Question 1

Multiply.
-$(-7 x-6)^{2}$

Accepted Answer

A)  $-7 x^{2}+84 x+36$ 
B)  $49 x^{2}+84 x+36$ 
C)  $49 x^{2}+36$ 
D)  $-7 x^{2}+36$ 
A)  $-7 x^{2}+84 x+36$ 
B)  $49 x^{2}+84 x+36$ 
C)  $49 x^{2}+36$ 
D)  $-7 x^{2}+36$

Question 2

Evaluate.
-$x^{0} ; x \neq 0$

Accepted Answer

A)  0 
B)  -1 
C)  $x$ 
D)  1 
A)  0 
B)  -1 
C)  $x$ 
D)  1

Question 3

Multiply.
-$(9+x)(3 x-9)$

Accepted Answer

A)  $3 x^{2}+18 x-81$ 
B)  $3 x^{2}-81 x+18$ 
C)  $x^{2}+18 x+18$ 
D)  $3 x^{2}+17 x-81$ 
A)  $3 x^{2}+18 x-81$ 
B)  $3 x^{2}-81 x+18$ 
C)  $x^{2}+18 x+18$ 
D)  $3 x^{2}+17 x-81$

Question 4

Add.
-$\left(x^{3} y^{2}+4 x^{2} y^{3}+4 x y-1\right)+\left(x^{2} y^{3}+6 x^{3} y^{2}+4 x y+5\right)$

Accepted Answer

A)  $7 x^{3} y^{2}+5 x^{2} y^{3}+8 x y+4$ 
B)  $5 x^{3} y^{2}+5 x^{2} y^{3}+8 x y+4$ 
C)  $2 x^{3} y^{2}+10 x^{2} y^{3}+8 x y+4$ 
D)  $7 x^{3} y^{2}+5 x^{2} y^{3}+4 x y+4$ 
A)  $7 x^{3} y^{2}+5 x^{2} y^{3}+8 x y+4$ 
B)  $5 x^{3} y^{2}+5 x^{2} y^{3}+8 x y+4$ 
C)  $2 x^{3} y^{2}+10 x^{2} y^{3}+8 x y+4$ 
D)  $7 x^{3} y^{2}+5 x^{2} y^{3}+4 x y+4$

Question 5

Identify the degree of each term and the degree of the polynomial.
-$6 x^{5}-9 x^{2}+6-2 x^{3}$

Accepted Answer

A)  5, 3, 2, 0; 5 
B)  5, -2, 1, -3; 5 
C)  5, 2, 0, 3; 5 
D)  6, -9, 6, -2; 6 
A)  5, 3, 2, 0; 5 
B)  5, -2, 1, -3; 5 
C)  5, 2, 0, 3; 5 
D)  6, -9, 6, -2; 6

Question 6

Evaluate the polynomial.
-$3 x^{3}-6 x^{2}+22$, when $x=-2$

Accepted Answer

A)  -26 
B)  -36 
C)  10 
D)  -38 
A)  -26 
B)  -36 
C)  10 
D)  -38

Question 7

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-8 y^{3}-2$

Accepted Answer

A)  Binomial, degree 4 
B)  Binomial, degree 3 
C)  Monomial, degree -8 
D)  Binomial, degree 0 
A)  Binomial, degree 4 
B)  Binomial, degree 3 
C)  Monomial, degree -8 
D)  Binomial, degree 0

Question 8

Multiply.
-$(8 m+9)^{2}$

Accepted Answer

A)  $64 \mathrm{~m}^{2}+81$ 
B)  $8 m^{2}+144 m+81$ 
C)  $8 m^{2}+81$ 
D)  $64 m^{2}+144 m+81$ 
A)  $64 \mathrm{~m}^{2}+81$ 
B)  $8 m^{2}+144 m+81$ 
C)  $8 m^{2}+81$ 
D)  $64 m^{2}+144 m+81$

Question 9

Evaluate.
-$m^{3}$ when $m=5$

Accepted Answer

A)  15 
B)  8 
C)  125 
D)  4 
A)  15 
B)  8 
C)  125 
D)  4

Question 10

Collect like terms.
-$5 x^{9}+9 x^{9}-7 x^{9}$

Accepted Answer

A)  Can't be simplified 
B)  $7 x^{27}$ 
C)  $7 x^{9}$ 
D)  $-315 x^{9}$ 
A)  Can't be simplified 
B)  $7 x^{27}$ 
C)  $7 x^{9}$ 
D)  $-315 x^{9}$

Question 11

Add.
-$\left(5 x^{2}-2 x y+y^{2}\right)+\left(5 x^{2}-2 x y-y^{2}\right)+\left(x^{2}+x y-y^{2}\right)$

Accepted Answer

A)  $10 x^{2}-4 x y-y^{2}$ 
B)  $9 x^{2}-5 x y-y^{2}$ 
C)  $11 x^{2}-3 x y+y^{2}$ 
D)  $11 x^{2}-3 x y-y^{2}$ 
A)  $10 x^{2}-4 x y-y^{2}$ 
B)  $9 x^{2}-5 x y-y^{2}$ 
C)  $11 x^{2}-3 x y+y^{2}$ 
D)  $11 x^{2}-3 x y-y^{2}$

Question 12

Give the coefficient and degree of the term.
-$-6 y^{13}$

Accepted Answer

A)  $-6,13$ 
B)  13,6 
C)  $13,-6$ 
D)  6,13 
A)  $-6,13$ 
B)  13,6 
C)  $13,-6$ 
D)  6,13

Question 13

Multiply.
-$\left(3 n^{9}+2\right)\left(3 n^{9}-2\right)$

Accepted Answer

A)  $3 n^{18}-4$ 
B)  $9 n^{18}-4$ 
C)  $9 n^{18}-6 n^{9}-4$ 
D)  $9 n^{18}+4$ 
A)  $3 n^{18}-4$ 
B)  $9 n^{18}-4$ 
C)  $9 n^{18}-6 n^{9}-4$ 
D)  $9 n^{18}+4$

Question 14

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$9 z^{5}+9 z^{4}+4 z^{3}+12$

Accepted Answer

A)  None, degree 5 
B)  Trinomial, degree 12 
C)  Trinomial, degree 5 
D)  Binomial, degree 13 
A)  None, degree 5 
B)  Trinomial, degree 12 
C)  Trinomial, degree 5 
D)  Binomial, degree 13

Question 15

Multiply.
-$\left(10 x+\frac{1}{5}\right)\left(10 x-\frac{1}{5}\right)$

Accepted Answer

A)  $100 x^{2}-\frac{1}{25}$ 
B)  $100 x^{2}+\frac{1}{25}$ 
C)  $100 x^{2}-4 x-\frac{1}{25}$ 
D)  $10 x^{2}-\frac{1}{25}$ 
A)  $100 x^{2}-\frac{1}{25}$ 
B)  $100 x^{2}+\frac{1}{25}$ 
C)  $100 x^{2}-4 x-\frac{1}{25}$ 
D)  $10 x^{2}-\frac{1}{25}$

Question 16

Collect like terms.
-$9 x^{8}-\frac{1}{2} x+8 x^{6}+\frac{1}{4} x+7 x^{8}$

Accepted Answer

A)  $16 x^{8}+8 x^{6}-\frac{1}{4} x$ 
B)  $16 x^{8}+8 x^{6}+\frac{1}{4} x$ 
C)  $24 x^{6}+\frac{1}{4} x$ 
D)  $24 x^{22}-\frac{1}{4} x$ 
A)  $16 x^{8}+8 x^{6}-\frac{1}{4} x$ 
B)  $16 x^{8}+8 x^{6}+\frac{1}{4} x$ 
C)  $24 x^{6}+\frac{1}{4} x$ 
D)  $24 x^{22}-\frac{1}{4} x$

Question 17

Collect like terms.
-$-11 b^{9}+13 b^{4}-6 b^{3}+3 b^{9}-3 b^{4}$

Accepted Answer

A)  Can't be simplified 
B)  $-12 b^{16}$ 
C)  $-8 b^{9}+10 b^{4}-6 b^{3}$ 
D)  $-192 b$ 
A)  Can't be simplified 
B)  $-12 b^{16}$ 
C)  $-8 b^{9}+10 b^{4}-6 b^{3}$ 
D)  $-192 b$

Question 18

What is the meaning of the expression?
-$-4 q^{3}$

Accepted Answer

A)  $-4 \cdot \mathrm{q} \cdot 3$ 
B)  $(-4 q)(-4 q)(-4 q)$ 
C)  $(-4)(-4)(-4)(\mathrm{q})$ 
D)  $-4 \cdot q \cdot q \cdot q$ 
A)  $-4 \cdot \mathrm{q} \cdot 3$ 
B)  $(-4 q)(-4 q)(-4 q)$ 
C)  $(-4)(-4)(-4)(\mathrm{q})$ 
D)  $-4 \cdot q \cdot q \cdot q$

Question 19

Simplify.
-$\left(2^{3}\right)^{-3}$

Accepted Answer

A)  20 
B)  $\frac{1}{2^{9}}$ 
C)  $2^{9}$ 
D)  $-3 \cdot 2^{3}$ 
A)  20 
B)  $\frac{1}{2^{9}}$ 
C)  $2^{9}$ 
D)  $-3 \cdot 2^{3}$

Question 20

Evaluate.
-$x^{1}$, when $x=15$

Accepted Answer

A)  17 
B)  15 
C)  30 
D)  450 
A)  17 
B)  15 
C)  30 
D)  450

Multiply. - $(-7 x-6)^{2}$

Evaluate. - $x^{0} ; x \neq 0$

Multiply. - $(9+x)(3 x-9)$

Add. - $\left(x^{3} y^{2}+4 x^{2} y^{3}+4 x y-1\right)+\left(x^{2} y^{3}+6 x^{3} y^{2}+4 x y+5\right)$

Identify the degree of each term and the degree of the polynomial. - $6 x^{5}-9 x^{2}+6-2 x^{3}$

Evaluate the polynomial. - $3 x^{3}-6 x^{2}+22$ , when $x=-2$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-8 y^{3}-2$

Multiply. - $(8 m+9)^{2}$

Evaluate. - $m^{3}$ when $m=5$

Collect like terms. - $5 x^{9}+9 x^{9}-7 x^{9}$

Add. - $\left(5 x^{2}-2 x y+y^{2}\right)+\left(5 x^{2}-2 x y-y^{2}\right)+\left(x^{2}+x y-y^{2}\right)$

Give the coefficient and degree of the term. - $-6 y^{13}$

Multiply. - $\left(3 n^{9}+2\right)\left(3 n^{9}-2\right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $9 z^{5}+9 z^{4}+4 z^{3}+12$

Multiply. - $\left(10 x+\frac{1}{5}\right)\left(10 x-\frac{1}{5}\right)$

Collect like terms. - $9 x^{8}-\frac{1}{2} x+8 x^{6}+\frac{1}{4} x+7 x^{8}$

Collect like terms. - $-11 b^{9}+13 b^{4}-6 b^{3}+3 b^{9}-3 b^{4}$

What is the meaning of the expression? - $-4 q^{3}$

Simplify. - $\left(2^{3}\right)^{-3}$

Evaluate. - $x^{1}$ , when $x=15$

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Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

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Polynomials: Factoring

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Exam 10: Polynomials: Operations

Multiply. - (−7x−6)2(-7 x-6)^{2}(−7x−6)2

Evaluate. - x0;x≠0x^{0} ; x \neq 0x0;x=0

Multiply. - (9+x)(3x−9)(9+x)(3 x-9)(9+x)(3x−9)

Add. - (x3y2+4x2y3+4xy−1)+(x2y3+6x3y2+4xy+5)\left(x^{3} y^{2}+4 x^{2} y^{3}+4 x y-1\right)+\left(x^{2} y^{3}+6 x^{3} y^{2}+4 x y+5\right)(x3y2+4x2y3+4xy−1)+(x2y3+6x3y2+4xy+5)

Identify the degree of each term and the degree of the polynomial. - 6x5−9x2+6−2x36 x^{5}-9 x^{2}+6-2 x^{3}6x5−9x2+6−2x3

Evaluate the polynomial. - 3x3−6x2+223 x^{3}-6 x^{2}+223x3−6x2+22 , when x=−2x=-2x=−2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - −8y3−2-8 y^{3}-2−8y3−2

Multiply. - (8m+9)2(8 m+9)^{2}(8m+9)2

Evaluate. - m3m^{3}m3 when m=5m=5m=5

Collect like terms. - 5x9+9x9−7x95 x^{9}+9 x^{9}-7 x^{9}5x9+9x9−7x9

Add. - (5x2−2xy+y2)+(5x2−2xy−y2)+(x2+xy−y2)\left(5 x^{2}-2 x y+y^{2}\right)+\left(5 x^{2}-2 x y-y^{2}\right)+\left(x^{2}+x y-y^{2}\right)(5x2−2xy+y2)+(5x2−2xy−y2)+(x2+xy−y2)

Give the coefficient and degree of the term. - −6y13-6 y^{13}−6y13

Multiply. - (3n9+2)(3n9−2)\left(3 n^{9}+2\right)\left(3 n^{9}-2\right)(3n9+2)(3n9−2)

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 9z5+9z4+4z3+129 z^{5}+9 z^{4}+4 z^{3}+129z5+9z4+4z3+12

Multiply. - (10x+15)(10x−15)\left(10 x+\frac{1}{5}\right)\left(10 x-\frac{1}{5}\right)(10x+51​)(10x−51​)

Collect like terms. - 9x8−12x+8x6+14x+7x89 x^{8}-\frac{1}{2} x+8 x^{6}+\frac{1}{4} x+7 x^{8}9x8−21​x+8x6+41​x+7x8

Collect like terms. - −11b9+13b4−6b3+3b9−3b4-11 b^{9}+13 b^{4}-6 b^{3}+3 b^{9}-3 b^{4}−11b9+13b4−6b3+3b9−3b4

What is the meaning of the expression? - −4q3-4 q^{3}−4q3

Simplify. - (23)−3\left(2^{3}\right)^{-3}(23)−3

Evaluate. - x1x^{1}x1 , when x=15x=15x=15