SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Adding and subtracting polynomials

Grade: 8-b Lesson: S1-L1

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	Add the polynomials \$ (5x^2 + 3x − 7) + (x^2 + 2) \$.	A) \$ 2x^2 + 3x − 5 \$ B) \$ 6x^2 + 3x − 5 \$ C) \$ 4x^2 + 3x − 5 \$ D) \$ x^2 + x − 1 \$
2	Find the difference \$ (6p^3 − 2p − 5) − (−p^3 + 3p^2 + 4) \$.	A) \$ 2p^3 − p^2 − 2p − 9 \$ B) \$ 7p^3 − 3p^2 − p − 8 \$ C) \$ 7p^3 − 3p^2 − 2p − 9 \$ D) \$ 4p^3 − 3p^2 − 2p − 9 \$
3	Simplify: \$ (d^2 + 4d + 1) + (−d^2 − 1) \$.	A) \$ -2d \$ B) \$ -4d \$ C) \$ 2d \$ D) \$ 4d \$
4	Simplify: \$ (2u^3 − 5) − (−8u^2 − 5u) \$.	A) \$ 2u^3 + 8u^2 + 5u − 5 \$ B) \$ u^3 + 8u^2 + 5u − 5 \$ C) \$ 2u^3 + 8u^2 + 2u − 5 \$ D) \$ 5u^3 + 18u^2 + 4u − 2 \$
5	Subtract the polynomials \$ (3j^3 − 2j^2 ) − (5j^3 − j^2 − j) \$.	A) \$ -2j^3 − j^2 + j \$ B) \$ -j^3 − j^2 + j \$ C) \$ 2j^3 − j^2 + j \$ D) \$ -j^3 − j^2 + 3j \$
6	Subtract the polynomial \$(6x^3 + 4x^2 - 2x + 3)\$ from \$(2x^3 + 5x^2 - x + 7)\$.	A) \$4x^3 - x^2 - x - 4\$ B) \$x^3 + x^2 + x - 4 \$ C) \$4x^3 + x^2 - x + 4\$ D) \$x^3 + x^2 - x \$
7	Add the polynomials \$2m^3 + 3m^2 - m + 4\$ and \$m^3 - 2m^2+5m - 3\$, then subtract the polynomial \$m^3 + m^2 - 2m +1\$.	A) \$2m^3 + 6m\$ B) \$2m^3 - 6m + 2\$ C) \$2m^3 - 6m\$ D) \$2m^3 + 2m^2 + 6m + 2\$
8	Add the polynomials \$(2e^2 f + 3f^2e − f^2)\$ and \$(e^2 f−5e f^2 + 2f^2)\$ and \$- 4f^2 + 6e^2 f - 8f^2 e\$.	A) \$10ef^2 - 3f^2 + 9e^2f\$ B) \$-10ef^2 - 3f^2 + 9e^2f\$ C) \$-10ef^2 - 3f^2 - 9e^2f\$ D) \$-10ef^2 + 3f^2 + 9e^2f\$
9	Subtract \$(7a^2 b - 3a(b^2) + 2b^3)\$ from \$(9(a^2)b - 5a(b^2) + 4b^3)\$.	A) \$- 2(a^2)b - 2a(b^2) - 2b^3\$ B) \$2(a^2)b + 2a(b^2) - 2b^3\$ C) \$- 2(a^2)b + 2a(b^2) - 2b^3\$ D) \$- 2(a^2)b + 2a(b^2) + 2b^3\$
10	Add the polynomials \$(3n^2 + 4(2n) + 5)\$ and \$(3(4n^2) − 3n +1 )\$.	A) \$9n^2 + 11n + 6\$ B) \$15n^2 + 5n - 6\$ C) \$9n^2 + 11n + 6\$ D) \$15n^2 + 5n + 6\$

Problem Id

Problem

Options

Add the polynomials \$ (5x^2 + 3x − 7) + (x^2 + 2) \$.

A) \$ 2x^2 + 3x − 5 \$

B) \$ 6x^2 + 3x − 5 \$

C) \$ 4x^2 + 3x − 5 \$

D) \$ x^2 + x − 1 \$

Find the difference \$ (6p^3 − 2p − 5) − (−p^3 + 3p^2 + 4) \$.

A) \$ 2p^3 − p^2 − 2p − 9 \$

B) \$ 7p^3 − 3p^2 − p − 8 \$

C) \$ 7p^3 − 3p^2 − 2p − 9 \$

D) \$ 4p^3 − 3p^2 − 2p − 9 \$

Simplify: \$ (d^2 + 4d + 1) + (−d^2 − 1) \$.

A) \$ -2d \$

B) \$ -4d \$

C) \$ 2d \$

D) \$ 4d \$

Simplify: \$ (2u^3 − 5) − (−8u^2 − 5u) \$.

A) \$ 2u^3 + 8u^2 + 5u − 5 \$

B) \$ u^3 + 8u^2 + 5u − 5 \$

C) \$ 2u^3 + 8u^2 + 2u − 5 \$

D) \$ 5u^3 + 18u^2 + 4u − 2 \$

Subtract the polynomials \$ (3j^3 − 2j^2 ) − (5j^3 − j^2 − j) \$.

A) \$ -2j^3 − j^2 + j \$

B) \$ -j^3 − j^2 + j \$

C) \$ 2j^3 − j^2 + j \$

D) \$ -j^3 − j^2 + 3j \$

Subtract the polynomial \$(6x^3 + 4x^2 - 2x + 3)\$ from \$(2x^3 + 5x^2 - x + 7)\$.

A) \$4x^3 - x^2 - x - 4\$

B) \$x^3 + x^2 + x - 4 \$

C) \$4x^3 + x^2 - x + 4\$

D) \$x^3 + x^2 - x \$

Add the polynomials \$2m^3 + 3m^2 - m + 4\$ and \$m^3 - 2m^2+5m - 3\$, then subtract the polynomial \$m^3 + m^2 - 2m +1\$.

A) \$2m^3 + 6m\$

B) \$2m^3 - 6m + 2\$

C) \$2m^3 - 6m\$

D) \$2m^3 + 2m^2 + 6m + 2\$

Add the polynomials \$(2e^2 f + 3f^2e − f^2)\$ and \$(e^2 f−5e f^2 + 2f^2)\$ and \$- 4f^2 + 6e^2 f - 8f^2 e\$.

A) \$10ef^2 - 3f^2 + 9e^2f\$

B) \$-10ef^2 - 3f^2 + 9e^2f\$

C) \$-10ef^2 - 3f^2 - 9e^2f\$

D) \$-10ef^2 + 3f^2 + 9e^2f\$

Subtract \$(7a^2 b - 3a(b^2) + 2b^3)\$ from \$(9(a^2)b - 5a(b^2) + 4b^3)\$.

A) \$- 2(a^2)b - 2a(b^2) - 2b^3\$

B) \$2(a^2)b + 2a(b^2) - 2b^3\$

C) \$- 2(a^2)b + 2a(b^2) - 2b^3\$

D) \$- 2(a^2)b + 2a(b^2) + 2b^3\$

Add the polynomials \$(3n^2 + 4(2n) + 5)\$ and \$(3(4n^2) − 3n +1 )\$.

A) \$9n^2 + 11n + 6\$

B) \$15n^2 + 5n - 6\$

C) \$9n^2 + 11n + 6\$

D) \$15n^2 + 5n + 6\$