2 + 9xy + 5y^2 \$

D) \$ -3x^2 + 9xy + y^2 \$

4

Simplify the expression \$2(3x - 4y) + 5(2y - x) - 3(4x - 3y)\$.

A) -11x + 11y

B) -8x + 8y

C) 4x + 14y

D) 11x - 9y

5

Simplify the expression and find an equivalent expression: \$3x^2 -4x -7 + 2x^2 - 3x + 5 \$

A) \$5x^2-7x -2\$

B) \$5x^2+7x -2\$

C) \$5x^2-7x + 2\$

D) \$5x^2 + 7x + 2\$

6

Simplify the expression \$2(x + 3) - 3(x - 1) + 4\$.

A) -x + 13

B) -x - 11

C) -x + 12

D) x + 13

7

Simplify the expression: \$((a^2 - 4ab + 4b^2)/(a - 2b)) times ((a + 2b) / (a^2 + 4ab + 4b^2))\$.

A) \$(a - 2b) / (a + 2b)\$

B) \$(a + 2b) / (-a - 2b)\$

C) \$(a + 2b) / (a - 2b)\$

D) \$(-a - 2b) / (a + 2b)\$

8

Simplify the expression: \$sqrt(8x^3) - sqrt(32x)\$.

A)\$sqrt(-2x+4)(2x )\$

B) \$sqrt(2x)(2x - 4)\$

C) \$sqrt(2x-4)(2x )\$

D) \$sqrt(2x)(2x + 4)\$

9

Simplify the expression: \$3^(2x + 1) times 9^(3 - x) / 27^(x - 1)\$.

A)\$3^(10 + 2x)\$

B) \$3^(3 - 10x)\$

C) \$3^(10 - 3x)\$

D) \$3^(4 + 10x)\$

10

Simplify the expression: \$(2x^2 - 3x + 1)(x^3 + 4x^2 - 2x + 3) - 2x(x^2 - 1)(x - 2)\$.

A) \$2x^5 - 3x^4 - 11x^3-18x^2+15x+3\$

B) \$2x^5 + 3x^4 + 11x^3+18x^2-15x+3\$

C) \$2x^5 - 3x^4 - 11x^3+18x^2-15x+3\$

D) \$2x^5 + 3x^4 - 11x^3+18x^2-15x+3\$


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