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# Polynomials and Rational Expressions Questions - All Grades

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify. Answer must only have positive exponents.
$(x^-3 * y^-4 * y^2 *x^1) / (x^5 * y^2)$
1. $(x^-2 * y^-2)/(x^5 * y^2)$
2. $(y^2 * x)/(x^8 * y^6)$
3. $1 / (x^8 * y^6)$
4. $1 / (x^7 * y^4)$
Grade 7 Polynomials and Rational Expressions
$(12c + 8d) - (7c - 5d)$
1. $19c - 3d$
2. $19c + 13d$
3. $5c - 3d$
4. $5c + 13d$
Grade 11 Polynomials and Rational Expressions
$4k^2 - 100$
1. $(2k + 10)(2k + 10)$
2. $(2k -10)(2k - 10)$
3. $(2k + 10)(2k - 10)$
4. $(4k + 10)(k -10)$
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: 4g–g³ +3g² –2
1. –2+4g+3g²–g³
2. 3g³ –g² +4g–2
3. g³–3g²+4g–2
4. –g³ +3g² +4g–2
Grade 11 Polynomials and Rational Expressions
$k^2 - 196$
1. $(k + 14)(k - 14)$
2. $(k - 28)(k + 2)$
3. $(k + 14)(k + 14)$
4. $(k - 14)(k - 14)$
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the:

Given: 40x² - 20x + 48x - 24
1. Is an expression that can be simplified to 3 terms. 40x² + 28x - 24
2. Is an equation can be solved for the value of x. x =6 ⁄17
3. Is an expression that can be simplified to 2 terms. 68x -24
4. Is an expression that can be simplified to a term. 44x
Grade 11 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Step 1 : 7p³r- 21p²r - 5t³s -10s³t³

Step 2: (7p³r- 21p²r)+( - 5t³s -10s³t³)

Which of the following is a possible factor for the given?
1. There is no common factor.
2. p³r is a factor of (7p³r- 21p²r).
3. -5s is a factor of ( - 5t³s -10s³t³).
4. 7p²r is a factor of (7p³r- 21p²r).
Grade 11 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
$n^2 + 3n - 28$
1. $(n + 7)(n + 4)$
2. $(n - 4)(n - 7)$
3. $(n + 4)(n - 7)$
4. $(n - 4)(n + 7)$
Grade 11 Polynomials and Rational Expressions
$100k^2 - 121$
1. $(10k +11)(10k -11)$
2. $(10k + 11)(10k + 11)$
3. $(10k - 11)(10 - 11)$
4. $(20k + 121)(5k - 1)$
Grade 7 Polynomials and Rational Expressions
$(9m^2 + 3m) + (11m^2 - m)$
1. $20m^2 -2m$
2. $20m^4 - 3$
3. $20m^2 +2m$
4. $20m^4 +m^2$
Grade 8 Polynomials and Rational Expressions
Combine Like Terms
$4x^2 + 5z + 18x^2$
1. $14x^2 + 5z$
2. $22x^2 + 5z$
3. $22x^2 - 5z$
4. $-18x^2 - 5z$
Grade 11 Polynomials and Rational Expressions
Answer the following 2 questions based upon the given:

Given: (5x + 6)(8x - 4).

The given is an example of:
1. monomial , binomial addition and subtraction
2. binomial , binomial multiplication
3. binomial, binomial addition and subtraction
4. monomial , trinomial multiplication
Grade 11 Polynomials and Rational Expressions
$25x^2 + 110x + 121$
1. $(11x - 5)^2$
2. $(5x - 11)^2$
3. $(5x + 11)^2$
4. $(4x - 11)^2$
Grade 7 Polynomials and Rational Expressions
$(13x^2y - 7x^2) + (5x^2y - 3x^2)$
1. $18x^2y - 10x^2$
2. $18x^2y + 4x^2$
3. $8x^2y + 4x^2$
4. $18x^4y^2 -10x^4$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(3x^2y^3+xy^2)(x^4y-2x^2y^2)$
1. $3x^4y^2-6x^4y^6+x^5y^2-2x^3y^4$
2. $3x^6y^4-6x^4y^5+x^5y^3-2x^3y^4$
3. $3x^6y^4-6x^4y^5+x^4y^4-2x^2y^2$
4. $3x^4y^6-6x^5y^4+x^3y^5-2x^4y^3$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(2x+3)(5x-8)$
1. $10x^2+x-24$
2. $10x^2-31x-24$
3. $10x^2-x-24$
4. $7x^2+10x-5$
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