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Tenth Grade (Grade 10) Polynomials and Rational Expressions Questions

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Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$x(8x - 5y) - x(x - 6y) - 3x(3 + 3y)$

$9x^2 +15xy -14x$
$7x^2 - 8xy - 9x$
$9x^2 +xy - 18x$
$7x^2 + 8xy - 9x$

Grade 10 Polynomials and Rational Expressions

Factor:

$25x^2y^4 + 40x^3 y^2$

$5x^2y^2(5y^2 + 8x)$
$5x^3y^4(5xy + 8y)$
$8x^2y^2(3x^2y - 3y^2)$
$4x^2y^2(6y^2 + 10x^3)$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Divide. Simplify if possible.

$(x^2+10x+9)/(x+4) -: (x^2-x-20)/(x+9)$

$(x+1)(x-5), \ \ x!=-9,-4,5$
$(x+1)/(x-5), \ \ x!= -9,-4$
$(x-5)/(x+1), \ \ x!=-9,-4,5$
$((x+1)(x+9)^2)/((x-5)(x+4)^2), \ \ x!=-9$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Multiply. Simplify if possible.

$(3x+6)/(x^2+2x-3) * (x^2 + 3x)/(x^2+x-2)$

$(3x)/((x-1)^2), \ \ x!=-3,-2$
$3x, \ \ x!=-3,-2,1$
$3/(x-1), \ \ x!=-3,-2$
$3/((x+3)(x+2)), \ \ x!=1$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Subtract. Simplify if possible.

$(x^2+6x)/(x^2-7x)-(3x+6)/(x^2-5x-14)$

$4/((x-7)(x+2)), \ \ x!= 0$
$(2(2x+3))/(x(x-7)), \ \ x!= -2$
$(x+9)/(x-7), \ \ x!= -2, 0$
$(x+3)/(x-7), \ \ x!= -2, 0$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Multiply. Simplify if possible.

$(x^2+10x+24)/(x^2+13x+36)*(x^2+9x)/(x^2+4x-12)$

$-1/2, \ \ x!= -9, -6, -4, 2$
$(x(x+6))/((x+9)(x-2)), \ \ x!= -6, -4$
$x/(x-2), \ \ x!= -9, -6, -4$
$1/(x(x-2)(x+9)^2), \ \ x!= -6, -4$

Grade 10 Polynomials and Rational Expressions

$8n^2$

monomial
binomial
trinomial
none of the above

Grade 10 Polynomials and Rational Expressions

$8-b$

cubic
linear
quadratic
none of the above

Grade 10 Polynomials and Rational Expressions

Factor the expression.

$13x^3y^2 - 4x^2y^3$

$x^3y^2(13x - 4y)$
$x^2y^2(13x - 4y)$
$x^2y^3(13x - 4y)$
$9x^3y^2$

Grade 10 Polynomials and Rational Expressions

$(7x^4y^(-3))(3x^(-2)y^7)=$

$21x^6y^10$
$21x^2y^4$
$21x^2y^10$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Find the difference:

$(5x^4-2x^3+9)-(-2x^4+8x^2-x+2)$

$7x^4-2x^3-8x^2+x+7$
$3x^4-2x^3+8x^2-x+11$
$7x^4-10x^3-x++7$
$7x^4-2x^3-8x^2-x+7$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Add. Simplify if possible.

$(3x+4)/(x^2 + 5x + 6) + 2/(x+2)$

$5/(x+3), \ \ x!= -2$
$(x-2)/((x+3)(x+2))$
$(5x+8)/((x+3)(x+2))$
$3/(x+3), \ \ x!=-2$

Grade 10 Polynomials and Rational Expressions

Which expression is

$ab+3c-3b-ac$ equal to?

$(a+3)(c-b)$
$(a+3)(b-c)$
$(a-3)(b+c)$
$(a-3)(b-c)$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.C.4

Which one of the following is NOT true?

$(a+b)^2=a^2+2ab+b^2$
$a^2+4a+4=(a+2)^2$
$a^2-2ab+b^2=(a-b)^2$
$a^2-6ab-9b^2=(a-3b)^2$
$(3a+2b)^2=9a^2+12ab+4b^2$

Grade 10 Polynomials and Rational Expressions

$j^4 – 3j^9 – 6j^3$

monomial
binomial
trinomial
none of the above

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Add. Simplify if possible.

$(x+7)/(x-2) + 6$

$-(5x-19)/(x-2)$
$(x+13)/(x-2)$
$-13/2, \ \ x!= 2$
$(7x-5)/(x-2)$

Grade 10 Polynomials and Rational Expressions

Simplify.

$(3x^3-2x^2 + 9x-10) - (-4x^3 +5x^2 -12)$

$7x^3 - 7x^2 + 9x +2$
$-1x^3 + 3x^2 + 9x -22$
$-7x^3 +7x^2 + 9x -2$
$7x^3 +7x^2 +9x -22$

Grade 10 Polynomials and Rational Expressions

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

The given is best described as

the multiplication of four monomials.
the multiplication of two binomials.
the multiplication of two monomials.
a monomial.

Grade 10 Polynomials and Rational Expressions

Which of the following values of x cannot be a value for

$1/(x-1)$ ?

-1
0
2/3
1

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Multiply and simplify:

$(x-1)(x^2-x+1)$

$x^3+1$
$x^3-1$
$-x^3+2x^2-2x+1$
$x^3-2x^2+2x-1$
None of these are correct

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Tenth Grade (Grade 10) Polynomials and Rational Expressions Questions