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# Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the following:

$40x^2 - 20x + 48x - 24$
1. Is an expression that can be simplified to 3 terms. $40x^2 + 28x - 24$
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 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
What is the simplest for of (x+3)(x+5)?
1. $x^2 + 8x + 15$
2. $x^2 + 15$
3. $2x + 8$
4. $2x + 15$
Grade 9 Polynomials and Rational Expressions
A polynomial that has two terms
1. monomial
2. trinomial
3. binomial
Grade 9 Polynomials and Rational Expressions
A polynomial that has three terms
1. monomial
2. binomial
3. exponents
4. trinomial
Grade 9 Polynomials and Rational Expressions
$(12c + 8d) - (7c - 5d)$
1. $19c - 3d$
2. $19c + 13d$
3. $5c - 3d$
4. $5c + 13d$
Grade 9 Polynomials and Rational Expressions
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x^2-4x+3)/(x^2+4x-5)+(x^2+4x+3)/(x^2+6x+5)$
1. $(2x)/(x+5), \ x!= -1, 1$
2. $(2x^2+6)/(2x^2+10x), \ x!= 0, -5$
3. $(10(4x^2+3x))/(24x^2-10x-25)$
4. $(6)/(x^2+6x+5) , \ x!= 1$
Grade 9 Polynomials and Rational Expressions
a polynomial that has one term
1. exponent
2. binomial
3. monomial
4. trinomial
Grade 11 Polynomials and Rational Expressions
Step 1 : $7p^3r- 21p^2r - 5t^3s -10s^3t^3$

Step 2: $(7p^3r- 21p^2r) + ( - 5t^3s -10s^3t^3)$

Which of the following is the GCF for one of the pairs of terms in step 2?
1. There are no common factors.
2. $p^3r$ is a factor of $(7p^3r- 21p^2r)$.
3. $-5s$ is a factor of $( - 5t^3s -10s^3t^3)$.
4. $7p^2r$ is a factor of $(7p^3r- 21p^2r)$.
Grade 9 Polynomials and Rational Expressions
Simplify:
$2x^2-4xy+8x^2+16xy-8$
1. $8x^2-12xy+8$
2. $11xy-8$
3. $10x^2+12xy-8$
4. $4x^2+20xy+8$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$-a^2$ is a
(select all that apply)
1. Monomial
2. Binomial
3. Trinomial
4. Polynomial
5. None of the above
Grade 11 Polynomials and Rational Expressions
Which two properties are used to simplify the expression below?

(12p² + 15p + 3) - (2p² + 17p - 2)
1. Associative and Distributive Property
2. Commutative and Distributive Property
3. Substitution and Distributive Property
4. Substitution and Commutative Property
Grade 9 Polynomials and Rational Expressions
Multiply:
(4x-1)(3x+2)
1. $12x^2+3x-2$
2. $12x^2-5x+1$
3. $12x^2+11x+2$
4. $12x^2+5x-2$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$x^2+2x$ is a
(select all that apply)
1. Monomial
2. Binomial
3. Trinomial
4. Polynomial
5. None of the above
Grade 10 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
What is the greatest common factor of the expression below?
$24x^5+36x^3-18x^2$
1. $2x^5$
2. $18x^2$
3. $3x$
4. $6x^2$
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